Question 1

A ball is thrown vertically upwards at 19.0 m/s.For its complete trip (up and back down to the starting position),its average velocity is:

Accepted Answer

A) 19.0 m/s. 
B) 9.5 m/s. 
C) 4.8 m/s. 
D) ​14.3 m/s 
E) ​not given. 
A) 19.0 m/s. 
B) 9.5 m/s. 
C) 4.8 m/s. 
D) ​14.3 m/s 
E) ​not given.

Question 2

Maria throws two stones from the top edge of a building with a speed of 22 m/s.She throws one straight down and the other straight up.The first one hits the street in a time t1.How much later is it before the second stone hits?

Accepted Answer

A) 5.5 s 
B) 4.5 s 
C) 3.5 s 
D) ​6.5 s 
E) ​Not enough information is given to work this problem. 
A) 5.5 s 
B) 4.5 s 
C) 3.5 s 
D) ​6.5 s 
E) ​Not enough information is given to work this problem.

Question 3

A water rocket,launched from the ground,rises vertically with acceleration of 25 m/s2 for 2.0 s when it runs out of "fuel." Disregarding air resistance,how high will the rocket rise?

Accepted Answer

A) 305 m 
B) 356 m 
C) 178 m 
D) 130 m 
E) ​50 m 
A) 305 m 
B) 356 m 
C) 178 m 
D) 130 m 
E) ​50 m

Question 4

When a drag strip vehicle reaches a velocity of 65.0 m/s,it begins a negative acceleration by releasing a drag chute and applying its brakes.While reducing its velocity back to zero,its acceleration along a straight-line path is a constant −7.10 m/s2.What displacement does it undergo during this deceleration period?

Accepted Answer

A) 595 m 
B) 4.58 m 
C) 2 110 m 
D) 298 m 
E) ​9.15 m 
A) 595 m 
B) 4.58 m 
C) 2 110 m 
D) 298 m 
E) ​9.15 m

Question 5

If the displacement of an object is given in SI units by Δx = −3t + 4t 2,at t = 2 s its velocity and acceleration are,respectively:

Accepted Answer

A) positive,positive. 
B) positive,negative. 
C) negative,negative. 
D) negative,positive. 
A) positive,positive. 
B) positive,negative. 
C) negative,negative. 
D) negative,positive.

Question 6

An x vs.t graph is drawn for a ball moving in one direction.The graph starts at the origin and at t = 5 s the velocity of the ball is zero.We can be positive that at t = 5 s,

Accepted Answer

A) the slope of the curve is non-zero. 
B) the ball has stopped. 
C) the acceleration is constant. 
D) the curve is at x = 0,t = 0. 
A) the slope of the curve is non-zero. 
B) the ball has stopped. 
C) the acceleration is constant. 
D) the curve is at x = 0,t = 0.

Question 7

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration,x is distance,and t is time)

Accepted Answer

A) v/t2 
B) vx2 
C) v2/t 
D) at 
A) v/t2 
B) vx2 
C) v2/t 
D) at

Question 8

Starting from rest,a car accelerates down a straight road with constant acceleration a1 for a time t1,then the acceleration is changed to a different constant value a2 for an additional time t2.The total elapsed time is t1 + t2.Can the equations of kinematics be used to find the total distance traveled?

Accepted Answer

A) No,because this is not a case of constant acceleration. 
B) Yes,use (a1 + a2)/2 as the average acceleration and the total time in the calculation. 
C) Yes,use a1 + a2 as the acceleration and the average time (t1 + t2)/2 in the calculation. 
D) Yes,break the problem up into 2 problems,one with the conditions for the first time interval and the other with the conditions for the second time interval,noting that for the second time interval the initial velocity is that from the end of the first time interval.When done,add the distances from each of the time intervals. 
A) No,because this is not a case of constant acceleration. 
B) Yes,use (a1 + a2)/2 as the average acceleration and the total time in the calculation. 
C) Yes,use a1 + a2 as the acceleration and the average time (t1 + t2)/2 in the calculation. 
D) Yes,break the problem up into 2 problems,one with the conditions for the first time interval and the other with the conditions for the second time interval,noting that for the second time interval the initial velocity is that from the end of the first time interval.When done,add the distances from each of the time intervals.

Question 9

A ball of relatively low density is thrown upwards.Because of air resistance the acceleration while traveling upwards is −10.8 m/s2.On its trip downward the resistance is in the opposite direction,and the resulting acceleration is −8.8 m/s2.When the ball reaches the level from which it was thrown,how does its speed compare to that with which it was thrown?

Accepted Answer

A) It is greater than the original speed upward. 
B) It is the same as the original speed upward. 
C) It is less than the original speed upward. 
D) Without knowing the original speed,this problem cannot be solved. 
A) It is greater than the original speed upward. 
B) It is the same as the original speed upward. 
C) It is less than the original speed upward. 
D) Without knowing the original speed,this problem cannot be solved.

Question 10

A rock is thrown straight up with an initial velocity of 25.0 m/s.What maximum height will the rock reach before starting to fall downward? (Take acceleration due to gravity as 9.80 m/s2. )​

Accepted Answer

A) 39.9 m 
B) 15.9 m 
C) 63.8 m 
D) 31.9 m 
E) ​47.8 m 
A) 39.9 m 
B) 15.9 m 
C) 63.8 m 
D) 31.9 m 
E) ​47.8 m

Question 11

Jeff throws a ball straight up.For which situation is the vertical velocity zero?

Accepted Answer

A) on the way up 
B) at the top 
C) on the way back down 
D) none of the above 
A) on the way up 
B) at the top 
C) on the way back down 
D) none of the above

Question 12

​An object moves along the x axis,with its position given by the function x(t)= ½ t3.Which of the following can be obtained from a graph of x vs.t?

Accepted Answer

A) ​The velocity of the object at any instant in time 
B) ​The displacement of the object during a specified time interval 
C) ​The speed of the particle at any instant in time 
D) ​The average velocity of the object during as specified time interval 
E) ​All of the above 
A) ​The velocity of the object at any instant in time 
B) ​The displacement of the object during a specified time interval 
C) ​The speed of the particle at any instant in time 
D) ​The average velocity of the object during as specified time interval 
E) ​All of the above

Question 13

Omar throws a rock down with speed 12.5 m/s from the top of a tower.The rock hits the ground after 1.50 s.What is the height of the tower? (air resistance is negligible)​

Accepted Answer

A) 24.0 m 
B) 21.0 m 
C) 30.0 m 
D) 54.0 m 
E) ​45.0 m 
A) 24.0 m 
B) 21.0 m 
C) 30.0 m 
D) 54.0 m 
E) ​45.0 m

Question 14

A car is moving along a straight highway and accelerates at a constant rate while going from point A to point B.If the acceleration is positive,increasing the speed of the car,where does the position where the instantaneous speed equals the average speed occur for the interval from A to B?

Accepted Answer

A) midway between A and B 
B) closer to A than to B 
C) closer to B than to A 
D) Any of the answers could be correct depending on the original speed. 
A) midway between A and B 
B) closer to A than to B 
C) closer to B than to A 
D) Any of the answers could be correct depending on the original speed.

Question 15

A ball rolls down an incline,starting from rest.If the total time it takes to reach the end of the incline is T,how much time has elapsed when it is halfway down the incline?

Accepted Answer

A) 0.5 T 
B)  0.5 T 
D) More information is needed. 
A) 0.5 T 
B)  0.5 T 
D) More information is needed.

Question 16

A ball is thrown vertically upwards at 24.5 m/s.For its complete trip (up and back down to the starting position),its average speed is​

Accepted Answer

A) 18.4 m/s. 
B) 12.3 m/s. 
C) 24.5 m/s. 
D) ​6.1 m/s. 
E) ​not given. 
A) 18.4 m/s. 
B) 12.3 m/s. 
C) 24.5 m/s. 
D) ​6.1 m/s. 
E) ​not given.

Question 17

A rock is thrown straight down with an initial velocity of 14.3 m/s from a cliff.What is the rock's displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s2. )

Accepted Answer

A) 81 m 
B) 48 m 
C) 38 m 
D) 22 m 
E) 31 m 
A) 81 m 
B) 48 m 
C) 38 m 
D) 22 m 
E) 31 m

Question 18

John throws a rock down with speed 11 m/s from the top of a 25-m tower.If g = 9.8 m/s2 and air resistance is negligible,what is the rock's speed just as it hits the ground?

Accepted Answer

A) 19 m/s 
B) 25 m/s 
C) 610 m/s 
D) 22 m/s 
E) ​12 m/s 
A) 19 m/s 
B) 25 m/s 
C) 610 m/s 
D) 22 m/s 
E) ​12 m/s

Question 19

Changing the positive direction in a reference frame to the opposite direction does not change the sign of which of the following quantities?

Accepted Answer

A) velocity 
B) average velocity 
C) speed 
D) displacement 
A) velocity 
B) average velocity 
C) speed 
D) displacement

Question 20

A strobe photograph of a car moving along a straight road shows the interval between each successive image to be diminishing.If the direction of motion of the car is taken as positive,which of the following is/are negative?

Accepted Answer

A) the speed of the car 
B) the average velocity of the car 
C) the average acceleration of the car 
D) all of the above 
A) the speed of the car 
B) the average velocity of the car 
C) the average acceleration of the car 
D) all of the above

Exam 2: Motion in One Dimension

A ball is thrown vertically upwards at 19.0 m/s.For its complete trip (up and back down to the starting position),its average velocity is:

Maria throws two stones from the top edge of a building with a speed of 22 m/s.She throws one straight down and the other straight up.The first one hits the street in a time t1.How much later is it before the second stone hits?

A water rocket,launched from the ground,rises vertically with acceleration of 25 m/s2 for 2.0 s when it runs out of "fuel." Disregarding air resistance,how high will the rocket rise?

If the displacement of an object is given in SI units by Δx = −3t + 4t 2,at t = 2 s its velocity and acceleration are,respectively:

An x vs.t graph is drawn for a ball moving in one direction.The graph starts at the origin and at t = 5 s the velocity of the ball is zero.We can be positive that at t = 5 s,

Which formula is dimensionally consistent with an expression yielding a value for velocity? (a is acceleration,x is distance,and t is time)

A rock is thrown straight up with an initial velocity of 25.0 m/s.What maximum height will the rock reach before starting to fall downward? (Take acceleration due to gravity as 9.80 m/s2. )​

Jeff throws a ball straight up.For which situation is the vertical velocity zero?

​An object moves along the x axis,with its position given by the function x(t)= ½ t3.Which of the following can be obtained from a graph of x vs.t?

Omar throws a rock down with speed 12.5 m/s from the top of a tower.The rock hits the ground after 1.50 s.What is the height of the tower? (air resistance is negligible)​

A car is moving along a straight highway and accelerates at a constant rate while going from point A to point B.If the acceleration is positive,increasing the speed of the car,where does the position where the instantaneous speed equals the average speed occur for the interval from A to B?

A ball rolls down an incline,starting from rest.If the total time it takes to reach the end of the incline is T,how much time has elapsed when it is halfway down the incline?

A ball is thrown vertically upwards at 24.5 m/s.For its complete trip (up and back down to the starting position),its average speed is​

A rock is thrown straight down with an initial velocity of 14.3 m/s from a cliff.What is the rock's displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s2. )

John throws a rock down with speed 11 m/s from the top of a 25-m tower.If g = 9.8 m/s2 and air resistance is negligible,what is the rock's speed just as it hits the ground?

Changing the positive direction in a reference frame to the opposite direction does not change the sign of which of the following quantities?

A strobe photograph of a car moving along a straight road shows the interval between each successive image to be diminishing.If the direction of motion of the car is taken as positive,which of the following is/are negative?

Units, Trigonometry, and Vectors

Motion in Two Dimensions

Newtons Laws of Motion

Energy

Momentum, Impulse, and Collisions

Rotational Motion and Gravitation

Rotational Equilibrium and Dynamics

Fluids and Solids

Thermal Physics

Energy in Thermal Processes

The Laws of Thermodynamics

Vibrations and Waves

Sound

Electric Forces and Fields

Electrical Energy and Capacitance

Current and Resistance

Direct-Current Circuits

Magnetism

Induced Voltages and Inductance

Alternating-Current Circuits and Electromagnetic Waves

Reflection and Refraction of Light

Mirrors and Lenses

Wave Optics

Optical Instruments

Relativity

Quantum Physics

Atomic Physics

Nuclear Physics

Nuclear Energy and Elementary Particles

Filters

Maria throws two stones from the top edge of a building with a speed of 22 m/s.She throws one straight down and the other straight up.The first one hits the street in a time t₁.How much later is it before the second stone hits?

A water rocket,launched from the ground,rises vertically with acceleration of 25 m/s² for 2.0 s when it runs out of "fuel." Disregarding air resistance,how high will the rocket rise?

If the displacement of an object is given in SI units by Δx = −3t + 4t ²,at t = 2 s its velocity and acceleration are,respectively:

A rock is thrown straight up with an initial velocity of 25.0 m/s.What maximum height will the rock reach before starting to fall downward? (Take acceleration due to gravity as 9.80 m/s². )

An object moves along the x axis,with its position given by the function x(t)= ½ t³.Which of the following can be obtained from a graph of x vs.t?

Omar throws a rock down with speed 12.5 m/s from the top of a tower.The rock hits the ground after 1.50 s.What is the height of the tower? (air resistance is negligible)

A ball is thrown vertically upwards at 24.5 m/s.For its complete trip (up and back down to the starting position),its average speed is

A rock is thrown straight down with an initial velocity of 14.3 m/s from a cliff.What is the rock's displacement after 2.0 s? (Acceleration due to gravity is 9.80 m/s². )

John throws a rock down with speed 11 m/s from the top of a 25-m tower.If g = 9.8 m/s² and air resistance is negligible,what is the rock's speed just as it hits the ground?