If a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s, what is the average acceleration of the car? Show all work.

Answers

Answer 1

If a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s, the average acceleration is 1.62m/s².

How to calculate acceleration?

The acceleration of a moving body can be calculated by dividing the change in velocity (∆V) by the time taken. That is;

a = v - u/t

Where;

a = accelerationv = final velocityu = initial velocityt = time

According to this question, a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s. The average acceleration is as follows:

acceleration = 21 - 0/13

acceleration = 1.62m/s²

Therefore, if a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s, the average acceleration is 1.62m/s².

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Related Questions

Jorge wants to know if yearly income and amount of tax returns are related in any way. In looking for an association between
these two variables, Jorge should utilize the method of research.
a. Correlational
b. Ethnographer
c. Naturalistic observation
d. Case study

Answers

The answer will be b

We have that In looking for an association between  these two variables, Jorge should utilize the

Correlational Research

This a research method that focuses on two variant variable and uses statistics to analyse the to achieve desired result

From The options  we have that

a Correlational Research

This a research method that focuses on two variant variable and uses statistics to analyse the to achieve desired result

b. Ethnographer Research

This is simply the a Research method that focuses on variable mostly people in the Natural habitat and studies them or conversations with them for best results

c. Naturalistic observation Research

This method of research focuses on people in the Natural environment to determine their mental State .It is use mostly by Psychologists

d. Case study Research

This is is the use of real life testimonies to develop results to a particular Research it entails the study of Past events.

In conclusion the different variables

Having understood the different methods

In looking for an association between  these two variables, Jorge should utilize the

Correlational Research

This a research method that focuses on two variant variable and uses statistics to analyse the to achieve desired result

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A force of 16N acts on a body of mass 90 kg for 2 min, if the body is initially at rest, the final velocity isA. 20.36 ms^- 1 B. 21.36 ms^- 1C. 22.36 ms^- 1D. 23.36 ms^- 1

Answers

Answer:

21.33 m s^-1

Explanation:

To find the final velocity, we will use the equation for impulse, so

\(I=Ft=mv_f-mv_i\)

Where F is the force, t is the time, m is the mass, vf is the final velocity and vi is the initial velocity. We know that

F = 16 N

t = 2 min = 120 s

m = 90 kg

vi = 0 m/s

vf = ?

Solving for vf, we get:

\(\begin{gathered} Ft+mv_i=mv_f \\ \\ v_f=\frac{Ft-mv_i}{m} \end{gathered}\)

Then, we can replace the values to get

\(\begin{gathered} v_f=\frac{(16\text{ N\rparen\lparen120 s\rparen- \lparen90 kg\rparen\lparen0 m/s\rparen}}{90\text{ kg}} \\ \\ v_f=\frac{1920\text{ kg m/s}}{90\text{ kg}} \\ \\ v_f=21.33\text{ m/s} \end{gathered}\)

Therefore, the answer is

21.33 m s^-1

2. For electric circuit shown in Figure find currents in each resistor.

2. For electric circuit shown in Figure find currents in each resistor.

Answers

The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.

What is the current flowing in each resistor?

The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;

The total voltage in loop 1 is calculated as;

2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

The current flowing in loop 2 is calculated as;

I = V/R

I₂ = ( 6 V - 4 V ) / (3 + 4)

I₂ = 0.286 A

The value of the current flowing in loop 1 is calculated as;

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0

6 - 3I₁ - 3₁ + 0.858 = 0

-6I₁ = -6.858

I₁ = 6.858 / 6

I₁ = 1.14 A

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According to the FITT Principle you should exercise how many days ?

Answers

you should exercise 2-3 times per week

During a car collision, the knee, thighbone, and hip can sustain a force no greater than 4000 N. Forces that exceed this amount could cause dislocations or fractures. Assume that in a collision a knee stops when it hits the car's dashboard. Also assume that the mass of the body parts stopped by the knee is about 20% of the total body mass. The person with a mass of 50 kg is initially traveling at 11 m/s (25 mi/h). What minimum stopping time interval (in seconds) is needed to avoid injury to the knee

Answers

Pay attention in class and you will know the answers

What type of atomic radiation will most deeply penetrate matter?
Multiple Choice
Beta radiation
Gamma radiation
Alpha radiation

Answers

ANSWER IS gamma radiation

Gamma rays can be emitted from the nucleus of an atom during radioactive decay. They are able to travel tens of yards or more in air and can easily penetrate the human body. Shielding this very penetrating type of ionizing radiation requires thick, dense material such as several inches of lead or concrete.

Define measurement.

Answers

Answer:

Measurement is the comparison of any physical quantity of an object to a standard unit which is pre-determined. The standard units such as length, time, mass etc are known as the Fundamental units of Measurement.

Explanation:

Any object that can be measured is known as a physical quantity. So, to measure the physical quantity, we require some standard units. A measurement consists of two parts - the numerical measurement and the standard unit which is pre-determined. For example, the length of a given table is 10cm, which implies that 10 is the numerical value and the standard unit of measurement is centimeter (cm).

Measurements can be both Fundamental and Derived. Examples of Fundamental quantities are Length, Time etc, while example of Derived quantity is speed which is derived from Length and Time.

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A train car, which has a mass of 2000 kg, is rolling along with a velocity of 20 m/s East. It
strikes a stationary car, which also has a mass of 2000 kg, and they stick together after the
collision. What is their final velocity? (include appropriate units in your answer) * 15

Answers

10m/s East

Explanation:

p=mv

m1v1 = m2v

p = m1v1

2000kg*(20m/s) = 40000kg*m/s

Add the two masses together for m2

p = m2v2

40000kg*m/s = 4000kg * v2

v2 = 10m/s

Help me with this thanks!

Help me with this thanks!

Answers

Answer:

a. slope = 1

b. 70

c. y = 1.058x - 3.29 (it says under the graph)

d. about -3.29 or -3.3

hope this helps:)

Question 17 of 25
You place a book on top of a spring and push down, compressing the spring
by 10 cm. When you let go of the book, it is pushed up by the spring. Which
statement describes what happens to the energy of the spring-book system?
A. The kinetic energy of the system decreases.
B. The elastic potential energy of the system increases.
C. The gravitational potential energy of the system decreases.
D. The total energy of the system remains constant.

Answers

When you compress the spring by 10 cm, you are doing work on the system, which increases the elastic potential energy of the spring-book system. When you let go of the book, the spring expands and releases the stored potential energy, which is converted back into kinetic energy of the book as it is pushed up. Therefore, the answer is:

B. The elastic potential energy of the system increases.

5. A ball is hit at 10.0 m/s at 30° above the horizontal. What is the net speed of the ball at the highest point of its motion?

Answers

The net speed of the ball at the highest point of the ball's motion which is hit at 10 m / s at 30° above the horizontal is 8.7 m / s

Net speed at the highest point of a projectile motion = Horizontal velocity component + Vertical velocity component

The direction of velocity of the ball is resolved into its horizontal and vertical components. It forms an right angled triangle.

cos θ = Adjacent side / Hypotenuse

cos θ = Horizontal component / Velocity

cos 30° = Horizontal component / 10

Horizontal component = 10 * 0.87

Horizontal component = 8.7 m / s

The vertical component of velocity at the highest point of a projectile motion is zero. Because as the ball moves higher the velocity decreases and finally reaches zero.

Net speed = 8.7 + 0

Net speed = 8.7 m / s  

Therefore, the net speed of the ball at the highest point of the ball's motion is 8.7 m / s

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What forms when two air masses meet and create weather?

Answers

when two different air masses meet, a boundary is formed. the boundary between two air masses is called a front. weather at a front is usually cloudy and stormy. there at four different fronts: cold, warm, stationary, and occluded
sheeeeshhhh respectfully ✊

you are using a wrench to rotate a bolt around its center. consider all the forces in (figure 1), indicated by the arrows, to have the same magnitude. which of the following scenarios apply zero torque?

Answers

The following situations use no torque. C=D, A,B,E,C,D.

Describe a magnitude example.

Size is referred to as magnitude. A automobile is traveling more quickly than a bike, for instance, when it comes to speed. In this case, the car is moving faster than the bike by a larger margin. It reveals the direction or size, whether absolute or relative, in which an object moves.

How big is a vector supposed to be?

The vector's length determines its magnitude. The symbol for the vector's magnitude is a. To learn more about a vector's magnitude, see to its introduction. Vector magnitude formulas for two dimensions.

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Does the mass change how a bouncy ball bounces

Answers

The more mass an object has, the more kinetic energy it has when dropped, due to gravity. ... If the force of impact is too great for the ball to absorb, it may collapse and lose its bounce as the energy is dissipated in a different manner.

Answer:

hiii what's up. and good morning hyd

Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate?

The wave has traveled 32.4 cm in 3 seconds.
The wave has traveled 32.4 cm in 9 seconds.
The wave has traveled 97.2 cm in 3 seconds.
The wave has traveled 97.2 cm in 1 secondMarco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32.4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate?

The wave has traveled 32.4 cm in 3 seconds.
The wave has traveled 32.4 cm in 9 seconds.
The wave has traveled 97.2 cm in 3 seconds.
The wave has traveled 97.2 cm in 1 second

Answers

Taking into account the definition of wavelength, frecuency and propagation speed, the wave has traveled 97.2 cm in 1 second.

Wavelength, frecuency and propagation speed

First of all, wavelength is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length.

On the other side, frequency is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

Finally, the propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave disturbance propagates along its displacement.

The propagation speed relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

Therefore, the previous expression establishes an inversely proportional relationship between the frequency and the wavelength: The higher the frequency, the lower the wavelength and when the frequency is lower, the greater the wavelength.

This case

In this case, you know:

v=?f= 3 Hzλ= 32.4 cm

Replacing in the definition of propagation speed:

v= 3 Hz× 32.4 cm

Solving:

v= 97.2 cm/s

In summary, the propagation speed is 97.2 cm/s. This indicates that the wave has traveled 97.2 cm in 1 second.

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Answer:

The wave has traveled 97.2 cm in 1 second.

Explanation:

took the test :)

explain why something falling reaches a top speed, draw free diagrams

Answers

when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.

PLEASE HELP URGETNT
When we look up into the night sky, we see
A) all the stars in the galaxy.
B) all the stars in the Milky Way.
C) only the stars surrounding Earth.
D) a few of the billions of stars in the galaxy.

Answers

Answer:

I think (d) is right answer

. The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth


Answers

A. The weight of the mass on the earth is 117.6 N

A. The weight of the mass on the moon is 19.56 N

How do i determine the weight of the mass?

Weight is defined as follow:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Now we shall determine the weight. Details below:

A. Weight on earth

Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s²   Weight on earth (W) =?

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 9.8

Weight on earth = 117.6 N

B. Weight on moon

Mass (m) = 12 KgAcceleration due to gravity on earth (g) = 9.8 m/s²  Acceleration due to gravity on moon (g) = (1/6) × 9.8 = 1.63 m/s² Weight on moon (W) =?

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 1.63

Weight on moon = 19.56 N

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Complete question:

The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon

URGENT!!! 50 POINTS NO CHATGPT!

A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water It takes a time of 3.00 s for the boat to travel from its highest point to its lowest, a total distance of 0.650 m
mThe fisherman sees that the wave crests are spaced a horizontal distance of 5.90 m apart


Part A
How fast are the waves traveling?
Express the speed v in meters per second using three significant figures.

What is the amplitude A of each wave?
Express your answer in meters using three significant figures.

Answers

Answer:

Part A: \(1.97ms^{-1}\) (2 s.f.)
Part B: 0.33m (2 s.f.)

Explanation:

Part A:

Frequency = \(\frac{1}{period} = \frac{1}{3}\) Hz

Wavespeed = frequency x wavelength
Wavelength = distance between two crests = 5.90

Freq = 1/3 Hz

Therefore: Wavespeed = 1/3 x 5.90

                  Wavespeed = 1.967 ms^-1

Part B:
Amplitude = \(\frac{peak-to-peak- amplitude }{2}\)

Peak to peak amplitude = 0.65m

Amplitude = 0.65/2 = 0.325m = 0.33m 2sf

Use the image below to answer the following question (ruler not to scale).






If magnet B is moved closer to magnet A, how will magnetic potential energy be affected?
O. It will become zero.
O. It willincrease.
O. It will decrease.
O. It will stay the same.

Please help

Answers

Answer:

it depends on wether the + and - are facing eachother

or away from eachother

Explanation:

Answer:

Yes, they are correct, you need to include all parts of the question, don't just copy and paste the words. But in the diagram that was supposed to be there, the magnets' north poles are facing each other. Therefore they would push away from each other if they were to get any closer.  So, the magnetic potential energy would decrease due to their movement away from each other. So your answer is (C. It will decrease.

Explanation:

X= -5, 1, 7,10,22 f(x)= 7,2,0,1,18 what is the domain of the range is 1

Answers

Answer:

Well if X= -5, 1, 7, 10, 22 and if f(x)= 7, 2, 0, 1, 18 than there is your answer.

Explanation:

[X= 1]

34. [8 Marks] A spring is compressed with a 5.0 kg mass by 20.0 cm from its equilibrium position. When the spring is released, the 5.0 kg mass travels along a smooth horizontal surface and then up a frictionless plane at 30° to the horizontal. Calculate the distance it would travel up the inclined plane before coming back down again. ​

Answers

Answer and Explaination:

To solve this problem, we can analyze the forces acting on the mass as it travels up the inclined plane. We'll consider the gravitational force and the force exerted by the spring.

1. Gravitational force:

The force due to gravity can be broken down into two components: one perpendicular to the inclined plane (mg * cosθ) and one parallel to the inclined plane (mg * sinθ), where m is the mass and θ is the angle of the inclined plane.

2. Force exerted by the spring:

The force exerted by the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The force can be written as F = -kx, where F is the force exerted by the spring, k is the spring constant, and x is the displacement from the equilibrium position.

Given:

Mass (m) = 5.0 kg

Compression of the spring (x) = 20.0 cm = 0.20 m

Angle of the inclined plane (θ) = 30°

First, let's find the force exerted by the spring (F_spring):

F_spring = -kx

To find k, we need the spring constant. Let's assume that the spring is ideal and obeys Hooke's Law linearly.

Next, let's calculate the gravitational force components:

Gravitational force parallel to the inclined plane (F_parallel) = mg * sinθ

Gravitational force perpendicular to the inclined plane (F_perpendicular) = mg * cosθ

Since the inclined plane is frictionless, the force parallel to the inclined plane (F_parallel) will be canceled out by the force exerted by the spring (F_spring) when the mass reaches its highest point.

At the highest point, the gravitational force perpendicular to the inclined plane (F_perpendicular) will be equal to the force exerted by the spring (F_spring).

Therefore, we have:

F_perpendicular = F_spring

mg * cosθ = -kx

Now, let's substitute the known values and solve for k:

(5.0 kg * 9.8 m/s^2) * cos(30°) = -k * 0.20 m

49.0 N * 0.866 = -k * 0.20 m

42.426 N = -0.20 k

k = -42.426 N / (-0.20 m)

k = 212.13 N/m

Now that we know the spring constant, we can calculate the maximum potential energy stored in the spring (PE_spring) when the mass reaches its highest point:

PE_spring = (1/2) * k * x^2

PE_spring = (1/2) * 212.13 N/m * (0.20 m)^2

PE_spring = 4.243 J

The maximum potential energy (PE_spring) is equal to the maximum kinetic energy (KE_max) at the highest point, which is also the energy the mass has gained from the spring.

KE_max = PE_spring = 4.243 J

Next, we can calculate the height (h) the mass reaches on the inclined plane:

KE_max = m * g * h

4.243 J = 5.0 kg * 9.8 m/s^2 * h

h = 4.243 J / (5.0 kg * 9.8 m/s^2)

h = 0.086 m

The height the mass reaches on the inclined plane is 0.086 m.

Now, we can calculate the distance traveled.

A 5.0 kg object compresses a spring by 0.20 m with a spring constant of 25 N/m. It climbs an incline, reaching a maximum height of 0.0102 m before coming back down, traveling a total distance of 0.0428 m.

Given data: Mass of the object, m = 5.0 kg, Displacement of the spring, x = 20.0 cm = 0.20 mAngle of the inclined plane, θ = 30°Calculating the spring constant, k. Using Hooke’s Law; F = -kx Where F is the restoring force required to bring the spring back to its equilibrium position.From the equation, F = ma For the object attached to the spring,m * a = -kx. On integrating,∫ma dt = -∫kx dt .On integrating the left side with limits from 0 to t and right side with limits from 0 to x, where the limits on the left are for acceleration and the right are for the displacement of the spring; mv - mu = -½ kx²At maximum compression, the velocity of the mass is zero, i.e., v = 0 and the initial velocity is also zero. Therefore, mv - mu = -½ kx²0 - 0 = -½ k (0.20)²∴ k = 25 N/mWork done on the spring in compressing it, W = ½ kx² = 0.5 * 25 * (0.20)² = 0.5 JSince the inclined plane is frictionless, the only force acting on the object will be the component of its weight acting along the plane. Hence, it will move up the incline with an acceleration of, a = g sin θ = 9.8 * sin 30° = 4.9 m/s²When the object has reached its maximum height, its velocity will be zero. Using the equation of motion; v² - u² = 2as0 - u² = 2as∴ s = u² / 2a. Now, the initial velocity of the object up the incline is,u = √(2gH)Where H is the height to which it climbs, and is given by, H = W / m g Where W is the work done on the object in lifting it to height H, and m is the mass of the object. W = 0.5 J, m = 5 kg. So, H = 0.5 / (5 * 9.8) = 0.0102 m∴ u = √(2gH) = √(2 * 9.8 * 0.0102) = 0.4525 m/sNow, the distance traveled by the object up the incline is,s = u² / 2a = (0.4525)² / (2 * 4.9) = 0.0214 m. When the object comes back down, it will travel the same distance down the incline, before coming to rest. Therefore, the total distance travelled up and down the incline is,2s = 2 * 0.0214 = 0.0428 m.

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A capacitor is connected to a 9 V battery and acquires a charge Q. What is the charge on the capacitor if it is connected instead to an 18 V battery

Answers

C = Q/V, and since C is a constant, if voltage is doubled, charged will be doubled as well. Therefore charge will be 2Q

An athlete can exercise by making mechanical waves in ropes. What is the
medium of these waves?
A. Energy
B. The rope
C. The athlete
D. Air

Answers

Answer:

It would be B. The Rope

Explanation:

I say this because the rope is transferring energy from one location to another. Now, I could be totally wrong on this but I think this is right lol.

Answer:

The answer is B the rope.

Hope this helps <3 ;)

person a and b traveling away from each other. It takes person a 2 hours to travel a full circle, and person b 5 hours to travel a full circle. how much time will it take for a and b to meet?

person a and b traveling away from each other. It takes person a 2 hours to travel a full circle, and

Answers

Let the circumference of the circle be 10L.

A moves at 10L/2 = 5L per hour

B moves at 10L/5 = 2L per hour

Therefore it takes 10L/(5L+2L) = 10/7 hours

101. A propeller is accelerated from rest to an angular velocity of 1000 rev/min over a period of 6.0 seconds by a constant torque of 2.0×103N⋅m . (a) What is the moment of inertia of the propeller? (b) What power is being provided to the propeller 3.0 s after it starts rotating?

Answers

The power being provided to the propeller 3.0 seconds after it starts rotating is approximately 21.8 MW and the moment of inertia of the propeller is approximately 0.55 kg⋅m².

What kind of forces do hydraulic systems produce?

In hydraulic systems, forces are transferred from one area to another inside an incompressible fluid, such as water or oil. Most aircraft's landing gear and braking systems are hydraulic. In order to function, pneumatic systems need a compressible fluid like air.

I = (τt²) / (2πΔθ)

Substituting the given values, we get:

I = (2.0×10³ N⋅m × (6.0 s)²) / (2π × (1000 rev/min) × (1 min/60 s) × 2π)

I ≈ 0.55 kg⋅m²

P = τω

ω = ω₀ + αt

where ω₀ is the initial angular velocity (0 in this case), α is the angular acceleration, and t is the time.

ω = 0 + (τ/I)t

ω = (2.0×10³ N⋅m) / (0.55 kg⋅m²) × (3.0 s)

ω ≈ 10,909 rad/s

P = (2.0×10³ N⋅m) × (10,909 rad/s)

P ≈ 2.18×10⁷ W

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select and explain three features of the solar panel that maximises the final temperature of the water​

Answers

Answer:

Irradiance (sunlight intensity or power), in Watts per square meter falling on a flat surface. ... Air Mass refers to “thickness” and clarity of the air through which the sunlight passes to reach the modules (sun angle affects this value). ... Cell temperature , which will differ from ambient air temperature

- A certain mass is suspended at one end of a spring of spring-constant of 32,000gm/s2. The
time taken to execute 10 oscillations is 15 second.
(a) What is the time period?
(b) What is the value of mass suspended at the end of the spring.

Answers

Answer: I am pretty sure it is (b) what is the value of mass suspended at the end of the spring.

Explanation:

in a typical cop movie we see the hero pulling a gun firing that gun straight up into the air and shouting

Answers

It is not recommended to fire a gun straight up into the air.

When a bullet is fired into the air, it will eventually come down and can pose a danger to people and property below. The bullet can still be lethal when it reaches the ground, especially if it lands on a hard surface or hits someone directly.

Additionally, firing a gun in a residential area can be illegal and can result in legal consequences. In general, guns should only be fired in designated shooting ranges or in self-defense situations where there is an immediate threat to life. It is important to handle firearms responsibly and follow all safety guidelines to prevent accidents and injuries.

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A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. What is the time the diver was in the air?

Answers

The answer is that the time the diver was in the air is 1.13 seconds.

To determine the time the diver was in the air, we can use the kinematic equation:

Δy = viΔt + 1/2at²,

where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0

m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²

Simplifying, we get:

4.9t² + 5.5t - 3.0 = 0

We can solve for t using the quadratic formula:

t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s

Since time cannot be negative, the time the diver was in the air is 1.13 seconds.

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The expression 50(1. 012,7t represents the number of subscribers who have signed up for aIf the expression can be rewritten as 50(1 + r), what is the approximate value of r?+A 0. 087B) 0. 144C 1. 084D 7. 084 which of the following is one possible explanation for g?a.boys and girls develop different abilities because they have different interests.b.separate abilities depend on the same influences, such as health and nutrition.c.monozygotic twins share more of their genes than dizygotic twins do.d.advances in technology expose children to more stimulation now than in the past. A U.S.-based organization uses gold in its electrical leads to provide a superior sound system product. In regards to conflict minerals, what does it need to do if this gold comes from South Africa How many 5 are there in 1000 to 2000 calculate the number of nitrogen atoms in 20.9 grams of nitrogen 5, 30, 80 find the 7th term One root of f(x)=x^3-4x^2-20x+48 is x=6 what are all the factors of the function use the remainder theorem Find two consecutive odd integers whose product is 195. 4. Compare and contrast two of the following types of government: AutocracyOligarchyDemocracyBe sure to describe both the similarities and the differences between the types you select. Help me this please calculate the volume of 3.5liter water in m^3 What is the slope of y+2=3(x-7) Add a supersized method to each of your geometric shape interfaces and classes that returns a new geometric shape, of the same type as the receiver, that is twice as large in each dimension as the receiver. for example, supersizing a cone with radius 10 and height 4 should return a new cone with radius 20 and height 8 How would you write the phrase below as an algebraicexpression?3 decreased by a number times 2O 3x+23-2x2x-3O 2(3)-x Can someone help me with my essay plz the (5a) one Gordon Growth Company is expected to pay a dividend of $4 next period, and dividends are expected to grow at 6% per year. The required return is 16%. -What is the current price The entry to record a sale of $620 with an estimated return rate of 5% will include a debit to Refund Liability for for $31. debit to Sales for $31. credit to Sales for $589. credit to Accounts Receivable for $589. The graph shows the yearly balance, in dollars, in an investment account.5,0004,0003,000amount in dollars.2.0001,00002412146 8 10number of yearsa. What is the initial balance in the account? Austin Grocers recently reported the following 2021 income statement (in millions of dollars): For the coming yeaz, the company is forecasting a 15% increase in sales, and it expects that its year-end operating costs, including depreciation, will equal 65% of sales. Austin's tax rate, interest expense, and dividend poyout ratio are all expected to remain constant. a. What is Austin's projected 2022 net income? Enter your answer in millions. For example, an answer of $13,000,000 should be entered as 13 , Do not round intermed ate calculstions. Round your answer to two decimal places. $ milion b. What is the expected growth rate in Austin's dividends? Do not round intermediate calculations. Round your answer to two decimal piaces. For each of the figures shown below, the existing coordinates are listed. Follow the instructions for each shape and perform the specified rigid motion. Clearly list ALL the coordinates for the new image.A triangle with points A (2, 3), B (2, -1), and C (-3, -1) . Translate 3 units to the left and 4 units up.