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 22 m/sec in 7 seconds. How far does it travel during this period of acceleration?
154 meters
308 meters
39 meters
77 meters
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Question 2
What acceleration did the car is
Question 1
experience?
3.14 m/sec
^{2}
11.00 m/sec
^{2}
0.32 m/sec
^{2}
3.46 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 182 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
2.8 seconds
16.0 seconds
11.4 seconds
18.2 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-8.00 m/sec
^{2}
-1.76 m/sec
^{2}
-5.69 m/sec
^{2}
-2.81 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 7 seconds to travel 32 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 7-second period?
4.57 m/sec
2.65 m/sec
8.00 m/sec
9.14 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 182 meters wide. If the boat continues maintaining the final velocity it achieves at the end of 7 seconds for the remainder of the trip, how much total time will it need to reach the opposite shore?
23.4 seconds
16.7 seconds
16.4 seconds
43.1 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
0.65 m/sec
^{2}
0.34 m/sec
^{2}
1.31 m/sec
^{2}
1.39 m/sec
^{2}
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Question 8
Scenario #4:
A go-cart, accelerating down a hill at 1.75 m/sec
^{2}
can travel 57 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?
0.89 m/sec
0.18 m/sec
0.22 m/sec
0.07 m/sec
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Question 9
What was the cart's final velocity when it reached the bottom of the hill?
2.6 m/sec
14.2 m/sec
7.1 m/sec
10.1 m/sec
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