Question

The final velocity of a body starting from rest and moving with an acceleration $2{ms}^{-2}$ and covering a distance of 10 m is _____ ${ms}^{-1}$.

• A. $\sqrt{98}$
• B. $\sqrt{40}$
• C. $\sqrt{20}$
• D. $\sqrt{12}$

Answer 1

The correct option is B $\sqrt{40}$

Initial velocity $u=0m/s$
Let final velocity be $v$.
Acceleration $a=2m/s^2$
Distance covered $S=10m$
Using $v^2-u^2=2aS$
$\therefore$ $v^2-0=2\times 2\times 10$
$⟹v=\sqrt{40}m/s$