numericals on velocity-time graph
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numericals on velocity-time graph
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Question: Consider the motion of the object whose velocity-time graph is given in the diagram.
What is the acceleration of the object between times  and ?
What is the acceleration of the object between times  and ?
What is the net displacement of the object between times  and ?
Answer:
The - graph is a straight-line between and , indicating constant acceleration during this time period. Hence,

The - graph is a straight-line between and , indicating constant acceleration during this time period. Hence,

The negative sign indicates that the object is decelerating.
Now, , so

In other words, the net displacement between times  and  equals the area under the - curve, evaluated between these two times. Recalling that the area of a triangle is half its width times its height, the number of grid-squares under the - curve is 25. The area of each grid-square is . Hence,