Question

A scooterist sees a bus 1 km ahead of him moving with a velocity of $10m{s}^{-1}$. With what speed the scooterist should move so as to overtake the bus in 100 s?

• A. $10m{s}^{-1}$
• B. $20m{s}^{-1}$
• C. $50m{s}^{-1}$
• D. $30m{s}^{-1}$

Answer 1

The correct option is B $20m{s}^{-1}$

Given:

$t=100s$

$s=1000m$

$v=10m/s$

But this is the relative speed with respect to the bus.

$v_s$=actual velocity of the scooter

$v_b$=velocity of the bus

$v=$relative velocity of the scooter with respect to the bus.

$10=v_s-10$

So, $v_b=20m{s}^{-1}$