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AP Physics C Kinematics

Total questions: 63

Worksheet time: 2hrs 24mins

Name
Class
Date
1.
The graph respresents
a)
no motion
b)
constant velocity
c)
increasing velocity
d)
decreasing velocity
2.
At what time did runner A pass runner B?
a)
0 seconds
b)
1 second
c)
2 seconds
d)
3 seconds
3.
Calculate the acceleration for segment A.
a)
2 m/s2
b)
2 m/s
c)
-2 m/s2
d)
0 m/s2
4.
At 60 seconds, how far had this object traveled? 
a)
0 m
b)
10 m
c)
20 m
d)
40 m
5.
Which graph represents zero acceleration (constant velocity)?
a)
A
b)
B
c)
C
d)
D
6.
Which runner got a head start?
a)
red line runner
b)
blue line runner
7.
Which runner is faster?
a)
red line runner
b)
blue line runner
8.
What is happening between 2 and 3 seconds?
a)
The object is not moving.
b)
The object is not accelerating.
c)
The object is slowing down.
d)
The object is speeding up.
9.
What is happening between 3 seconds and 4 seconds?
a)
The object is moving in a negative direction.
b)
The object is returning to its starting position.
c)
The object is slowing to a stop.
d)
The object is changing direction.
10.
What happens at 4 seconds?
a)
The object changes direction.
b)
The object is at the starting point.
11.
What is happening between 4 and 5 seconds?
a)
The object is slowing down in a negative direction.
b)
The object is slowing down in a positive direction.
c)
The object is slowing down in a negative direction.
d)
The object is speeding up in a negative direction.
12.
Find the displacement in the first 5 seconds.
a)
8 meters
b)
4 meters
c)
2 meters
d)
5 meters
13.
Find the total displacement in the 7 seconds of motion.
a)
1 meter
b)
0 meters
c)
9 meters
d)
12 meters
14.
The red line shows...
a)
A stationary object.
b)
An object with constant velocity.
15.

A person walking along a straight line moves such that her velocity as a function of time can be represented by the graph above. At what time does the person have the same position as she had at time t = 0?

a)

At t = 5 s

b)

During the interval 5 s < t < 8 s

c)

At t = 8 s

d)

During the interval t > 8 s

16.
At 60 seconds, how far had this object traveled? 
a)
0 m
b)
10 m
c)
20 m
d)
40 m
17.
What does this graph represent?
a)
Constant Speed
b)
Acceleration
c)
Deacceleration
d)
Not moving
18.
Who had the greatest average speed after 100 seconds?
a)
Mike
b)
Katelyn
c)
Alex
d)
They had the same average speed
19.
What is happening at C?
a)
Stationary
b)
Accelerating
c)
Fast steady speed; moving away from the starting position
d)
Slower steady speed; moving away from the starting position
20.
What is happening at D?
a)
Stationary
b)
Accelerating
c)
Fast steady speed; moving away from the starting position
d)
Slower steady speed; moving away from the starting position
21.
A  car starts from rest and after  7 seconds it is moving at 42  m/s. What is the car’s acceleration?
a)
0.17
b)
1.67
c)
6
d)
7
22.
A car is traveling at 21.0 m/s. It slows to a stop at a constant rate over 5.00 s. How far does the car travel during those 5.00 seconds before it stops? 
a)
4.20 m
b)
52.5 m
c)
105 m
d)
158 m
23.
The SI unit for length or distance is
a)
foot (ft)
b)
inch (in)
c)
mile (mi)
d)
meter (m)
24.
The rate at which distance is covered is called speed.
a)
True
b)
False
25.
Motion sensors recorded the following data about a runner during a cross-country race. During which segment of the race did the runner have the greatest speed?
a)
W
b)
X
c)
Y
d)
Z
26.
The ball took 0.45 s to hit the ground 0.72 m from the table. What was the horizontal velocity of the ball as it rolled off the table?
a)
0 m/s
b)
0.63 m/s
c)
1.6 m/s
d)
2.2 m/s
27.
What would the d-t graph look like for an object travelling at a constant velocity? 
a)
Horizontal line
b)
Straight line
c)
Curved line
28.
What would the v-t graph look like for an object travelling at a constant velocity? 
a)
Curved line
b)
Straight line
c)
Horizontal line
29.
Describe the motion
a)
Slow to fast;   Negative direction
b)
Fast to slow;   Negative direction
c)
Fast to slow;   Positive direction
d)
Slow to fast;   Positive direction
30.
Describe the motion in segment C
a)
Slowing down;  Positive direction
b)
Slowing down;  Negative direction
c)
Speeding up;  Negative direction
d)
Constant velocity;  Negative direction
31.
Problem #3
A car is traveling at a velocity of 35.0 miles per hour.  The car runs off a cliff that has an unknown height.  The car 'lands' 50.0 meters from the base of the cliff.

How long would it take the car to 'land' after exiting the rim of the cliff?
a)
1.4 seconds
b)
3.2 seconds
c)
4.8 seconds
d)
0.7 seconds
32.
Beau throws a baseball at 23.0 m/s at an angle of 25.0 degrees relative to the ground.If the ball was caught 42.0 m from Beau, find the components
a)
Vx=20.8 m/s
Vy=9.72 m/s
b)
Vx=9.72 m/s
Vy=20.8 m/s
c)
Vx=20.8 m/s
Vy=19.72 m/s
d)
Vx=19.8 m/s
Vy=9.72 m/s
33.
Beau throws a baseball at 23.0 m/s at an angle of 25.0 degrees relative to the ground.If the ball was caught 42.0 m from Beau, find the time the ball was in the air
a)
0.991 seconds
b)
1.52 seconds
c)
1.98 seconds
d)
2.05 seconds
34.
Beau throws a baseball at 23.0 m/s at an angle of 25.0 degrees relative to the ground.If the ball was caught 42.0 m from Beau, the maximum height the ball reached
a)
2.81 m
b)
4.81 m
c)
8.81 m
d)
12.81 m
35.

The position of an object is given by the equation x = 3.0 t2 + 1.5 t + 4.5, where x is in meters and t is in seconds. What is the instantaneous acceleration of the object at t = 3.0 s?

a)

3.0 m/s/s

b)

6.0 m/s/s

c)

9.0 m/s/s

d)

19.5 m/s/s

e)

36 m/s/s

36.

The position of a toy locomotive moving on a straight track along the x-axis is given by the equation x = t3 – 6t2 + 9t, where x is in meters and t is in seconds. The net force on the locomotive is equal to zero when t is equal to

a)

zero

b)

2 s

c)

3 s

d)

4 s

e)

5 s

37.

The graph above shows the velocity v as a function of time t for an object moving in a straight line. Which of the following graphs shows the corresponding displacement x as a function of time t for the same time interval?

a)
b)
c)
d)
e)
38.

The graph above shows velocity as a function of time for a cart moving on a straight, horizontal track.

At which labeled point does the cart have the greatest speed?

a)

A

b)

B

c)

C

d)

D

e)

E

39.

The graph above shows velocity as a function of time for a cart moving on a straight, horizontal track. At which labeled point does the velocity of the cart change direction?

a)

A

b)

B

c)

C

d)

D

e)

E

40.

Along line segment B, the object is:

a)

Not moving

b)

Moving at a constant velocity

c)

Changing direction

d)

Experiencing acceleration

41.

Acceleration is greatest during which of the following segments?

a)

A

b)

B

c)

C

d)

D

e)

E

42.

Suppose that an object is moving with a constant velocity. Make a statement concerning its acceleration

a)

The acceleration must be constantly increasing.

b)

The acceleration must be constantly decreasing

c)

The acceleration must be a constant non-zero value.

d)

The acceleration must be equal to zero.

43.

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

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

44.
How much time would it take for an object to fall 4.7 meters?
a)
0.959 s
b)
4.79 s
c)
0.979 s
45.
 The graph shows Ashley riding her bike to Maria's house. 
What was her average speed for the ENTIRE trip?
a)
1600 m/min
b)
200 m/min
c)
160 m/min
46.

A cart travels with a constant nonzero acceleration along a straight line. Which graph best represents the relationship between the distance the cart travels and the time of travel?

a)
b)
c)
d)
47.

A student throws a baeball vertically upward and then catches it. If vertically upward is considered to be the positive direction, which graph best represents the the realtionship between velocity and time for baseball?

a)
b)
c)
d)
48.

The graph above represents the displacement of an object moving in a straight line as a function of time. What is the total distance the object moves during the 10.0 second interval?

a)

0 m

b)

8 m

c)

16 m

d)

24 m

49.

Which pair of graphs represent the same motion of an object?

a)
b)
c)
d)
50.
An object with an initial velocity of 3.50 m/s moves east along a straight and level path. The object then undergoes a constant acceleration of 1.80 m/s2 east for a period of 5.00 s. How far does the object move while it is accelerating?
a)
6.30 m
b)
17.5 m
c)
27.2 m
d)
40.0 m
51.
The unit we use to measure acceleration is ___. 
a)
meters / second 
b)
meters 
c)
seconds 
d)
meters / second / second 
52.

 dxdy=0\frac{\text{d}x}{\text{d}y}=0  , of the tangent at a point P(x,y) on the curve is parallel to the x-axis 

a)

True

b)

False 

53.

The scalar product of u and v is zero, therefore...

a)

vectors u and v are parallel

b)

vectors u and v are perpendicular

c)

vectors u and v are equal

d)

vectors u and v are multiples

54.

If vector A has an x component of 12 units and a y component of 7 units, what is the magnitude of vector A?

a)

19 units

b)

13 units

c)

14 units

d)

193 units

55.
What is the vertical acceleration of a projectile?
a)
0 m/s2
b)
-9.81 m/s2
56.

Integrate  x\sqrt{x}  with respect to x

a)

 x12+cx^{\frac{1}{2}}+c  

b)

 12x12+ c\frac{1}{2}x^{-\frac{1}{2}}+\ c  

c)

 23x32+ c\frac{2}{3}x^{\frac{3}{2}}+\ c  

d)

 32x32+ c\frac{3}{2}x^{\frac{3}{2}}+\ c  

57.

 (6x1)dx\int\left(6\sqrt{x}-1\right)dx  

a)

 6x32+x+C6x^{\frac{3}{2}}+x+C  

b)

 4x32x+C4x^{\frac{3}{2}}-x+C  

c)

 3x12x+C3x^{-\frac{1}{2}}-x+C  

d)

I didn't look at my notes to see how to do this one.

58.

What is the difference between a vector quantity and a scalar quantity?

a)

A scalar has a magnitude and direction and a vector has only a magnitude

b)

A vector has a magnitude and direction and a scalar has only a magnitude

c)

A scalar has a direction and a vector has a magnitude

d)

None of the above

59.

The acceleration of a particle moving along the x-axis is given by the function: a(t)=3t24t+3a\left(t\right)=3t^2-4t+3  where x is in m and t is in s. At t = 3 s, the velocity of the object is 4 m/s and the position of the object is 5 m. What is the position function of the particle?

4 lines
60.

The position function of a particle moving along the x-axis is given by: x(t)=14t25t9x\left(t\right)=14t^2-5t-9  What is the velocity of the particle at t=4 s?


a)

195 m/s

b)

28 m/s

c)

107 m/s

d)

27 m/s

61.

The cross product of two vectors will equal zero when...

a)

The two vectors have the same magnitude

b)

The two vectors are parallel

c)

The two vectors are perpendicular

d)

The two vectors are oriented above the x-axis

62.

 A=3i2j\overrightarrow{A}=3i-2j  
 B=4j+k\overrightarrow{B}=-4j+k  
Determine  AB\overrightarrow{A}\cdot\overrightarrow{B}  

a)

-14

b)

-14i

c)

8j

d)

8

63.

 A=9j8k\overrightarrow{A}=9j-8k  
 B=8i11k\overrightarrow{B}=-8i-11k  
Find  A×B\overrightarrow{A}\times\overrightarrow{B}  

a)

-99 i + 64 j +72 k

b)

99 i -64 j - 72 k

c)

37

d)

-37