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 23 m/sec in 11 seconds. How far does it travel during this period of acceleration?
127 meters
63 meters
506 meters
253 meters
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Question 2
What acceleration did the car is
Question 1
experience?
2.09 m/sec
^{2}
11.50 m/sec
^{2}
0.48 m/sec
^{2}
2.40 m/sec
^{2}
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Question 3
Scenario #2:
A pickup truck moving at 32 m/sec must come to a stop in a distance of 220 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
22.0 seconds
13.8 seconds
16.0 seconds
3.4 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-1.45 m/sec
^{2}
-8.00 m/sec
^{2}
-2.33 m/sec
^{2}
-6.88 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 11 seconds to travel 32 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 11-second period?
5.82 m/sec
2.91 m/sec
3.32 m/sec
8.00 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 220 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 11 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
32.3 seconds
28.8 seconds
43.3 seconds
38.8 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.13 m/sec
^{2}
0.53 m/sec
^{2}
0.26 m/sec
^{2}
0.18 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 2.75 m/sec
^{2}
can travel 90 meters in 8 seconds. What was the cart's initial velocity at the top of the hill after a subtle, not so official, push-start?
0.28 m/sec
1.41 m/sec
0.22 m/sec
0.34 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
22.2 m/sec
15.8 m/sec
11.3 m/sec
3.3 m/sec
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