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

Initial velocity $u=0$

displacement $s=100\ m$

Time $t=5\ sec.$

Let $a$ be the acceleration of the moving body.

Then, on using the equation of motion $s=ut+\frac{1}{2}at^2$

$100=0+\frac{1}{2}\times a\times5^2$

Or $100=\frac{25}{2}a$

Or $25a=200$

Or $a=\frac{200}{25}$

Or $a=8\ m/s^2$

Therefore, acceleration is $8\ m/s^2$.

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Updated on: 10-Oct-2022

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