Q. A body dropped from top of a tower fall through 60 m during the last two second of its fall. The height of tower is $\left( g = 10\ {ms}^{- 2} \right)$

A) 95 m
B) 60 m
C) 80 m
D) 90 m
Explanation

(c) Let body reaches the ground in $t$ sec.
$\therefore$ Velocity of body after $(t - 2)$ sec from equation of motion.
$v = u + gt'$
And $t^{'} = t - 2\ $
$\therefore v = g(t - 2)$
Distance covered in last two sec
$h^{'} = g(t - 2) \times 2 + \frac{1}{2}g(2)^{2}$
$60 = 20(t - 2) + 20$
Or $t = 4\ s$
Hence, height of tower is given buy
$h = ut + \frac{1}{2}gt^{2}$
$h = \frac{1}{2}gt^{2}\lbrack\therefore u = 0\rbrack$
$\ \ \ = \frac{1}{2} \times 10 \times (4)^{2} = 80\ m.$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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