# Mastering Physics 3

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question
the position and velocity of the ball
You throw a ball. Air resistance on the ball is negligible. Which of the following functions change with time as the ball flies through the air? only the position of the ball only the velocity of the ball only the acceleration of the ball the position and velocity of the ball the position and the velocity and acceleration of the ball
question
Either press the gas or the brake pedal or turn the steering wheel.
You are driving a car at 65 mph. You are traveling north along a straight highway. What could you do to give the car a nonzero acceleration? Press the brake pedal. Turn the steering wheel. Either press the gas or the brake pedal. Either press the gas or the brake pedal or turn the steering wheel.
question
the position and velocity and acceleration of the ball
A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at the center of the merry-go-round? the position of the ball only the velocity of the ball only the acceleration of the ball only both the position and velocity of the ball the position and velocity and acceleration of the ball
question
B
Which of the paths would the cannonball most likely follow if the cannon barrel is horizontal? A B C D
question
A constant downward acceleration
Now the cannon is pointed straight up and fired. (This procedure is not recommended!) Under the conditions already stated (drag is to be ignored) which of the following correctly describes the acceleration of the ball? A steadily increasing downward acceleration from the moment the cannonball leaves the cannon barrel until it reaches its highest point A steadily decreasing upward acceleration from the moment the cannonball leaves the cannon barrel until it reaches its highest point A constant upward acceleration A constant downward acceleration
question
downward to the right
Which direction best approximates the direction of a? when the object is at position 1? straight up downward to the left downward to the right straight down
question
straight up
Which direction best approximates the direction of a? when the object is at position 2? straight up upward to the right straight down downward to the left
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straight down
Which direction best approximates the direction of a? when the object is at position 3? upward to the right to the right straight down downward to the right
question
A
What is the direction of the acceleration of the object at moment 5?
question
directions at time step 0, time step 10 = D,F
What is the direction of the acceleration of the object at moments 0 and 10?
question
The acceleration is perpendicular to v? A and directed toward the inside of the track.
Let v? A be the velocity of the car at point A. What can you say about the acceleration of the car at that point? The acceleration is parallel to v? A. The acceleration is perpendicular to v? A and directed toward the inside of the track. The acceleration is perpendicular to v? A and directed toward the outside of the track. The acceleration is neither parallel nor perpendicular to v? A. The acceleration is zero.
question
The acceleration is perpendicular to v? C and pointed toward the inside of the track.
Let v? C be the velocity of the car at point C. What can you say about the acceleration of the car at that point? The acceleration is parallel to v? C. The acceleration is perpendicular to v? C and pointed toward the inside of the track. The acceleration is perpendicular to v? C and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to v? C. The acceleration is zero.
question
The acceleration is perpendicular to v? D and pointed toward the outside of the track.
Let v? D be the velocity of the car at point D. What can you say about the acceleration of the car at that point? The acceleration is parallel to v? D. The acceleration is perpendicular to v? D and pointed toward the inside of the track. The acceleration is perpendicular to v? D and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to v? D. The acceleration is zero.
question
The acceleration is zero
Let v? F be the velocity of the car at point F. What can you say about the acceleration of the car at that point? The acceleration is parallel to v? F. The acceleration is perpendicular to v? F and pointed toward the inside of the track. The acceleration is perpendicular to v? F and pointed toward the outside of the track. The acceleration is neither parallel nor perpendicular to v? F. The acceleration is zero.
question
D, F
Assuming that all cars have equal speeds, which car has the acceleration of the greatest magnitude, and which one has the acceleration of the least magnitude?
question
The magnitude of the acceleration of the car at point A is four times that of the car at point E.
Assume that the car at point A and the one at point E are traveling along circular paths that have the same radius. If the car at point A now moves twice as fast as the car at point E, how is the magnitude of its acceleration related to that of car E. The magnitude of the acceleration of the car at point A is twice that of the car at point E. The magnitude of the acceleration of the car at point A is the same as that of the car at point E. The magnitude of the acceleration of the car at point A is half that of the car at point E. The magnitude of the acceleration of the car at point A is four times that of the car at point E.
question
v0 = v2 > v1 > 0
How do the speeds v0, v1, and v2 (at times t0, t1, and t2) compare? v0 = v1 = v2 > 0 v0 = v2 > v1 = 0 v0 = v2 > v1 > 0 v0 > v1 > v2 > 0 v0 > v2 > v1 = 0
question
15.0, 26.0, 0, -9.80
Consider a diagram of the ball at time t0.(Figure 2) Recall that t0 refers to the instant just after the ball has been launched, so it is still at ground level (x0=y0=0m). However, it is already moving with initial velocity v? 0, whose magnitude is v0=30.0m/s and direction is ?=60.0degrees counterclockwise from the positive x direction. What are the values of the intial velocity vector components v0,x and v0,y (both in m/s) as well as the acceleration vector components a0,x and a0,y (both in m/s2)? Here the subscript 0 means "at time t0."
question
15.0, 0, 0, -9.80
Consider a diagram of the ball at time t0.(Figure 2) Recall that t0 refers to the instant just after the ball has been launched, so it is still at ground level (x0=y0=0m). However, it is already moving with initial velocity v? 0, whose magnitude is v0=30.0m/s and direction is ?=60.0degrees counterclockwise from the positive x direction. What are the values of the velocity vector components v1,x and v1,y (both in m/s) as well as the acceleration vector components a1,x and a1,y (both in m/s2)? Here the subscript 1 means that these are all at time t1.
question
t1?t0 t2?t1 (t2?t0)/2