A few days ago
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Physics question?

Suppose a runner runs 100 m in 9.85 seconds. Suppose he reaches his peak velocity in the first 3 seconds 18 meters from the start line. find his peak velocity and acceleration. provide steps

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A few days ago
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You are assuming the runner accelerates from v=0 at a constant rate, and after 3 seconds the velocity is constant.

When the acceleration is constant and the speed changes from v0 to v1 in time t, then:

a = (v1-v0)/t1

d1 (distance, area under graph) = 1/2 (v1-v0) t1 (= 18)

t1 = 3 s

v0 =0 m/s^2

after 3 s you will have constant velocity = v1 and:

d2 = v1 t2

t2 = (9.85-3) s

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