Question

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

Answer 1

Step 1: Given and to find
Initial velocity, $u=0$

Distance, $s=100m$

Time, $t=5s$

We need to find the acceleration

Step 2: Formula

1. We know that a change in speed with respect to time is called acceleration.
2. We know that formula of the equation of motion i.e $s=ut+\frac{1}{2}a{t}^2$…(I)

Where u is initial velocity and a is acceleration and t is time

Step 3: Finding acceleration

1. Putting all given values in equation (i) we get

$$\begin{gathered} 100=0\times 5+\frac{1}{2}\times a\times 5^2 \\ 100=\frac{25a}{2} \\ 25a=200 \\ a=\frac{200}{25}=8m{s}^{-2} \end{gathered}$$

Hence, the value of acceleration is $8m{s}^{-2}$.