Question

An athlete starts from rest.he accelerates uniformly and completes 100m race in 10sec.find his acceleration.

Answer 1

As athlete is at rest,. (u)=0m/s
Given displacement (S)=100 m Time taken to cover 100m=10sec
We know,
$s = u \times t + \frac{1}{2} \times a \times {t}^{2} \\ 100 = 0 \times 10 + \frac{1}{2} \times a \times {10}^{2} \\ 100 = 0 + \frac{a}{2} \times 100$
$100 = 50 \times a \\ a = \frac{100}{50} \\ a = 2 m \: per \: {sec}^{2}$
therefore , acceleration of the athlete=2m/sec square