A motorcycle traveling at 25 m/s accelerates at a rate of 6 m/s/s for 6 seconds. What is the final speed of the motorcycle in m/s? Round your answer to a whole number.

Answers

Answer 1

Given:

The initial speed of the motorcycle is,

\(u=25\text{ m/s}\)

The acceleration is,

\(a=6\text{ m/s/s}\)

The time interval is,

\(t=6\text{ s}\)

The final speed is given by,

\(v=u+at\)

Substituting the values we get,

\(\begin{gathered} v=25+(6\times6) \\ =61\text{ m/s} \end{gathered}\)

Hence, the final speed is 61 m/s.


Related Questions

reasons why X-rays are used in crystallization

Answers

Answer:

The reason X-rays are used in this process is because the clouds of electrons are at the same scale as the X-ray radiation wavelength. This means that the radiation is deflected and scattered by the electrons of the atoms in the crystal. The deflected X-ray beams produce a scattering distribution which is proportional to the scattering angle.

Explanation:

Answer:

Because X-rays have wavelengths similar to the size of atoms, they are useful to explore within crystals. Thus, since X-rays have a smaller wavelength than visible light, they have higher energy. With their higher energy, X-rays can penetrate matter more easily than can visible light.

Explanation:

One of the major differences between our common Physics models of energy change and realistic models of them is:

a
In the Physics models, the acceleration due to gravity is rounded to a non-exact but easier to use number
b
In the Physics models, the velocities are only calculated at set intervals of time, instead of continuously
c
In the Physics models, the objects are assumed to have simplified shapes in order to make motion by acceleration easier to calculate
d
In the Physics models, we do not take into account the energy change by the friction of moving components

Answers

Answer:

d

In the Physics models, we do not take into account the energy change by the friction of moving components

Answer:

In the Physics models, we do not take into account the energy change by the friction of moving components

Which statement is true about the theory of plate tectonics and the theory of continental drift?

A) The theory of plate tectonics proves the theory of continental drift completely wrong.

B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.

C) The theory of plate tectonics gives the method by which continents can move as part of plates.

D) The theory of plate tectonics does not explain how continental movements could occur.

Answers

The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .

What is theory of plate tectonics and the theory of continental drift ?

According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.

The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.

According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.

Therefore, option C is correct.

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Select four of the following that would increase the magnetic field of an electromagnet

Select four of the following that would increase the magnetic field of an electromagnet

Answers

Answer:

The correct answers are: A, C, D, E

Explanation:

The magnetic field is a solenoid is given by

         B = μ₀  \(\frac{N}{L}\)   I

where N is the number of turns, I the current and L length of the solenoid.

Using this equation let's examine the different responses to permute increasing the magnetic field

A) True. a thicker wire decreases the resistance and the current can increase the system.

B) False. If there is no voltage source there is no current in the system

C) True. the field is proportional to the number of turns

D) True. the magnetic moments of the core align with the field increasing its value

E) True. When the loops are closer together, more of them can fit per unit length

F) False. If the wire is shorter the number of turns decreases.

The correct answers are: A, C, D, E

A mixture of colloids, clay, silt, sand, pebbles, and cobbles is put into stream I at point A. The water
velocity at point A is 400 centimeters per second. A similar mixture of particles is put into stream II at
point A. The water velocity in stream II at point A is 80 centimeters per second.
Which statement best describes what happens when the particles are placed in the streams?
A) Stream I will move all particles that are added at point A.
B) Stream II will move all particles that are added at point A.
C) Stream I cannot move sand.
D) Stream II cannot move sand.

Answers

A combination of colloids, clay, silt, sand, pebbles, and cobbles is positioned into the move I at factor A. The water choice B) stream II will pass all debris that might be added at point A.

Circulation speed is the velocity of the water inside the flow. units are distance in step with time (e.g., meters in keeping with second or feet in keeping with second). movement speed is best in midstream close to the surface and is slowest alongside the movement mattress and banks due to friction.

Larger particles are much more likely to fall through the upward currents to the lowest, until the flow price increases, growing the turbulence on the streambed. in addition, suspended sediment will no longer always remain suspended if the drift charge slows.

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The Surface Pressure at Leh, Ladakh is 800 mb. Now, assuming that Leh is at an altitude of 3500 m and every 100 m increase in height with respect to sea level corresponds to 10 mb pressure, What is the Sea Level Pressure at Leh

Answers

We have that the sea level pressure for Leh area is 1150mb mathematically given as

Ps= 1150 mb

Sea level pressure

Question Parameters:

Ladakh is 800 mb.

assuming that Leh is at an altitude of 3500 m and every 100 m

increase in height with respect to sea level corresponds to 10 mb pressure,

Generally, for 3500m the pressure change will be 350 mb.

Therefore,  here for the sea level pressure we need to add,

Ps=800+350

Ps= 1150 mb

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Kyle travels at an average speed of 64km/h to get from his home to the Maryborough show. Determine
how many minutes (to 2 decimal places) this would take if the distance Kyle needed to travel was
37.6km.

Answers

t = d : v

t = 37.6 km : 64 km/h

t = 0.5875 h = 35.25 min  

The density for manganese is 7.47 g/cm3. What would be the mass of a 45 cm3 piece of manganese?
A. 336.15g
B. 6.02g
C. 672.3g
D. 333g

Answers

Answer:

A. 336.15g

Explanation:

Sana makatulong

the other person is right, it’s a .336.15g

What is an induction?

Answers

Induction is the process of introducing a new employee to the company culture and processes with the aim of bringing them up to speed as quickly as possible as well as making them feel socially comfortable and aware of their professional responsibilities. Companies will typically have an induction programme in place and follow the same processes for all new hires, although the induction process is may vary depending on the industry, the job role and the seniority of the new hire.


Answer:

An induction is the process a new recruit goes through to be introduced to the company and their new role. ... Beyond the initial days, the induction programme continues for many months, so that the new employee can fully integrate into life in the company and settle into their role to become a valuable member of staff.

Explanation:

hope this help

pick me as the brainliest

You are a world-famous physicist-lawyer defending a client who has been charged with murder. It is alleged
that your client, Mr. Lawton, shot the victim, Mr. Cray. The detective who investigated the scene of the
crime, Mr. Dibny, found a second bullet, from a shot that missed Mr. Cray, that had embedded itself into a
chair. You arise to cross-examine the detective.
You: In what type of chair did you find the bullet?
Dinby: A wooden chair.
You: How massive was this chair?
Dinby: It had a mass of 20 kg.
You: How did the chair respond to being struck with a bullet?
Dinby: It slid across the floor.
You: How far?
Dinby: Three centimeters. The slide marks on the dusty floor are quite distinct.
You: What kind of floor was it?
Dinby: A wood floor.
You: What was the mass of the bullet you retrieved from the chair?
Dinby: Its mass was 10 g.
You: Have you tested the gun you found in Mr. Lawton's possession?
Dinby: I have.
You: What is the muzzle velocity of bullets fired from that gun?
Dinby: The muzzle velocity is 450 m/s.
With only slight hesitation, you turn confidently to the jury and proclaim, "My client's gun did not fire those
shots!"
(a) How are you going to convince the jury and judge?
(b) Choose one part of your solution and perform a sense-making analysis. Clearly state which sensemaking analysis you’ve chosen and why.

Answers

Answer:

It was not fired from the client's gun because the chair slid only 3 centimeters . If it had been fired from the client's gun the chair would slid 25.82 centimeters.

Explanation:

According to the law of conservation of momentum the momentum of the system before collision must be equal to the momentum of the system after the collision.

M1u1= m2u2

Let M1 = mass of the chair = 20kg

     m2= mass of the bullet= 10g= 0.001kg

      u1= velocity of the chair before collision = zero m/s

      u2 =  velocity of the bullet before collision = zero m/s

         v1= velocity of the chair after collision = ?  m/s  

        v2 =  velocity of the bullet after collision = 450 m/s

After collision their velocities change from u1 to v1 and u2 to v2 so

M1v1= m2v2

v1= m2v2/M1

v1= 0.01 *450/ 20=  0.225 m/s

Now according to the law of conservation of energy the energy of the system before collision must be equal to the energy of the system after the collision.

The energy of the chair after the bullet is hit is

KE of the chair + KE of the bullet=  1/2 (M)(v1)²+ 1/2 m(v2)²=

1/2 ( 20) (0.225 )² + 1/2 (0.01) (450)²

= 0.50625 + 1012.5=  1013.00625 Joules

Frictional force = Coefficient of kinetic force of wood on wood ( M+m) g

                           = 0.2* ( 20.01) 9.8=   39.2196 N

Work done by friction = frictional force * distance

If law of conservation of energy is applied  the KE  must be equal to the work done

KE = W

W= f*d

KE= F*d

d = KE/f= 1013.00625/ 39.2196= 25.82 cm

The chair did not move 25.82 cm .

It only moved 3 centimeter.

Hence the bullet fired was not from the client's gun.

A sheet of glass having an index of refraction of 1.49 is to be coated with a film of material having an index of refraction of 1.62 in order that green light with a wavelength of 534 nm (in air) will be preferentially transmitted via constructive interference. (a) What is the minimum thickness of the film that will achieve the result

Answers

Answer:

the required minimum thickness is 179.19 nm

Explanation:

Given the data in the question;

Refraction index of air n₁ = 1

Refraction index of sheet n₂ = 1.49

Refraction index of film n₃ = 1.62

wavelength of green light λ = 534 nm

In the data given, n₂ > n₃

so, this case has no pie-phase shift,

the condition for constructive interference will be;

mλ = 2Ln₂

L = mλ / 2n₂

so we substitute

L = m(534) / 2( 1.49 )

L = m( 534/ 2.98 )

L = m( 179.19 nm )

so for minimum value of L,

let m = 1

such that, L\(_{min\) will be;

L\(_{min\) = 1 × ( 179.19 nm )

L\(_{min\) = 179.19 nm

Therefore, the required minimum thickness is 179.19 nm

A 0.20kg ball is released from rest at a height of 30cm above an ideal vertical spring. The spring has a spring constant of 25Nm, and all motion is restricted to the vertical direction. The maximum compression of the spring is most nearly:A) 0 mB) 0.08 mC) 0.15 mD) 0.22 mE) 0.31 m

Answers

When a 0.20 kg ball is released from rest at a height of 30 cm above an ideal vertical spring, the spring's maximum compression is 0.22m. The spring has a 25Nm spring constant.

As a result, The ball's mass is m = 0.2 kg.

Height h = 30 cm = 0.3 m above the vertical spring

K, the spring constant, is 25 N/m.

The fact that the ball is released from rest is a given. So, u = 0

The spring's maximum compression must be determined.

As a result of equating the spring's potential energy with its applied force, we obtain 1/2 * k * x2 = m* g* h 1/2 * 25 * x2 = 0.2 * 10* 0.3 x2 = (2* 0.3 * 2)/25 x = 0.219 m 0.22 m.

As a result, the spring's maximum compression was measured at 0.22m.

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A source of sound of frequency 2100 Hz is placed at the open end of a tube. The other end of the tube is closed. Powder is sprinkled inside the tube. When the source is turned on it is observed that the powder collects in heaps a distance of 8.0 cm apart.
a.Explain this observation.
b. Use this information to estimate the speed of
sound.

Answers

The speed of sound in air is approximately 336 m/s.

What are antinodes?

When sound waves are produced by the source, they travel through the air inside the tube towards the closed end. At the closed end, the sound waves are reflected back towards the open end of the tube. At the open end, the sound waves are once again reflected, but this time they interfere constructively with the original sound waves. This interference leads to the formation of a standing wave pattern inside the tube. The powder inside the tube collects in heaps at the locations where the sound waves create points of maximum displacement, called antinodes.

Equation:

Since the frequency of the sound wave is known, the distance between adjacent antinodes can be calculated using the formula:

d = λ/2

where d is the distance between adjacent antinodes, and λ is the wavelength of the sound wave.

Using the distance between adjacent antinodes (d = 8.0 cm = 0.08 m), we can calculate the wavelength of the sound wave:

λ = 2d = 2 x 0.08 m = 0.16 m

We can also use the formula for the speed of sound in air to calculate the speed of sound:

v = fλ

where v is the speed of sound, f is the frequency of the sound wave, and λ is the wavelength of the sound wave.

Substituting the values, we get:

v = 2100 Hz x 0.16 m = 336 m/s

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A 4260-kg roller coaster train full of riders approaches the level loading dock at a speed of 19.0 m/s. It is abruptly decelerated to a speed of 3.2 m/s. Determine the work done on the roller
coaster.
KE+PE+Wext=KE+ PE

Answers

Answer:

below

Explanation:

The change in Kinetic Energy is equal to the work done

  KE = 1/2 mv^2

      Change in KE =   1/2 m (19^2 - 3.2^2) = 747.1 kjoules

a true statement of
kinetic theory

Answers

Answer:

real kinetic theory means that kinetic energy

2. When a fire truck moves away from you, you hear the pitch of the siren go down. This is
because of
(10 Points)
resonance
beats
harmonic
the Doppler effect

Answers

the Doppler effect. (I don't know how to explain it lol)

Doppler is correct

an increase (or decrease) in the frequency of sound, light, or other waves as the source and observer move toward (or away from) each other. The effect causes the sudden change in pitch noticeable in a passing siren

A woman lifts a barbell 2.0 m in 5.0 s. If she lifts it the same distance in 10 s, the work done by her is:

Answers

The work done by the woman is independent of the time taken to lift the barbell, as long as the distance lifted remains constant.

The work done by the woman lifting the barbell can be calculated using the formula:

work = force x distance

Assuming the force required to lift the barbell remains constant, the work done is directly proportional to the distance lifted.

Therefore, if the woman lifts the barbell 2.0 m in 5.0 s, the work done is:

work1 = force x distance1 = force x 2.0 m

If she lifts it the same distance in 10 s, the work done is:

work2 = force x distance2 = force x 2.0 m

Since the distance lifted is the same in both cases, the work done by the woman is the same, and can be expressed as:

work1 = work2 = force x 2.0 m

Therefore, the work done by the woman is independent of the time taken to lift the barbell, as long as the distance lifted remains constant.

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B6. [9 Marks] 30⁰ 20140X20 DE Ofe OTO A stainless-steel orthodontic wire is applied to a tooth as shown in the diagram below. The wire has an unstretched length of 3.1 cm and a diameter of 0.22 mm. If the wire is stretched by 0.10 mm during the procedure, find the magnitude and direction of the force on the tooth. Disregard the width of the tooth and assume Young's modulus for stainless-steel is 18 × 10¹0 Nm-². ​

Answers

The magnitude of the force on the tooth is approximately 0.022 N.

To find the magnitude and direction of the force on the tooth, we can use Hooke's Law, which states that the force exerted on an object is directly proportional to the change in length of a material when it is stretched or compressed.

First, we need to calculate the strain (ε) of the stainless-steel wire.

Strain is defined as the change in length divided by the original length:

ε = ΔL / L₀

Given that the change in length (ΔL) is 0.10 mm \((0.10 \times 10^{-3} m)\) and the unstretched length (L₀) is 3.1 cm \((3.1 \times 10^{-2} m)\), we can calculate the strain:

\(\epsilon=(0.10 \times 10^{-3} m)/(3.1 \times 10^{-2} m)=0.003225\)

Next, we can use Young's modulus (E) to calculate the stress (σ) in the wire.

Stress is defined as the force per unit area:

σ = E * ε

Given that Young's modulus (E) for stainless-steel is 18 × 10¹⁰ N/m², we can calculate the stress:

σ = (18 × 10¹⁰ N/m²) * 0.003225 = 5.805 × 10⁸ N/m²

Now, we can find the force (F) on the tooth by multiplying the stress by the cross-sectional area (A) of the wire:

F = σ * A

The cross-sectional area (A) can be calculated using the formula for the area of a circle:

A = π * (d/2)²

Given that the diameter (d) of the wire is 0.22 mm\((0.22 \times 10^{-3} m)\), we can calculate the cross-sectional area:

\(A = \pi * (0.22 \times 10^-3 m / 2)^{2} = 3.802 \times 10^{-8} m^2\)

Finally, we can calculate the force:

\(F = (5.805 \times 10^{8} N/m^{2}) * (3.802 \times 10^-8 m^{2}) \approx 2.206 \times 10^{-2} N\)

Therefore, the magnitude of the force on the tooth is approximately 0.022 N.

Since the wire is stretched, the force is pulling the tooth in the direction opposite to the stretching.

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A 0.14-km wide river flows with a uniform speed of 4.0 m/s toward the east. It takes 20 s for a boat to cross the river to a point directly north of its departure point on the south bank. What is the speed of the boat relative to the water

Answers

Answer:

The right approach is "8.1 m/s". A further explanation is provided below.

Explanation:

According to the table,

Speed of Boat

= \(\frac{s}{t}\)

\(V_b=\frac{140}{20}\)

\(V_a = 4 \ m/s\)

\(V_B = 7 \ m/s\)

Now,

⇒  \((V_{relative})^2 = (7)^2+(4)^2\)

or,

⇒  \((V_r)^2=49+16\)

              \(=65\)

         \(V_r=\sqrt{65}\)

              \(=8.1 \ m/s\)

A man is standing away from the School
Building at a distance of
300m . He claps his hands and hears an echo calculate the time interval of him hearing his echo

Answers

The time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

What do you mean by echo?

An echo is a repetition or reflection of a sound or signal. It can be caused by sound waves bouncing off a surface, signal interference, or the repetition of a message in communication.

The speed of sound in air at room temperature is approximately 343 meters per second. When a person claps, the sound waves propagate outward in all directions and reach the school building, where they bounce off and return to the person as an echo. The time it takes for the sound to travel the distance to the building and back to the person is the time interval between the clap and the echo.

To calculate the time interval, we can use the following formula:

time = distance / speed

where distance is the total distance traveled by the sound (twice the distance from the person to the school building), and speed is the speed of sound in air.

distance = 2 x 300m = 600m

speed = 343 m/s

time = 600m / 343 m/s = 1.75 seconds (rounded to two decimal places)

Therefore, the time interval between the man clapping and hearing his echo is approximately 1.75 seconds.

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What causes friction between two solids?

Answers

Friction because they will be touching

Answer:

Friction is when 2 solids move against each other. The cause of friction is adhesion, and surface roughness. Surface roughness is when a surface is rough enough that is causes friction against another surface. Adhesion is when 2 surfaces collide because of thier molecular force.

What is the average power consumption in watts of an appliance that uses 5.00 KW.h of energy per day?

Answers

(A) power = 0.208 kW = 208 watts
(B) energy = 6.6 x 10^{9} joules

Explanation:
energy consumed per day = 5 kWh
(a) find the power consumed in a day
1 day = 24 hours
power = \frac{energy}{time}
power = \frac{5}{24}
power = 0.208 kW = 208 watts

(b) find the energy consumed in a year
assuming it is not a leap year and number of days = 365 days
1 year = 365 x 24 x 60 x 60 = 31,536,000 seconds
energy = power x time
energy = 208 x 31,536,000
energy = 6.6 x 10^{9} joules

the wavelength produce by a shallow water body is 200mm. If the refractive index is 0.5. calculate the wavelength in deep water​

Answers

Answer:

400mm

Explanation:

Refractive index is the ratio of the wavelength in the shallow water to that in deep water.

Refractive index = λs/λd

Given

Refractive index = 0.5

λs = 200mm

Required

0.5 = 200/λd

λd = 200/0.5

λd = 400mm

Hence the wavelength in deep water is 400mm

A chemical system is considered to have reached dynamic equilibrium when:__________.
a. the frequency of collisions between the reactant molecules is equal to the frequency of collisions between the product molecules.
b. the rate of production of each of the product species is equal to the rate of consumption of each of the reactant species. c. the rate of production of each of the products is equal to the rate of their consumption by the reverse reaction.
d. the sum of the concentrations of each of the reactant species is equal to the sum of the concentrations of each of the product species.
e. the activation energy of the forward reaction is equal to the activation energy of the reverse reaction.

Answers

Answer:

D

Explanation:

Sum of the concentrations of each of reactant species is equal to the sum of the concentrations of each of the product species

A bowling bowl of mass 6.2 kg moves with a velocity of 9.4 m/s. A resistive force of -6.0 N is applied for 2.5 sec. Find the final velocity.

Answers

The final velocity of the bowling bowl is 6.98 m/s.

Newton's second law of motion

The final velocity of the bowl is calculated by applying Newton's second law of motion as follows;

\(F = \frac{m(v-u)}{t} \\\\\)

where;

F is the applied on the bowling bowlm is the mass of the bowling bowlv is the final velocity of the bowling bowlu is the initial velocity of the bowling bowlt is the time of motion of the bowling bowl

\(m(v-u) = Ft\\\\v-u = \frac{Ft}{m} \\\\v = \frac{Ft}{m} + u\\\\v = \frac{-6 \times 2.5}{6.2} + 9.4\\\\v = 6.98 \ m/s\)

Thus, the final velocity of the bowling bowl after the resistive force was applied is 6.98 m/s.

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When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?

Answers

The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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write physical quantities and its unit​

Answers

length= metre

mass= kg

time= second

temperature = kelvin

current= ampere

luminous intensity= candela

Amount of substance = mole

etc

I hope this will help you

stay safe

Pls help!!
Which situation describes a system with increasing gravitational potential energy?
a boy jumping down from a tree limb
a girl stretching a horizontal spring
a bicyclist riding up a steep hill
a train speeding up on a flat track

Answers

C) a bicyclist riding up a steep hill

The metaphor for a system with rising gravitational potential energy is "a bicyclist riding up a steep hill." Let's get into greater detail:

A cyclist faces resistance from gravity as they ride up a steep slope. The cyclist's elevation, or height above the ground, rises as they cycle and climb uphill. Gravity is pulling the cyclist down the hill by exerting downward force. The cyclist must apply force to the pedals in order to move forward and overcome the pull of gravity. In order to do this, the bicyclist must transform chemical energy from their body into mechanical energy. The distance of the cyclist from the centre of the Earth grows as they ride up the hill. The height and mass of an object affect its gravitational potential energy. In this scenario, as the bicyclist's height rises, their gravitational potential energy also rises.

     Due to the higher elevation, the energy input from the biker is stored as increased potential energy. When the bicycle descends the hill or does work, this potential energy can be transformed back into kinetic energy or other types of energy.

The world's demand for fuel is ever increasing. Identify the fuel type predicted to run out within the next hundred years. ​

Answers

Answer: It is clear that the fuels currently used will not be sustainable for the exponential growth of our energy demand. Although it is difficult to accurately predict the fuels that we will use, however it is clear that the powerful combustion of hydrogen is expected to be used especially to propel the aerospace and aeronautical industry. We can also highlight the use of nuclear fusion energy that until now is taking its first steps and finally it is quite likely that solar energy will continue to be used but in a much more powerfull and efficient way.

A person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a
height of 52 m and it lands a distance of 35 m from the base of the cliff. What is the speed at
which the rock was initially kicked?

Answers

The time will be the same for both horizontal and vertical component. The initial speed is 10.7 m/s

What is Speed ?

Speed is a distance travel per time taken. It is a scalar quantity and it is measured in m/s

Given that a person standing at the edge of a seaside cliff kicks a rock horizontally of the cliff from a height of 52 m and it lands a distance of 35 m from the base of the cliff.

The rock will move vertically downward with initial velocity = 0. The time taken will be constant. That is, same horizontally.

Let us first calculate the time by using the formula

h = ut + 1/2gt²

Where

h = 52 mu = 0Range R = 35 mg = 9.8 m/s²

Substitute all the necessary parameters into the formula

52 = 0 + 1/2 × 9.8 × t²

52 = 4.9t²

t² = 52/4.9

t² = 10.6

t = √10.6

t = 3.26 s

The speed at which the rock was initially kicked can be found by

R = Ut

35 = U × 3.26

U = 35/3.26

U = 10.7 m/s

Therefore, rock was initially kicked at a speed of 10.7 m/s

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