Question

A car starts form rest and accelerates uniformly over a time of $5$ seconds for a distance of $110\text{m}$. The acceleration of the car will be

• A. $3.26{\text{ms}}^{-2}$
• B. $9.8{\text{ms}}^{-2}$
• C. $8.8{\text{ms}}^{-2}$
• D. $7.29{\text{ms}}^{-2}$

Answer 1

The correct option is C $8.8{\text{ms}}^{-2}$

Given, $u=0,t=5s,s=110\text{m}$
Using $2^{nd}$ equation of motion, we have
$s=ut+\frac{1}{2}a{t}^2=0+\frac{1}{2}\times a\times (5{)}^2$
$\Rightarrow 110=\frac{1}{2}\times a\times (5{)}^2$
$a=8.8{\text{ms}}^{-2}$