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.
omit
Question 1
Scenario #1:
A car accelerates uniformly from rest to a final speed of 18 m/sec in 7 seconds. How far does it travel during this period of acceleration?
126 meters
63 meters
32 meters
252 meters
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Question 2
What acceleration did the car is
Question 1
experience?
0.39 m/sec
^{2}
9.00 m/sec
^{2}
2.57 m/sec
^{2}
2.31 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 189 meters to avoid hitting a boulder that has fallen onto the road. How much time does the driver have to avoid an accident?
3.2 seconds
12.6 seconds
15.0 seconds
18.9 seconds
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Question 4
What acceleration did the truck experience in
Question 2
?
-6.30 m/sec
^{2}
-7.50 m/sec
^{2}
-2.38 m/sec
^{2}
-1.59 m/sec
^{2}
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Question 5
Scenario #3:
A row boat, starting from rest, takes 7 seconds to travel 30 meters. If the boat maintains a uniform acceleration, what will be its instantaneous velocity at the end of this intial 7-second period?
4.29 m/sec
7.75 m/sec
2.65 m/sec
8.57 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 189 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?
40.2 seconds
18.6 seconds
25.6 seconds
17.6 seconds
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Question 7
What acceleration did the row boat initially experience in
Question 5
?
1.22 m/sec
^{2}
1.34 m/sec
^{2}
0.61 m/sec
^{2}
0.30 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 51 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?
0.91 m/sec
0.19 m/sec
0.29 m/sec
0.23 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
9.5 m/sec
6.8 m/sec
13.3 m/sec
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