Q. A bus start from rest with an acceleration of$\ 1\ ms^{- 2}$. A man who is 48m behind the bus starts with a uniform velocity of $10ms^{- 1}$. The minimum time after which the ma will catch the bus

A) 4.8 s
B) 8 s
C) 10 s
D) 12 s
Explanation

(b) $10t = 48 + \frac{1}{2} \times 1 \times t^{2}$ or $t^{2} - 20t + 96 = 0$
or $t^{2} - 8t - 12t + 96 = 0$ or $t(t - 8) - 12(t - 8) = 0$
or $(t - 12)(t - 8) = 0$ or $t = 8$ s or 12 s
But we are interested in minimum time.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.