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Worksheets

Projectile Motion

Total questions: 15

Worksheet time: 3hrs 37mins

Name
Class
Date
1.

What is the Vertex of the graph?

a)

(-4, -4)

b)

(0, 0)

c)

(-8, 0)

d)

(-2, -3)

2.
The height of an object thrown into the air can be modeled by the formula h(t) = -16t2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?
a)
95 feet
b)
45 feet
c)
70 feet
d)
171.56 feet
3.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
4.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
5.

Henry launched a model rocket from the ground with an initial speed of 88 feet per second. When will the rocket be 40 feet high?

a)

0.5 sec, 5 seconds

b)

0.5 seconds

c)

5 seconds

d)

never

6.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -16t2 + 80t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

96 feet

d)

100 feet

7.
The height of an object thrown into the air can be modeled by the formula h(t) = -16t2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?
a)
95 feet
b)
45 feet
c)
70 feet
d)
171.56 feet
8.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?

a)

1 second

b)

7 seconds

c)

14 seconds

9.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What was the maximum height the rocket reached?

a)

25 feet

b)

45 feet

c)

65 feet

d)

85 feet

10.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?

a)

1 second

b)

5 seconds

c)

7 seconds

d)

11 seconds

11.

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t2 + 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

a)

-16 seconds

b)

-6 seconds

c)

0 seconds

d)

5 seconds

12.

A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t2 + 100t + 5

How many seconds did it take for the ball to reach its maximum height?

a)

3.654 seconds

b)

2.451 seconds

c)

161.25 seconds

d)

3.125 seconds

13.

A ball is thrown into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t2 + 100t + 5.

What is the maximum height?

a)

125.251 feet

b)

161.25 feet

c)

239.126 feet

d)

115.25 feet

14.

A ball is thrown into the air with an initial velocity of 100 ft/s. Its height, h, after t seconds is given by the function

h = -16t2 + 100t + 5.

When did the ball hit the ground?

a)

6.300 seconds

b)

11.251 seconds

c)

5.369 seconds

d)

7.458 seconds

15.

In a projectile motion problem, if the question is asking when an object will hit the ground, what part of the graph are you looking for? (Provided y is the height of the object and x is time)

a)

The y-intercept

b)

The x-intercepts

c)

The x-coordinate of the vertex

d)

The y-coordinate of the vertex

e)

Something else