Practice Problems Uniform Acceleration: SVA Graphs

Directions: On this worksheet you will have an opportunity to practice the relationships between families of position-time, velocity-time, and acceleration-time graphs. Please note that the diagrams are not drawn to scale.

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Question 1  For these graphs, t1 = 5 seconds, t2 = 9 seconds, and vf = -5 m/sec.
If the uniform acceleration between 5 and 9 seconds was a = 2.5 m/sec2, then what was the value of vo?
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Question 2  In Question #1, if the position of point y equals 21 meters, then what is the value of P?
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Question 3  In Question #1, what was the object's average velocity between 5 and 9 seconds?
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Question 4  For these graphs, t1 = 5 seconds, t2 = 9 seconds. In addition, the positions of y and P in meters are: y = 21 m and P = 30 m.
If the value of vf = -7.5 m/sec, then what is the value of vo?
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Question 5  In Questions #4, what is the value for the object's acceleration, a?
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Question 6  For these graphs, t1 = 5 seconds, t2 = 11 seconds, vo = 10 m/sec, and vf = 10.5 m/sec2.
What was this object's uniform acceleration, a?
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Question 7  What was the object's displacement during the time interval graphed?
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Question 8  For these graphs, t1 = 6 seconds, t2 = 9 seconds, vo = 10.5 m/sec, and vf = 10 m/sec.
If the position of y equals -21 meters, then what is the value of P?
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Question 9  In which set does the object have a positive acceleration despite the fact that it is losing speed?