Question

a body starting from rest travels with uniform acceleration. if it ravels 100 m in 5 seconds what is the value of acceleration?

Answer 1

A body starting from rest travels with uniform acceleration. If it travels 100 m in 5 seconds what is the value of acceleration?

Solution.

The distance traveled by the body after $t$ seconds with uniform acceleration $a \, \text{m/s}^2$ is:

$$S = v_0 t + \frac{1}{2} a t^2 \, \text{m};$$

where $v_0 \, (\text{m/s})$ is the initial velocity of the body;

In this case $v_0 = 0$, because body is starting to travel from rest. So:

$$S = \frac{1}{2} a t^2;$$

Find the acceleration:

$$a = \frac{2S}{t^2} = \frac{2 \times 100}{5^2} = 8 \, \text{m/s}^2;$$

Answer: the acceleration is $8 \, \text{m/s}^2$.