Q. For a projectile, the ratio of maximum height reached to the square of flight time is $(g = 10\ ms^{- 2})$

A) $5\ :4$
B) $5\ :2$
C) $5\ :1$
D) $10\ :1$
Explanation

(a) $H = \frac{u^{2}\sin^{2}\theta}{2g}\ $and $T = \frac{2u\sin\theta}{g}$
So $\frac{H}{T^{2}} = \frac{u^{2}\sin^{2}\theta/2g}{4u^{2}\sin^{2}\theta/g^{2}} = \frac{g}{8} = \frac{5}{4}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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