Question

A marathon runner runs a 200m sprint in 10 seconds. It is known that he started standing still. Then determine the acceleration achieved by him knowing that his final speed was 36 km / h.

Answer 1

The acceleration of the runner is 0.25 m/s²

Step-by-step explanation:

Given;

distance covered by the runner, d = 200 m

time of motion, t = 10 s

initial velocity of the runner, u = 0 (he started standing still)

final velocity of the runner, v = 36 km/h = 10 m/s

Therefore, to achieve the final speed of the runner, his acceleration is calculated as follows;

v² = u² + 2as

10² = 0 + (2 x 200)a

100 = 400a

a = 100/400

a = 0.25 m/s²

The acceleration of the runner is 0.25 m/s²