Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be `0^@ltthetalt180^@`. During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions:
A body is projected at angle of `30^@` and `60^@` with the same velocity. Their horizontal ranges are `R_1` and `R_2` and maximum heights are `H_1 and H_2`, respectively, then
A body is projected at angle of `30^@` and `60^@` with the same velocity. Their horizontal ranges are `R_1` and `R_2` and maximum heights are `H_1` and `H_2`, respectively, then

Options

A. `R_1/R_2gt1`
B. `H_1/H_2gt1`
C. `R_1/R_2lt1`
D. `H_1/H_2lt1`

Answer

D

Explanation

d. Ranges will be same .`H_1/H_2 = (sin^2theta_1)/(sin^2theta_2)`.