Suppose Tom Harmon17 is standing at the exact center of the Ohio State football field18 on the 50 yard line. The field is 300 feet long and 160 feet wide. Suppose the ball leaves Harmon’s hand at a height of six feet and has initial velocity v(0) = 40i + 39j + 32k feet per second where j points toward the sideline, i points toward the end zone, and k = i × j points straight up. The acceleration due to gravity is −32k feet per second squared and the mass of the football is .45 kilograms.
(a) Determine a parameterization for the position of the football at time t seconds after it is thrown.
(b) Suppose David Nelson19 catches the ball when it is six feet above the ground. Is Nelson in bounds or out of bounds when he catches the ball? (Assume Nelson’s toes are touching the ground directly below the ball when he catches the ball.)'
Answers
Answer:
a) x = 40 t , y = 39 t , z = 6 + 32 t - 16 t ², b) x = 80 feet , y = 78 feet , the ball came into the field
Explanation:
a) This is a projectile launch exercise, where in the x and y axes there is no acceleration and in the z axis the acceleration of the acceleration of gravity, let's write the equations of motion in each axis
Since the cast is in the center of the field, let's place the coordinate system
x₀ = 0
y₀ = 0
z₀ = 6 feet
x-axis (towards end zone, GOAL zone)
x = xo + v₀ₓ t
x = 40 t
y-axis (field width)
y = y₀ + \(v_{oy}\) t
y = 39 t
z axis (vertical)
z = z₀ + v_{oz} t - ½ g t²
z = 6 + 32 t - ½ 32 t²
z = 6 + 32 t - 16 t ²
b) The player catches the ball at the same height as it came out, so we can find the time it takes to arrive
z = 6
6 = 6 + 32 t - 16 t²
(t - 2)t = 0
t=0 s
t= 2 s
The ball position
x = 40 2
x = 80 feet
y = 39 2
y = 78 feet
the dimensions of the field from the coordinate system (center of the field) are
x_total = 150 feet
y _total = 80 feet
so we can see that the ball came into the field
Related Questions
Sources of error could have come from friction that may result in energy losses during the collision, The gliders may not be perfectly elastic, which means that some energy may be lost during the collision
are these errors random or systematic errors?
Sources of error could have come from small amounts of friction, and glider 2 could have not been totally at rest. These errors are systematic errors.
Are these errors random or systematic?
Answers
Answer:
The first set of errors, which include friction and imperfect elasticity, are systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will be present in every trial of the experiment and will cause a consistent deviation from the true value.
The second set of errors, which include small amounts of friction and the initial velocity of glider 2, are also systematic errors because they arise from consistent factors that affect the measurements in a predictable way. These errors will also be present in every trial of the experiment and will cause a consistent deviation from the true value.
Explanation:
PLEASE HELP please put you own deffinitions down
Answers
Answer:
prototype - a first model of something
obsolete - out of date
Unintended Consequence - outcomes of actions that weren't predicted and intended
Feedback - reactions to something from someone like a customer
the law conservation of____ states that matter can not be created or destroyed on changed from one to another
Answers
Answer:
energy
Explanation:
Energy can't be destroyed or created, just transferred.
the car has mass of 1000kg. Calculate the weight of the car the car is parked on a muddy field and wheels of the car are sinking into the mud . Explain why and how to prevent it
Answers
Answer:
Explanation:
Weight
The weight of the car is F = m * a. Since it is parked, the car feels the full force of m*g where g is 9.81, the gravitational constant.
Weight = 1000kg * 9.81
Mud
Mud is not a pure solid. It is diluted by a certain amount of water. The amount of water depends entirely on the nature of the soil containing it.
By diluting the soil and letting it have some liquid properties, mud can be moved around. That's why the car sinks. There is enough liquid to transport the soil away from the tire, and so the tires sink.
Prevention
I know this is not the answer, but it is what you should do. Don't park where there is mud. Surely there must be some part of the field that is dry.
On the other hand, what you could do is extract some of the water from the dirt. You would need a very clever device to do that. I think this is the physics answer.
You could also park on wide boards to put the force evenly spread out.
what is the lewis structure for number 3,6,7,and 8?
Answers
Answer: Please see the attached image.
Explanation:
A diagram of the Lewis dot structure depicts the valence electrons of the atoms of a molecule. It makes use of dots to represent lone electron pairs and lines to represent atomic bonds.
Valence Electrons are the s and p subshells on the periodic table. You count the total s and p subshells of the corresponding atom to find how much valence electrons it has.
How much impulse is imparted on a 0.14 kg baseball initially traveling at 32 m/s when it is struck by a baseball bat and begins to travel in the opposite direction at 49 m/s
Answers
ANSWER AND EXPLAINATION:
To calculate the impulse imparted on the baseball, we can use the impulse-momentum principle, which states that the impulse experienced by an object is equal to the change in momentum of the object. Mathematically, it can be expressed as:
Impulse = Change in momentum
The momentum of an object is given by the product of its mass and velocity:
Momentum = mass × velocity
In this case, the baseball has an initial mass of 0.14 kg and an initial velocity of 32 m/s. After being struck by the bat, it travels in the opposite direction at a velocity of 49 m/s.
Therefore, the change in momentum is given by:
Change in momentum = (mass × final velocity) - (mass × initial velocity)
Change in momentum = mass × (final velocity - initial velocity)
Change in momentum = 0.14 kg × (49 m/s - (-32 m/s))
Change in momentum = 0.14 kg × (49 m/s + 32 m/s)
Change in momentum = 0.14 kg × 81 m/s
Change in momentum = 11.34 kg·m/s
So, the impulse imparted on the baseball is 11.34 kg·m/s.
Color is a result of the absorption and reflection of light. A shirt appears a color because it reflects that color of light. A shirt appears black when it absorbs all wavelengths of light.
Why does a shirt appear white outside on a sunny day?
O The light is transmitted through the shirt, so no color
wavelengths of light.
appears.
O The shirt absorbs the sunlight, so it appears white.
O All the light is reflected, so the shirt appears white.
The sunlight refracts when it hits the shirt, so the shirt
appears white.
Answers
Answer:
the light is reflected, because light is white when the spectrum is combined, and white reflects white. that's why wearing a white shirt outside feels cooler than wearing a black shirt, since it doesn't absorb light.
Answer:
All the light is reflected, so the shirt appears white.
Explanation:
Blocks A and B of masses m and 2m, respectively, are connected by a light string and are pulled along a horizontal surface of negligible friction by a horizontal force of magnitude F, as shown in the figure. The tension in the string is T. If the masses of the blocks are doubled, and the magnitude of the horizontal force remains the same, the tension in the string will be:
a) 1/4T
b) 1/2T
c) T
d) 2T
e) 4T
Answers
When the masses of the blocks are doubled and the force applied is constant, the tension in the string will be the same.
The given parameters:
Mass of block A = mMass of block B = 2mApplied horizontal force, = FTension in the string, = TThe acceleration of the blocks is calculated as follows;
\(a = \frac{F}{m + 2m} \\\\a = \frac{F}{3m}\)
The tension in the string is calculated as follows;
\(T = ma\\\\T = m(\frac{F}{3m)}\\\\T= \frac{F}{3}\)
When the masses of the blocks are doubled and the force applied is constant;
\(a = \frac{F}{2m + 4m} \\\\a = \frac{F}{6m}\)
The new tension in the string is calculated as follows;
\(T_2 = ma\\\\T_2 = (2m) (\frac{F}{6m} )\\\\T_2 = \frac{F}{3} = T\)
Thus, when the masses of the blocks are doubled and the force applied is constant, the tension in the string will be the same.
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Ms. Reitman's scooter starts from rest and the final velocity is
14 m/s in 7 seconds. What is the average acceleration?
Answers
Answer:
2 m/s 2
Explanation: Just is....
What is the relationship between mass and
potential energy?
Answers
How can you determine the number of neutrons in an atom?
A. Mass number plus number of electrons
B. Atomic number minus mass number
C. Mass number minus atomic number
D. Atomic number plus mass number
Answers
Answer:
B. Atomic number minus mass number
Explanation:
Reuptake refers to the...
a. release of hormones into the bloodstream.
b. reabsorption of excess neurotransmitter molecules by a sending neuron.
c. movement of neurotransmitter molecules across a synaptic gap.
d. inflow of positively charged ions through an axon membrane.
Answers
Reuptake refers to the REABSORPTION of excess neurotransmitter molecules by a sending neuron (Option b).
Reuptake is the mechanism by which cells reabsorb chemical messengers produced and secreted by them. In nerve terminals, reuptake is used to reabsorb released neurotransmitters.
The reuptake mechanism is exploited in therapeutics for the development of target drugs and treatments.
Serotonin is a neurotransmitter that acts to stabilize different emotions such as mood, feelings of well-being, appetite and happiness.
For example, serotonin reuptake inhibitors which are capable of blocking the reuptake of serotonin to modulate serotonin brain levels have recently been developed.
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Explaining How Temperature
Does sound travel faster in a warm room or a cold room?
Explain your answer.
Intro
Do
Answers
Answer:
Explanation:
Sample Response: Sound travels faster in a warm room because temperature affects the speed of a wave. In a warm room, the particles of air move faster and have higher chances of bumping into each other, which then increases the instances of energy transfer.
Which temperature is warmer than the freezing point of water?
O A. OK
O B. 33K
O C. 1°C
O D.O°F
Answers
The freezing point and melting point is 0 Degrees or 32 Degrees Fahrenheit
Answer:
C 1 degree
Explanation:
BRAINLIEST
Which statement is an assumption that is made about science?
Science is absolute.
The purpose of science is to advance technology.
The universe cannot be understood with certainty.
Science is democratic.
Answers
Answer: The purpose of science is to advance technology.
Explanation: My explanation is that science advances things, Such as science made it able to have Siri sand honestly creates what we are using now to type.
The statement "the universe cannot be understood with certainty" is an assumption that is made about science option (C) is correct.
What is science?Science is a rigorous process of acquiring and analyzing information about the earth in the form of testable understandings.
It is given that:
The statements are:
Science is absolute.The purpose of science is to advance technology.The universe cannot be understood with certainty.Science is democratic.As we know; from the definition of science; the rigorous process of acquiring and analyzing information about the earth in the form of testable understandings.
The assumption made about science is the universe cannot be understood with certainty.
Thus, the statement "the universe cannot be understood with certainty" is an assumption that is made about science option (C) is correct.
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A 2 m long wire carrying 2 A of current pointing to the right is placed in a magnetic field of 4 T directed away from you. Which direction does the force on the wire point?
A. Down
B. Up
C. Left
D. Right
Answers
Explanation:
To determine the direction of the force on the wire, we can use the right-hand rule for the cross product of two vectors. The force on the wire is given by:F = I * L x Bwhere I is the current, L is the length of the wire, and B is the magnetic field.
If we point our right-hand thumb in the direction of the current (to the right), and our fingers in the direction of the magnetic field (away from us), then our palm will point in the direction of the force.
So, using the right-hand rule, we can see that the force on the wire will be directed downward. Therefore, the correct answer is A. Down.Universal Gravitational Concepts and Mathematics
10 of 16
POSSIBLE POINTS: 6.25
A 35 kg object is on the surface of Venus. Venus has a mass of 4.87x10^24 kg and a radius of 6.05x10^6
m. What is the weight of the object on Venus?
35 N
35 kg
0 343 kg
311 N
5
6
7
8
9
10 11 12 13 14
Next
Answers
First of all, weight is a force typically measured in Newtons. So right away, you can eliminate 35 kg and 343 kg from the given choices.
The object's weight F on Venus as given by the universal law of gravitation is
F = G (35 kg) (4.87 x 10²⁴ kg) / (6.05 x 10⁶ m)²
where G = 6.67 x 10⁻¹¹ N•m²/kg² is the gravitational constant. You would find the weight of the object to be
F ≈ 310.8 N
so the closest answer is 311 N.
A car accelerates from rest at 2 m/s2. After 6 seconds, what is the speed of the car?
Answers
Answer:
Vf = 12 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
\(v_{f}=v_{o}+a*t\\\)
where:
Vf = final velocity [m/s]
Vo = initial velocity = 0 (stars from the rest)
a = acceleration = 2 [m/s²]
t = time = 6 [s]
Now replacing:
\(v_{f}=0+2*6\\v_{f}=12[m/s]\)
You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?
A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.
Answers
Answer:
C) The book's inertia carried it forward.
When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.
Imagine that you have three circuit elements: a single bulb, a piece of wire, and a battery. You start by keeping these three elements separate and unconnected. You use a voltmeter to measure the voltage across each of the three elements. Then, you connect the bulb, wire, and battery together to form a complete circuit, so that the bulb lights up. You repeat the measurements you made before, using the voltmeter to measure the voltage across each element while it is in the complete circuit. For the questions below, assume that the battery and the wire are ideal.
a. Compare the voltage across the battery: a) when the battery is by itself vs b) when the battery is part of the complete circuit. Is the voltage across the battery different in these two situations, or is the voltage the same? Explain your answer.
b. Compare the voltage across the bulb: a) when the bulb is by itself vs b) when the bulb is part of the complete circuit. Is the voltage across the bulb different in these two situations, or is it the same? Explain.
c. Now compare the voltage across the piece of wire: a) when the wire is by itself vs b) when the wire is part of the complete circuit. Is the voltage across the piece of wire different in these two situations, or is it the same? Explain your answer.
d. Now consider only the situation in which the battery, wire, and bulb have been arranged to form a complete circuit in which the bulb lights up. For this situation, rank i) the voltage across the battery, ii) the voltage across the bulb, and iii) the voltage across the piece of wire, according to their absolute values, from greatest to smallest. If any are the same, or if any are zero, state that explicitly. Explain your reasoning.
Answers
Answer:
A) two voltages are equal, B) the two voltages are different
C) voltage is the same V = 0, D) V_{battery} = V_{Lamp} > V_{wire}
Explanation:
For this exercise, it is asked to build a circuit with the plug, the lamp and the battery, the circuit must be a series circuit
Before connecting the battery voltage is Vo as they indicate that it is ideal there are no losses, the voltages of the other elements are zero.
A) Voltages battery
a) single battery Vo
b) the battery is connected to the lamp this takes something current, but the electromotive force does not change therefore the voltage is Vo; This is because the battery's energy comes from a chemical reaction of the elements inside it.
in summary the two voltages are equal
B) voltage Lamp
a) when the bulb is single, its voltage is zero V = 0
since it has no energy
b) when in the circuit V = V₀ - V_r
where V_r is the voltage across the wire, due to its resistance, the energy for these voltages is given by the battery
in this case the two voltages are different
C) the voltage across the wire
a) unconnected V = 0
b) connected V = V₀ - V_L
where V_L is the voltage across the lamp due to its resistance
we can write the wire voltage
V_r = i R
as they indicate that the wire is ideal, its resistance is zero R = 0, consequently
V_r = 0
the voltage is the same V = 0
D) circuit voltage
For this part we must write Ohm's law for this circuit
V₀ = V_L + V_r
where V₀ is the battery voltage, V_L and V_r are the voltage of the lamp and the wire, respectively.
The voltage of each element is
V_L = i R_L
V_r = i R
This is a series circuit so the current is also constant
V₀ = i (R_L + R)
therefore the voltage in the battery is the highest V₀
the voltage across the wire if it is ideal is zero V_r = 0, if it is ideal its resistance is zero
therefore the voltage on the lamp is equal to the voltage of the battery
V_{battery} = V_{Lamp} > V_{wire}
pls help in astronomy didn’t know what subject to put it under
Answers
The subject depicted in the attached image is Astronomy and Astrophysics.
Definitely younger than the SunAO main sequence starB-type starsF-type stars (some)Possibly younger than the SunF1 main sequence starG2 main sequence starMO main sequence starDefinitely older than the SunM-type stars (some)M1, 1 Msun red giantM1, 18 Msun red supergiantWhat is Astronomy?Astronomy is the scientific study of celestial objects such as stars, planets, galaxies, and other phenomena that exist outside of Earth's atmosphere.
Astronomers use a variety of methods to observe and study these objects, including telescopes, spacecraft, and computer simulations.
Astronomy is a broad field that includes many different sub-disciplines, such as astrophysics, planetary science, and cosmology.
Astronomers study the physical properties and behavior of celestial objects, such as their composition, temperature, motion, and evolution.
They also seek to understand the structure and history of the universe as a whole.
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A student submits the following work on reference frames and centripetal force, but she has made a few mistakes. Select all sentences that contain mistakes. All non-inertial reference frames exhibit “fictitious forces.” One of these fictitious forces is the centripetal force. For example, consider a car moving in a straight line. When the car turns to the right, the passengers experience a “force” to the right. However, there is no actual force applied. The passenger is merely continuing in a straight direction. When the car is turning, the reference frame of the car is an inertial reference frame. Hence, the passenger experiences this fictitious force, even though there is no actual force there.
Answers
Answer:
"However, there is no actual force applied."
"The passenger is merely continuing in a straight direction."
Explanation:
Am AP Phys student
How do I describe the movement of a student walking at fore say 10 M/S on a velocity time graph from 5-10s? So like starting at 5 seconds to 15 seconds the student is at 10 meters and stays there until after 15 seconds. how do i describe that? How far did the student walk? Please answer
Answers
It means The student walked for 5s with a velocity of 10m/s
Distance=Velocity(Time)
\(\\ \rm\longmapsto Distance=10(5)\)
\(\\ \rm\longmapsto Distance=50m\)
Answer:
\(\sf\longmapsto \: 50 \: metres\)
Explanation:
Given,
Velocity is 10m/s
Let us find the time:
\(\sf\longmapsto \: 10 - 5\)
\(\sf\longmapsto \: 5 \: seconds\)
Now,We know that Distance = Velocity × Time
\(\sf\longmapsto \: 10 \times 5\)
\(\sf\longmapsto \: 50 \:metres\)
true or false: the height from which cliff divers jump affects the velocity at which they will fall. velocity is speed in a certain direction.
Answers
Answer:
False
Explanation:
Because that is not true
(b)
The total power input to the leaf blower is 750 W.
The useful power output of the leaf blower is 360 W.
Calculate the efficiency of the leat blower.
Answers
% Eff = (360/750)x 100
% Eff = 48
The efficiency is 48%
The efficiency of the leaf blow is 48%.
How can we find the efficiency of the leaf blower?E = m×c×ФHere, E = Energy transferred
m = Mass
Ф = Temperature change
efficiency = (Useful energy out / Total energy in ) × 100efficiency = (Useful power out / Total power in ) × 100E = P × tHere, E = Energy transferred
P = Power
t = time
v = f ×∧Here, v = speed
f = frequency
∧ = wavelength
Substitute into the time equation,Efficiency = (Useful power out / Total power in ) = 360/750 = 0.48
Convert it to percentage = 0.48 × 100 = 48%So, the efficiency of the leaf blower is 48%.
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who is a meterologist?
Answers
Answer:
A meteorologist is a scientist who studies weather Explanation:
A meterologist is a scientist who studies the weather condition of an environment.
WHO IS A METEROLOGIST?A meteorologist is a scientist that specifies in the act of understanding and forecasting the atmospheric condition or weather of the Earth surface.
The branch of science that studies weather is called meteorology and a meterologist uses several techniques and tools to explain weather.
Therefore, a meterologist is a scientist who studies the weather condition of an environment.
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In hiking, what fitness component is required of you
Answers
What is a major criticism of Maslow's hierarchy of needs? Select one: a. It is subjective. b. It does not take gender differences into account. c. It is humanistic. d. It only accounts for the objective world.
Answers
The correct answer is A. It is subjective
Explanation:
In 1943, the recognized psychologist Abraham Maslow proposed a theory to understand and classify human needs. The work of Maslow included five different categories to classify all basic needs, psychological needs, and self-esteem needs; additionally, in this, Maslow proposed individuals need to satisfy the needs of previous levels to satisfy more complex needs. For example, the first level includes physiological needs such as hunger and these are necessary to get to more complex needs such as the need for safety or self-satisfaction.
This hierarchy is still used all around the world to understand human needs; however, it was been widely criticized because the classification itself is related to Maslow's perspective as this was mainly based on Maslow's ideas about needs, which makes the hierarchy subjective. Also, due to its subjectivity, the hierarchy may apply only in some individuals or societies.
You check in at the airport and have your luggage weighed. It comes to 25kg. The airport is at sea level and you take off and climb to 30,000 ft. How much less does your luggage now weigh?
mass of earth = 5.98 × 10 ^24
radius of earth = 6.37 × 10^ 6
Answers
Answer:
0.705 kg less
Explanation:
Altitude at sea level = 0 ft
Altitude after climbing = 30,000 ft = 30,000 x 0.3048 = 9,144 m
Weight = W = mg
Change in weight = ΔW = (M-luggage) × (g-sea level - g-altitude)
g at sea level:
g1 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth)²
g at altitude of 30,000 ft:
g2 = (Gravitational constant × Mass of the Earth) / (Radius of the Earth + Altitude)²
Gravitational constant = 6.674 × 10^-11 m^3 kg^-1 s^-2
g1 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6)^2
g1 ≈ 9.8358 m/s^2
g2 = (6.674 × 10^-11 × 5.98 × 10^24) / (6.37 × 10^6 + 9,144)^2
g2 ≈ 9.8076 m/s^2
ΔW = (M-luggage) × (g1 - g2)
= 25 kg × (9.8358 - 9.8076)
≈ 0.705 kg
Therefore, your luggage would weigh approximately 0.705 kg less when you climb to 30,000 ft compared to its weight at the airport.
Can't guarantee this is right, but I checked the numbers a few times and this is the best I can do!
if an input of 100 j in pulley system increases potential energy of load 60 J, what efficency of the system?
Answers
Answer:
Efficiency of the system = 100%
Explanation:
Given:
Input energy = 100 J
Potential energy load = 60 J
Find:
Efficiency of the system
Computation:
Efficiency of the system = [Potential energy load/Input energy]100
Efficiency of the system = [60/100]100
Efficiency of the system = 100%