Question 1

Only one of the following statements is correct.The correct statement is:

Accepted Answer

A) Average velocity is not a vector quantity. 
B) The average velocity can always be expressed as one-half the sum of the initial and final velocities. 
C) An accelerating body always changes its direction of motion. 
D) The instantaneous velocity is equal to the time rate of change of the displacement. 
E) A body undergoing constant acceleration changes its velocity by larger increments in succeeding equal time intervals. 
A) Average velocity is not a vector quantity. 
B) The average velocity can always be expressed as one-half the sum of the initial and final velocities. 
C) An accelerating body always changes its direction of motion. 
D) The instantaneous velocity is equal to the time rate of change of the displacement. 
E) A body undergoing constant acceleration changes its velocity by larger increments in succeeding equal time intervals.

Question 2

An object is moving in a straight line.At t = 0,its speed is 5.0 m/s.From t = 0 to t = 4.0 s,its acceleration is 2.5 m/s2.From t = 4.0 s to t = 11.0 s,its speed is constant.The average speed over the entire time interval is

Accepted Answer

A) 9.5 m/s 
B) 15 m/s 
C) 13 m/s 
D) 21 m/s 
E) 8.2 m/s 
A) 9.5 m/s 
B) 15 m/s 
C) 13 m/s 
D) 21 m/s 
E) 8.2 m/s

Question 3

The distance traveled by a car in the x-direction is shown.When the car changes speed for t = 10 s to 15 s,it does so uniformly.Use the graph below to answer the question.  
-The speed of the car at 5 s is

Accepted Answer

A) 5 m/s 
B) 7.5 m/s 
C) 10 m/s 
D) 12.5 m/s 
E) 15 m/s 
A) 5 m/s 
B) 7.5 m/s 
C) 10 m/s 
D) 12.5 m/s 
E) 15 m/s

Question 4

A river 1.00 mile wide flows with a constant speed of 1.00 mi/h.A man can row a boat at 2.00 mi/h.He crosses the river in a direction that puts him directly across the river from the starting point,and then he returns in a direction that puts him back at the starting point in the shortest time possible.The travel time for the man is

Accepted Answer

A) 2.00 h. 
B) 1.15 h. 
C) 1.00 h. 
D) 1.33 h. 
E) 0.67 h. 
A) 2.00 h. 
B) 1.15 h. 
C) 1.00 h. 
D) 1.33 h. 
E) 0.67 h.

Question 5

The change in displacement for a given time interval can be interpreted as

Accepted Answer

A) the area under the x-versus-t curve for that interval. 
B) the area under the a-versus-t curve for that interval. 
C) the slope of the v-versus-t curve. 
D) the area under the v-versus-t curve for that interval. 
E) the slope of the a-versus-t curve. 
A) the area under the x-versus-t curve for that interval. 
B) the area under the a-versus-t curve for that interval. 
C) the slope of the v-versus-t curve. 
D) the area under the v-versus-t curve for that interval. 
E) the slope of the a-versus-t curve.

Question 6

For this problem,refer to the figure in problem 31.Which interval has the highest magnitude in acceleration?

Accepted Answer

A) a-b 
B) b-c 
C) c-d 
D) d-e 
E) they have equal acceleration 
A) a-b 
B) b-c 
C) c-d 
D) d-e 
E) they have equal acceleration

Question 7

An object is dropped from rest near the surface of Earth.If the time interval during which it falls is cut in half,the distance it falls will

Accepted Answer

A) double. 
B) decrease by one-half. 
C) increase by a factor of four. 
D) decrease by a factor of four. 
E) not change. 
A) double. 
B) decrease by one-half. 
C) increase by a factor of four. 
D) decrease by a factor of four. 
E) not change.

Question 8

A Ford truck enters a highway and travels at a uniform speed of 50 mph.Half an hour later a Jaguar enters the highway at the same junction and heads in the same direction at 55 mph.How long after the Ford entered the highway does the Jaguar catch up with the truck?

Accepted Answer

A) 5.0 hrs 
B) 6.0 hrs 
C) 1.0 hrs 
D) 1.6 hrs 
E) 5.5 hrs 
A) 5.0 hrs 
B) 6.0 hrs 
C) 1.0 hrs 
D) 1.6 hrs 
E) 5.5 hrs

Question 9

A particle that is moving along a straight line decelerates uniformly from 40 cm/s to 20 cm/s in 5.0 s and then has a constant acceleration of 20 cm/s2 during the next 4.0 s.The average speed over the whole time interval is

Accepted Answer

A) 57 cm/s 
B) 140 cm/s 
C) 86 cm/s 
D) 43 cm/s 
E) 97 cm/s 
A) 57 cm/s 
B) 140 cm/s 
C) 86 cm/s 
D) 43 cm/s 
E) 97 cm/s

Question 10

An object is at x = -3 m and has a velocity of - 4 m/s.It is observed to be slowing down.Its acceleration is

Accepted Answer

A) positive. 
B) negative. 
C) zero. 
D) negative until the object stops and then positive. 
E) impossible to determine based on the information provided. 
A) positive. 
B) negative. 
C) zero. 
D) negative until the object stops and then positive. 
E) impossible to determine based on the information provided.

Question 11

The acceleration of a vehicle is given by a(t)= At where A is a constant.Its displacement as a function of time is (vo and xo are constants)

Accepted Answer

A) x(t)= At2 + vot + xo 
B)       
C) x(t)= At3 + vot + xo 
D)       
E)       
A) x(t)= At2 + vot + xo 
B)       
C) x(t)= At3 + vot + xo 
D)       
E)

Question 12

An airplane flies 600 miles with a tail wind in 2.0 hrs.If it takes 2.5 hrs to cover the same distance against the headwind,then what is the speed of the plane in still air?

Accepted Answer

A) 270 mph 
B) 300 mph 
C) 240 mph 
D) 330 mph 
E) 250 mph 
A) 270 mph 
B) 300 mph 
C) 240 mph 
D) 330 mph 
E) 250 mph

Question 13

Use the following to answer the question:  
-In which graph does the particle have a constant acceleration for the entire 5 s?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 14

A Triumph sports car starts at rest and accelerates uniformly to a speed of 27.0 m/s in 11.8 s.Calculate the distance the car travels during this time interval.

Accepted Answer

A) 160 m 
B) 320 m 
C) 1.90 km 
D) 640 m 
E) 350 m 
A) 160 m 
B) 320 m 
C) 1.90 km 
D) 640 m 
E) 350 m

Question 15

An object is at x = -3 m and has a velocity of 4 m/s.It is observed to be slowing down.Its acceleration is

Accepted Answer

A) positive. 
B) negative. 
C) zero. 
D) negative until the object stops and then positive. 
E) impossible to determine based on the information provided. 
A) positive. 
B) negative. 
C) zero. 
D) negative until the object stops and then positive. 
E) impossible to determine based on the information provided.

Question 16

Use the following to answer the question:  
-Which graph of v versus t best describes the motion of a particle whose velocity is constant and negative?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 17

A car accelerates uniformly from rest to a speed of 20 m/s at the end of 1 min; it then accelerates uniformly to a speed of 40 m/s at the end of the next minute.During this 2-min period,the average speed of the car is

Accepted Answer

A) 7.5 m/s 
B) 30 m/s 
C) 15 m/s 
D) 20 m/s 
E) 40 m/s 
A) 7.5 m/s 
B) 30 m/s 
C) 15 m/s 
D) 20 m/s 
E) 40 m/s

Question 18

Use the following to answer the question:  
-Which graph of v versus t best describes the motion of a particle with positive velocity and negative acceleration?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 19

Use the following to answer the question:  
-In which graph of v versus t does the particle end up closest to its starting point?

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
E) 5 
A) 1 
B) 2 
C) 3 
D) 4 
E) 5

Question 20

A river 1.00 mile wide flows with a constant speed of 1.00 mi/h.A woman leaves from a point on the river bank.The woman rows a boat 1.00 mi directly upstream and returns to the starting point.Her speed in still water is 2.00 mi/h.The travel time for the woman is

Accepted Answer

A) 2.00 h. 
B) 1.15 h. 
C) 1.00 h. 
D) 1.33 h. 
E) 0.67 h. 
A) 2.00 h. 
B) 1.15 h. 
C) 1.00 h. 
D) 1.33 h. 
E) 0.67 h.

Exam 2: Motion in One Dimension

Only one of the following statements is correct.The correct statement is:

An object is moving in a straight line.At t = 0,its speed is 5.0 m/s.From t = 0 to t = 4.0 s,its acceleration is 2.5 m/s2.From t = 4.0 s to t = 11.0 s,its speed is constant.The average speed over the entire time interval is

The distance traveled by a car in the x-direction is shown.When the car changes speed for t = 10 s to 15 s,it does so uniformly.Use the graph below to answer the question. -The speed of the car at 5 s is

The change in displacement for a given time interval can be interpreted as

For this problem,refer to the figure in problem 31.Which interval has the highest magnitude in acceleration?

An object is dropped from rest near the surface of Earth.If the time interval during which it falls is cut in half,the distance it falls will

A Ford truck enters a highway and travels at a uniform speed of 50 mph.Half an hour later a Jaguar enters the highway at the same junction and heads in the same direction at 55 mph.How long after the Ford entered the highway does the Jaguar catch up with the truck?

A particle that is moving along a straight line decelerates uniformly from 40 cm/s to 20 cm/s in 5.0 s and then has a constant acceleration of 20 cm/s2 during the next 4.0 s.The average speed over the whole time interval is

An object is at x = -3 m and has a velocity of - 4 m/s.It is observed to be slowing down.Its acceleration is

The acceleration of a vehicle is given by a(t)= At where A is a constant.Its displacement as a function of time is (vo and xo are constants)

An airplane flies 600 miles with a tail wind in 2.0 hrs.If it takes 2.5 hrs to cover the same distance against the headwind,then what is the speed of the plane in still air?

Use the following to answer the question: -In which graph does the particle have a constant acceleration for the entire 5 s?

A Triumph sports car starts at rest and accelerates uniformly to a speed of 27.0 m/s in 11.8 s.Calculate the distance the car travels during this time interval.

An object is at x = -3 m and has a velocity of 4 m/s.It is observed to be slowing down.Its acceleration is

Use the following to answer the question: -Which graph of v versus t best describes the motion of a particle whose velocity is constant and negative?

A car accelerates uniformly from rest to a speed of 20 m/s at the end of 1 min; it then accelerates uniformly to a speed of 40 m/s at the end of the next minute.During this 2-min period,the average speed of the car is

Use the following to answer the question: -Which graph of v versus t best describes the motion of a particle with positive velocity and negative acceleration?

Use the following to answer the question: -In which graph of v versus t does the particle end up closest to its starting point?

A river 1.00 mile wide flows with a constant speed of 1.00 mi/h.A woman leaves from a point on the river bank.The woman rows a boat 1.00 mi directly upstream and returns to the starting point.Her speed in still water is 2.00 mi/h.The travel time for the woman is

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An object is moving in a straight line.At t = 0,its speed is 5.0 m/s.From t = 0 to t = 4.0 s,its acceleration is 2.5 m/s².From t = 4.0 s to t = 11.0 s,its speed is constant.The average speed over the entire time interval is

A particle that is moving along a straight line decelerates uniformly from 40 cm/s to 20 cm/s in 5.0 s and then has a constant acceleration of 20 cm/s² during the next 4.0 s.The average speed over the whole time interval is

The acceleration of a vehicle is given by a(t)= At where A is a constant.Its displacement as a function of time is (v_o and x_o are constants)