Question

A man is $45m$ behind the bus when the bus starts accelerating from rest with acceleration $2.5m/s^2$. With what minimum velocity should the man start running to catch the bus?

• A. $12m/s$
• B. $14m/s$
• C. $15m/s$
• D. $16m/s$

Answer 1

Answer: (C)

$15m/s$

Given,

$u=0m/s$

$a=2.5m/s^2$

$s=45m$

From 3rd equation of motion,

$2as=v^2-u^2$

$v^2=u^2+2as$

$v^2=0^2+2\times 45\times 2.5=225$

$v=\sqrt{225}=15m/s$

The correct option is C.