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# Answer to Question #126957 in Mechanics | Relativity for Quanda

Question #126957

A boy in a 100 m flat race accelerates from rest and completes the race in 15 s. Sketch a velocity-time graph for his motion.

1
2020-07-23T08:46:22-0400

For the constant acceleration "a" , the velocity as a function of time will be:

"v(t) = v_0 + at"

where "v_0 = 0" is the initial velocity (starting from the rest). Thus, we obtain the linear function

"v(t) = at"

Let's find the acceletation. The distance "d" covered under a constant acceleration is given by:

"d = \\dfrac{at^2}{2}"

Expressing "a" and substituting the numerical values, obtain:

"a = \\dfrac{2d}{t^2} = \\dfrac{200m}{15^2s^2} \\approx 0.89 m\/s^2"

Thus, obtain the following velocity-time function:

"v(t) = 0.89t"

and the following graph

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