Two projectiles are projected at 30^{circ} an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The formula for the maximum height $H$ attained by a projectile is given by $H = \frac{u^2 \sin^2 	heta}{2g}$.Since both projectiles are projecte

Vedclass · Accepted Answer

$1: 3$

Vedclass · Answer

(C) The formula for the maximum height $H$ attained by a projectile is given by $H = \frac{u^2 \sin^2 	heta}{2g}$.Since both projectiles are projected with the same speed $u$,the ratio of their maximum heights $H_1$ and $H_2$ is given by $\frac{H_1}{H_2} = \frac{\sin^2 	heta_1}{\sin^2 	heta_2}$.Given $	heta_1 = 30^{\circ}$ and $	heta_2 = 60^{\circ}$,we have $\sin 30^{\circ} = \frac{1}{2}$ and $\sin 60^{\circ} = \frac{\sqrt{3}}{2}$.Substituting these values,we get $\frac{H_1}{H_2} = \frac{(\sin 30^{\circ})^2}{(\sin 60^{\circ})^2} = \frac{(1/2)^2}{(\sqrt{3}/2)^2} = \frac{1/4}{3/4} = \frac{1}{3}$.Thus,the ratio is $1:3$.

Two projectiles are projected at $30^{\circ}$ and $60^{\circ}$ with the horizontal with the same speed. The ratio of the maximum height attained by the two projectiles respectively is:

Similar Questions

$A$ cannon on a level plane is aimed at an angle $\theta$ above the horizontal and a shell is fired with a muzzle velocity $v_0$ towards a vertical cliff a distance $D$ away. Then the height from the bottom at which the shell strikes the side walls of the cliff is

$A$ ball is thrown from the ground to clear a wall $3 \, m$ high at a distance of $6 \, m$ and falls $18 \, m$ away from the wall. The angle of projection of the ball is:

$A$ projectile is projected with kinetic energy $K$. If it has the maximum possible horizontal range,then its kinetic energy at the highest point will be ......... $K$.

If the time of flight of a bullet over a horizontal range $R$ is $T \ s$,the inclination of the direction of projection to the horizontal is

Two projectiles are fired from the same point with the same speed at angles of projection $60^\circ$ and $30^\circ$ respectively. Which one of the following is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module