Practice Problems
Uniformly Accelerated Motion
Directions:
On this worksheet you will practice solving problems by using the
five basic kinematics equations
for uniformly accelerated motion.
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Question 1
Scenario #1:
A car accelerates uniformly from rest to a final speed of 19 m/sec in 9 seconds. How far does it travel during this period of acceleration?
43 meters
342 meters
86 meters
171 meters
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Question 2
What acceleration did the car is
Question 1
experience?
9.50 m/sec
^{2}
2.11 m/sec
^{2}
2.01 m/sec
^{2}
0.47 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 30 m/sec must come to a stop in a distance of 200 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
15.0 seconds
20.0 seconds
3.3 seconds
13.3 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-7.50 m/sec
^{2}
-2.25 m/sec
^{2}
-1.50 m/sec
^{2}
-6.67 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 9 seconds to travel 30 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 9-second period?
7.75 m/sec
3.00 m/sec
6.67 m/sec
3.33 m/sec
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Question 6
At the point in the stream where the boat in
Question 5
is crossing, the stream is a total of 200 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 9 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
25.5 seconds
34.5 seconds
37.8 seconds
23.2 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
0.22 m/sec
^{2}
1.19 m/sec
^{2}
0.74 m/sec
^{2}
0.37 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.25 m/sec
^{2}
can travel 65 meters in 7.5 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
0.26 m/sec
0.20 m/sec
1.16 m/sec
0.30 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
8.7 m/sec
12.2 m/sec
17.1 m/sec
2.9 m/sec
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