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Worksheets

Vectors, Freefall, and Projectile Motion

Total questions: 54

Worksheet time: 30mins

Name
Class
Date
1.

A resultant vector is

a)

equal to the sum of one vector.

b)

equal to the sum of two or more vectors.

c)

equal to the difference of one vector.

2.

What is the resultant of these two vectors?

a)

+17 m

b)

+3 m

c)

-17 m

d)

-3 m

3.

What is the resultant vector of the two labeled vectors?

a)

+2 km

b)

+14 km

c)

-2 km

d)

-14 km

4.
How do you combine vectors if they are at a right angle to each other, and you know two sides?
a)
Multiply
b)
Divide
c)
Pythagorean Theorem
d)
Use trigonometry
5.
If a bullet is horizontally shot at the same moment another bullet is dropped from the same height, which will hit the ground first?
a)
Shot Bullet
b)
Dropped Bullet
c)
Hit at Same Time
6.
If you throw a baseball straight up, what is its acceleration at the highest point?
a)
-9.8 m/s2
b)
-9.8 m/s
c)
0 m/s2
d)
0 m/s
7.
If you throw a baseball straight up, what is its velocity at the highest point?
a)
9.8 m/s2
b)
9.8 m/s
c)
0 m/s2
d)
0 m/s
8.

10 m

a)

scalar

b)

vector

9.

17 m/s, East

a)

Vector

b)

Scalar

10.
Which of the following quantities are vectors?
a)
speed, velocity, acceleration
b)

velocity, acceleration, displacement

c)

distance, acceleration, mass

d)

distance, velocity, time

11.

You slowly walked 10 km West and then quickly ran 10 km North. During each part of the journey, the ______________ was the same.

a)

displacement

b)

distance

c)

time

d)

velocity

12.
What is the total displacement of the object represented in this motion graph?
a)
0 meters
b)
20 meters
c)
30 meters
d)
60 meters
13.
What is the total distance of the object represented in this motion graph?
a)
0 meters
b)
300 meters
c)
450 meters
d)
600 meters
14.
Which of the following describes distance and displacement correctly?
a)
The blue arrow shows distance and the orange arrows show displacement
b)
The blue arrow shows displacement and the orange arrows show distance
c)
Both arrows show distance only
d)
Both arrows show distance and displacement
15.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
16.

The direction of this vector is

a)

30 degrees east of north

b)

30 degrees south of west

c)

20 degrees north of east

17.

If two vectors to be added are at right angles, you will need to

a)

just add them together.

b)

use the Pythagorean theorem.

c)

use the Law of Tangents.

d)

subtract the smaller for the larger.

18.

Vectors are added visually using the

a)

tail to tail method.

b)

tail to head method.

c)

tip to tail method.

d)

head to head method.

19.

"A ball that is thrown upwards slows down due to the force of gravity." Which of the 4 vectors pairs would be the most appropriate to match this scenario?

a)

1

b)

2

c)

3

d)

4

20.

Which would hit the ground first if dropped from the same height in a vacuum—a feather or a metal bolt?

a)

the feather

b)

the metal bolt

c)

They would hit the ground at the same time.

d)

They would be suspended in a vacuum.

21.

A hammer is dropped on Earth and the Moon. If gravitational pull on the Moon is about six times weaker than on Earth, where does a hammer fall faster?

a)

Moon

b)

Earth

c)

No difference

d)

Depends on the mass of the hammer

22.

The state that exists when the only force acting on an object is gravity is called

a)

momentum

b)

acceleration

c)

inertia

d)

free fall

23.

What happens to the velocity of a ball as it is dropped off a cliff?

a)

It decreases at a uniform rate

b)

It increases at a uniform rate

c)

It is constant

d)

It increases at a non-uniform rate

24.

What values are always known for a free falling object?

a)

d = -9.8 m vi = 0 m/s

b)

vi = -9.8 m/s a = -9.8 m/s2

c)

vi = -9.8 m/s a = 0 m/s2

d)

vi = 0 m/s a = -9.8 m/s2

25.

Which of the following statements applies to the motion of a ball tossed upward?

I. It has constant acceleration on the way up

II. It has constant acceleration at the top of its path

III. It has constant acceleration as it moves downward.

a)

I only

b)

I and III

c)

III only

d)

All are correct

26.

A problem that asks "how long did it take" is prompting you for an answer measured in

a)

distance in meters.

b)

velocity in meters / second.

c)

acceleration in meters / second^2.

d)

time in seconds.

27.

A problem that asks "how far did the object move?" is prompting you for an answer measured in

a)

distance in meters.

b)

velocity in meters / second.

c)

acceleration in meters / second^2.

d)

time in seconds.

28.

Terry dropped a pebble from the top of his apartment building. The pebble impacted the ground after falling for 2.2 seconds. Calculate the height of the apartment building.

a)

21.5 m

b)

10.8 m

c)

47.4 m

d)

23.7 m

29.

Now Denise climbs a 15 m high hill and drops the stone . How long does it take to hit the ground?

a)

3.06 s

b)

1.75 s

c)

10.1 s

d)

3.2 s

30.

Which of these graphs correctly illustrates freefall?

a)

A

b)

B

c)

C

d)

All could be correct

31.

An object is thrown horizontally from a cliff. The time it takes to fall to the ground is

a)

more than if it was just dropped

b)

the same amount of time than if it was just dropped

c)

less than if it was just dropped

d)

impossible to determine

32.

You drop a banana. What is the banana's velocity after 2 seconds (rounded to the nearest whole number)?

a)

-5 m/s

b)

-10 m/s

c)

-20 m/s

d)

-30 m/s

33.

In projectile motion, the vertical velocity is always constant.

a)

True

b)

False

34.

In projectile motion, the horizontal velocity is always constant.

a)

True

b)

False

35.
An object is shot from the ground (at 25 m/s) at 25 degrees and 65 degrees.  Which one has the greater range?   (assume no air resistance)
a)
25 degrees
b)
65 degrees
c)
same for both
d)

cannot be determined

36.
An object is shot from the ground (at 25 m/s) at 25 degrees and 65 degrees.  Which is in the air for longer? (assume no air resistance)
a)
25 degrees
b)
65 degrees
c)
same for both
37.
Consider drops of water leaking from a water faucet. As the drops fall they 
a)
remain at a relatively fixed distance from each other
b)
get farther apart
c)
get closer together
d)

cannot be determined

38.
Two objects of the same mass are launched from the ground. Object A has a launch angle of 45, while Object B has a launch angle of 65. Which object will hit the ground first?
a)
A
b)
B
c)
Both objects hit the ground at the same time
d)
unable to determine with the given information
39.

In a projectile motion we always have...

a)

1 component (x)

b)

3 components (x,y, and z)

c)

2 components (x and y)

d)

0 components

40.

What is the direction of the acceleration for any projectile?

a)

The direction the projectile is traveling.

b)

Down

c)

Up

d)

Sideways

41.

A projectile is fired with initial velocity vo at an angle θ0 with the horizontal and follows the trajectory shown above. Which of the following pairs of graphs best represents the vertical components of the velocity and acceleration, v and a, respectively, of the projectile as functions of time t?

a)
b)
c)
d)
e)
42.

A ball is thrown and follows the parabolic path shown above. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. How do the speeds of the ball at the three points compare?

a)

vP < vQ < vR

b)

vR < vQ < vP

c)

vQ < vR < vP

d)

vQ < vR = vP

e)

vP = vQ < vR

43.

A ball is thrown and follows the parabolic path shown above. Air friction is negligible. Point Q is the highest point on the path. Points P and R are the same height above the ground. Which of the following diagrams best shows the direction of the acceleration of the ball at point P?

a)
b)
c)
d)
e)
44.

The initial horizontal velocity of a projectile is ____ its final horizontal velocity.

a)

less than

b)

equal to

c)

greater than

45.

What is true about the vertical velocity of a projectile launched horizontally?

a)

It is initially at its maximum value.

b)

It increases due to gravity as it falls.

c)

It remains constant throughout its trajectory.

d)

It decreases as it falls due to gravity.

46.

If two projectiles are launched at two different heights, 2m and 10m, which one will reach the ground first?

a)

2m

b)

10m

c)

they both will hit the ground at the same time

47.

An airplane traveling at constant velocity drops a bomb. Where is the airplane when the bomb hits the

ground?

a)

above the bomb

b)

before the bomb

c)

past the bomb

48.

Which of the following would NOT be considered a projectile?

a)

A cannonball fired towards a distant castle.

b)

A cannonball rolling down a slope.

c)

A cannonball fired straight outward from a castle wall.

d)

A cannonball after it rolls off the edge of a cliff.

49.

Victor Velocity is standing on top of the roof of his house, firing stones with his slingshot over a level field. He is aiming straight outward, horizontally. If Victor pulls back harder on the sling to shoot a stone, which of the following quantities will be changed?

a)

The vertical displacement of the stone.

b)

The distance the stone travels, and the horizontal velocity.

c)

The time it takes the stone to strike the ground, and the horizontal velocity.

50.

The vertical value of a vector, such as the height

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

51.

The horizontal value of a vector, such as the range

a)

Resultant vector

b)

Component vector

c)

x-component

d)

y-component

52.

A package is dropped from an airplane, where will the package hit the ground?

a)

A

b)

B

c)

C

53.

What angle would give the same range (horizontal distance) as a projectile launched at 12 degrees?

a)

88 degrees

b)

78 degrees

c)

24 degrees

d)

45 degrees

54.

What do angled launched and horizontal launched projectiles have in common?

a)

They both speed up horizontally

b)

They both fall at the same rate

c)

They both start with no vertical velocity

d)

They have nothing in common