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Question

To derive the first equation of motion, which graph is more helpful?

A
Distance-time graph
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B
Velocity-time graph
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C
Speed-time graph
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D
Displacement-time graph
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Solution

The correct option is B Velocity-time graphFirst equation of motion is v=u+at. Where v is final velocity, u is initial velocity, a is acceleration and t is time period. To derive this equation, velocity-time graph is more suitable than any other graph. The main reason is the slope of velocity-time graph gives acceleration. Since we need acceleration which we get using change in velocity per unit time. From the graph it is clear that, the slope of a velocity line is v−ut which is acceleration a. After rearranging the terms we get, v = u + at (1st equation of motion)

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