Q.
Two cars move in the same direction along parallel roads. One of them is a 100 m long travelling with a velocity of $7.5ms^{- 1}$. How long will it take for the first car to overtake the second car?
A) 24 s
B) 40 s
C) 60 s
D) 80 s
Explanation
(a) From the figure, the relative displacement is
[image:3_image167.emf]
$s_{rel} = (200 + 100)m = 300m$
$v_{rel} = v_{1} - v_{2} = (20 - 7.5)ms^{- 1}$
$= 12.5ms^{- 1}$
$\therefore t = \frac{s_{rel}}{v_{rel}} = \frac{300}{12.5} = 24$s
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.