Q. Two projectile are thrown with the same initial velocity at angles $\alpha$ and $(90{^\circ} - \alpha)$ with the horizontal. The maximum heights attained by them are $h_{1}$ and $h_{2}$ respectively. Then $\frac{h_{1}}{h_{2}}$ is equal to
A) $\sin^{2}\alpha$
B) $\cos^{2}\alpha$
C) $\tan^{2}\alpha$
D) 1
Explanation
(c) $h_{1} = \frac{v^{2}\sin^{2}\alpha}{2g},\ h_{2} = \frac{v^{2}\cos^{2}\alpha}{2g},\frac{h_{1}}{h_{2}} = \tan^{2}\alpha$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.