Question 1

The area under a curve in a velocity versus time graph gives

Accepted Answer

A) acceleration. 
B) velocity. 
C) displacement. 
D) position. 
A) acceleration. 
B) velocity. 
C) displacement. 
D) position.

Question 2

You are driving home on a weekend from school at 55 mi/h for 110 miles. It then starts to snow and you slow to 35 mi/h. You arrive home after driving 4 hours and 15 minutes. How far is your hometown from school?

Accepted Answer

A) 180 mi 
B) 190 mi 
C) 200 mi 
D) 210 mi 
A) 180 mi 
B) 190 mi 
C) 200 mi 
D) 210 mi

Question 3

A car is able to stop in a distance d. Assuming the same braking force (and therefore the same acceleration), what distance does this car require to stop when it is traveling twice as fast?

Accepted Answer

A) d 
B) 2d 
C)  $\sqrt { 2 }$ d 
D) 4d 
E) 2 $\sqrt { 2 }$ d 
A) d 
B) 2d 
C)  $\sqrt { 2 }$ d 
D) 4d 
E) 2 $\sqrt { 2 }$ d

Question 4

An object is dropped from a bridge. A second object is thrown downwards 1.0 s later. They both reach the water 20 m below at the same instant. What was the initial speed of the second object? Neglect air resistance.

Accepted Answer

A) 4.9 m/s 
B) 15 m/s 
C) 9.9 m/s 
D) 20 m/s 
E) 21 m/s 
A) 4.9 m/s 
B) 15 m/s 
C) 9.9 m/s 
D) 20 m/s 
E) 21 m/s

Question 5

A ball is projected upward at time t = 0 s, from a point on a flat roof 90 m above the ground. The ball rises and then falls with insignificant air resistance, missing the roof, and strikes the ground. The initial velocity of the ball is $80.5 \mathrm {~m} / \mathrm { s }$ Consider all quantities as positive in the upward direction. The vertical velocity of the ball when it is $89 \mathrm {~m}$ above the ground is closest to

Accepted Answer

A) -81 m/s. 
B) -64 m/s. 
C) -48 m/s. 
D) -32 m/s. 
E) -97 m/s. 
A) -81 m/s. 
B) -64 m/s. 
C) -48 m/s. 
D) -32 m/s. 
E) -97 m/s.

Question 6

The graph in the figure shows the velocity of a particle as it travels along the x-axis. (a)In what direction (+x or -x)is the acceleration at t = 0.5 s?
(b)In what direction (+x or -x)is the acceleration at t = 3.0 s?
(c)What is the average acceleration of the particle between t = 2.0 s and t = 4.0 s?
(d)At what value of t is the instantaneous acceleration equal to 0 m/s2?

Accepted Answer

(a)-x (b)+

Question 7

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?

Accepted Answer

A) 84 km/h 
B) 89 km/h 
C) 90 km/h 
D) 91 km/h 
A) 84 km/h 
B) 89 km/h 
C) 90 km/h 
D) 91 km/h

Question 8

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery
(a)what distance you have traveled?
(b)what is your displacement?

Accepted Answer

(a)10.5 km

Question 9

A car is traveling with a constant speed of 30.0 m/s when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration. The car comes to a stop in a distance of 120 m. What was the acceleration of the car as it slowed down?

Accepted Answer

A) 3.75 m/s2 
B) 4.00 m/s2 
C) 4.25 m/s2 
D) 4.50 m/s2 
E) 4.75 m/s2 
A) 3.75 m/s2 
B) 4.00 m/s2 
C) 4.25 m/s2 
D) 4.50 m/s2 
E) 4.75 m/s2

Question 10

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and decrease their velocities at the same rate. If car B travels a distance D before stopping, how far does car A travel before stopping?

Accepted Answer

A) 4D 
B) 2D 
C) D 
D) D/2 
E) D/4 
A) 4D 
B) 2D 
C) D 
D) D/2 
E) D/4

Question 11

A 10-kg rock and a 20-kg rock are dropped at the same time and experience no significant air resistance. If the 10-kg rock falls with acceleration a, what is the acceleration of the 20-kg rock?

Accepted Answer

A) 4a 
B) 2a 
C) a 
D) a/2 
E) a/4 
A) 4a 
B) 2a 
C) a 
D) a/2 
E) a/4

Question 12

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from $56 \mathrm { mi } / \mathrm { h }$ to rest than from $28 \mathrm { mi } / \mathrm { h }$ ?

Accepted Answer

A) 4 times farther 
B) 3.2 times farther 
C) 4.8 times farther 
D) 5.2 times farther 
A) 4 times farther 
B) 3.2 times farther 
C) 4.8 times farther 
D) 5.2 times farther

Question 13

Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Neglect air resistance. As time progresses, the difference in their speeds

Accepted Answer

A) increases. 
B) remains constant. 
C) decreases. 
D) cannot be determined from the information given. 
A) increases. 
B) remains constant. 
C) decreases. 
D) cannot be determined from the information given.

Question 14

You leave on a $549 - \mathrm { mi }$ trip in order to attend a meeting that will start $10.8 \mathrm {~h}$ after you begin your trip. Along the way you plan to stop for dinner. If the fastest you can safely drive is 65 mi/h, what is the longest time you can spend over dinner and still arrive just in time for the meeting?

Accepted Answer

A) 2.4 h 
B) 2.6 h 
C) 1.9 h 
D) You can't stop at all. 
A) 2.4 h 
B) 2.6 h 
C) 1.9 h 
D) You can't stop at all.

Question 15

An object is moving with constant non-zero velocity in the +x direction. The position versus time graph of this object is

Accepted Answer

A) a horizontal straight line. 
B) a vertical straight line. 
C) a straight line making an angle with the time axis. 
D) a parabolic curve. 
A) a horizontal straight line. 
B) a vertical straight line. 
C) a straight line making an angle with the time axis. 
D) a parabolic curve.

Question 16

A car starts from rest and accelerates at a steady 6.00 m/s2. How far does it travel in the first 3.00 s?

Accepted Answer

A) 9.00 m 
B) 18.0 m 
C) 27.0 m 
D) 36.0 m 
E) 54.0 m 
A) 9.00 m 
B) 18.0 m 
C) 27.0 m 
D) 36.0 m 
E) 54.0 m

Question 17

A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s?

Accepted Answer

A) 16 m 
B) 24 m 
C) 42 m 
D) 84 m 
A) 16 m 
B) 24 m 
C) 42 m 
D) 84 m

Question 18

A toy rocket is launched vertically from ground level at time t = 0.00 s. The rocket engine provides constant upward acceleration during the burn phase. At the instant of engine burnout, the rocket has risen to 81 m and acquired an upward velocity of $40 \mathrm {~m} / \mathrm { s }$ The rocket continues to rise with insignificant air resistance in unpowered flight, reaches maximum height, and falls back to the ground. The upward acceleration of the rocket during the burn phase is closest to

Accepted Answer

A) 9.9 m/ $\mathrm { s } ^ { 2 }$ . 
B) 9.6 m/ $\mathrm { s } ^ { 2 }$ . 
C) 9.3 m/ $\mathrm { s } ^ { 2 }$ . 
D) 9.0 m/ $\mathrm { s } ^ { 2 }$ . 
E) 8.7 m/ $\mathrm { s } ^ { 2 }$ . 
A) 9.9 m/ $\mathrm { s } ^ { 2 }$ . 
B) 9.6 m/ $\mathrm { s } ^ { 2 }$ . 
C) 9.3 m/ $\mathrm { s } ^ { 2 }$ . 
D) 9.0 m/ $\mathrm { s } ^ { 2 }$ . 
E) 8.7 m/ $\mathrm { s } ^ { 2 }$ .

Question 19

A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?

Accepted Answer

The answer of A water rocket can reach a speed...

Question 20

What must be your average speed in order to travel 350 km in 5.15 h?

Accepted Answer

A) 66.0 km/h 
B) 67.0 km/h 
C) 68.0 km/h 
D) 69.0 km/h 
A) 66.0 km/h 
B) 67.0 km/h 
C) 68.0 km/h 
D) 69.0 km/h

Exam 2: Motion in One Dimension

The area under a curve in a velocity versus time graph gives

You are driving home on a weekend from school at 55 mi/h for 110 miles. It then starts to snow and you slow to 35 mi/h. You arrive home after driving 4 hours and 15 minutes. How far is your hometown from school?

A car is able to stop in a distance d. Assuming the same braking force (and therefore the same acceleration), what distance does this car require to stop when it is traveling twice as fast?

An object is dropped from a bridge. A second object is thrown downwards 1.0 s later. They both reach the water 20 m below at the same instant. What was the initial speed of the second object? Neglect air resistance.

A motorist travels 160 km at 80 km/h and 160 km at 100 km/h. What is the average speed of the motorist for this trip?

If, in the figure, you start from the Bakery, travel to the Cafe, and then to the Art Gallery (a)what distance you have traveled? (b)what is your displacement?

A car is traveling with a constant speed of 30.0 m/s when the driver suddenly applies the brakes, causing the car to slow down with a constant acceleration. The car comes to a stop in a distance of 120 m. What was the acceleration of the car as it slowed down?

Car A is traveling at twice the speed of car B. They both hit the brakes at the same time and decrease their velocities at the same rate. If car B travels a distance D before stopping, how far does car A travel before stopping?

A 10-kg rock and a 20-kg rock are dropped at the same time and experience no significant air resistance. If the 10-kg rock falls with acceleration a, what is the acceleration of the 20-kg rock?

Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from 56mi/h56 \mathrm { mi } / \mathrm { h }56mi/h to rest than from 28mi/h28 \mathrm { mi } / \mathrm { h }28mi/h ?

Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Neglect air resistance. As time progresses, the difference in their speeds

An object is moving with constant non-zero velocity in the +x direction. The position versus time graph of this object is

A car starts from rest and accelerates at a steady 6.00 m/s2. How far does it travel in the first 3.00 s?

A jet plane is launched from a catapult on an aircraft carrier. In 2.0 s it reaches a speed of 42 m/s at the end of the catapult. Assuming the acceleration is constant, how far did it travel during those 2.0 s?

A water rocket can reach a speed of 75 m/s in 0.050 seconds from launch. What is its average acceleration?

What must be your average speed in order to travel 350 km in 5.15 h?

Representing Motion

Vectors and Motion in Two Dimensions

Forces and Newtons Laws of Motion

Applying Newtons Laws

Gravity

Rotational Motion

Equilibrium Ad Elasticity

Momentum

Energy and Work

Using Energy

Thermal Properties of Matter

Fluids

Oscillations

Traveling Waves and Sound

Superposition and Standing Waves

Wave Optics

Ray Optics

Optical Instruments

Electric Fields and Forces

Electric Potential

Current and Resistance

Circuits

Magnetic Fields and Forces

Em Induction and Em Waves

Ac Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

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Assuming equal rates of uniform acceleration in both cases, how much further would you travel if braking from $56 \mathrm { mi } / \mathrm { h }$ to rest than from $28 \mathrm { mi } / \mathrm { h }$ ?

A car starts from rest and accelerates at a steady 6.00 m/s². How far does it travel in the first 3.00 s?