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A body moves, from rest with a constant acceleration of 5 m per sec. The distance covered in 5 sec is most nearly

Equation of motion:

It is defined as equations that describe the behavior of a physical system in terms of its motion as a function of time.

Calculation:

Given:

\(\displaystyle s=ut+\frac{1}{2}a{{t}^{2}}\)

where

u = initial velocity

v = final velocity

a = acceleration

s = displacement, t = time

u = 0 m/s, a = 5 m/s2, t = 5 s

\(\displaystyle s=ut+\frac{1}{2}a{{t}^{2}}\)

\(\displaystyle \begin{array}{l}s=0\times t+\frac{1}{2}a{{t}^{2}}\\\\s=\frac{1}{2}a{{t}^{2}}\\\\s=\frac{1}{2}\times 5\times {{5}^{2}}\end{array}\)

s = 62.5m