Q. The speed of projection of a projectile is increased by 10%, without changing the angel of projection. The percentage increase in the range will be
A) 10%
B) 20%
C) 15%
D) 5%
Explanation
(b) $H = \frac{u^{2}\sin^{2}\theta}{2g}$
$dH = \frac{2u^{\ }\sin^{2}\theta}{2g}du$
$\therefore\ \ \frac{dH}{H} = \frac{2du}{u} = 2 \times \frac{1}{10}$
$\therefore$% increase in $H = \frac{dH}{H} \times 100$
$= \frac{2}{10} \times 100 = 20\%$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.