Q.
Galileo writes that for angles of projection of a projectile at angles $(45 + \theta)$ and $(45 - \theta),\ $the horizontal ranges described by the projectile are in the ratio of $($if $\theta \leq 45)$
A) $2\ :1$
B) $1\ :2$
C) $1\ :1$
D) $2\ :3$
Explanation
(c) For angle $(45{^\circ} - \theta),R = \frac{u^{2}\sin(90{^\circ} - 2\theta)}{g} = \frac{u^{2}\cos{2\theta}}{g}$
For angle$\ (45{^\circ} + \theta),\ R = \frac{u^{2}\sin(90{^\circ} + 2\theta)}{g} = \frac{u^{2}\cos{2\theta}}{g}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.