A man is 45 m behind the bus, when the bus start accelerating from rest with-acceleration 2.5 m/s2 . With what minimum velocity should the man start running to catch the bus?

Question

A man is 45 m behind the bus, when the bus start accelerating from rest with-acceleration 2.5 m/s2 . With what minimum velocity should the man start running to catch the bus? (A)  12 m/s  (B)  14 m/s  (C)  15 m/s  (D)  16 m/s

Tardigrade Admin · Accepted Answer

In order that the man catches the bus, let his minimum velocity be

v

, then from equation of motion

v^{2} = u^{2} + 2 a s

We have,

u = 0

(initial velocity),

a = 2.5 m / s^{2}

s = 45 m

∴ v^{2} = 2 \times 2.5 \times 45

\Rightarrow v = 225 = 15 m / s

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

$12 m / s$

$14 m / s$

$15 m / s$

$16 m / s$

In order that the man catches the bus, let his minimum velocity be $v$ , then from equation of motion
$v^{2} = u^{2} + 2 a s$
We have, $u = 0$ (initial velocity),
$a = 2.5 m / s^{2}$
$s = 45 m$
$∴ v^{2} = 2 \times 2.5 \times 45$
$\Rightarrow v = 225 = 15 m / s$

Q. A man is 45m behind the bus, when the bus start accelerating from rest with-acceleration 2.5m/s2 . With what minimum velocity should the man start running to catch the bus?

12m/s

14m/s

15m/s

16m/s