Q.
A particle is projected upwards. The times corresponding to height $h$ while ascending and while descending are $t_{1}$ and $t_{2}$ respectively. The velocity of projection will be
A) $gt_{1}$
B) $gt_{2}$
C) $g(t_{1} + t_{2})$
D) $\frac{g(t_{1} + t_{2})}{2}$
Explanation
(d) If $t_{1}$ and $t_{2}$ are time of ascent and descent respectively then time of flight $T = t_{1} + t_{2} = \frac{2u}{g}$
$\Rightarrow u = \frac{g(t_{1} + t_{2})}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.