Question

A body of mass 20kg was projected into space at an angle of 40° calculate
(a)time taken to reach the maximum height
(b)the maximum height reached
(c)the range

Answer 1

When body is launched with initial velocity $v_0$ at the angle $\theta$ to horizon, then

(a) time taken to reach the maximum height

$$t=\frac{v_0\sin\theta}{g}$$

(b) the maximum height reached

$$h_{\rm max}=\frac{v_0^2\sin^2\theta}{2g}$$

(c) the range

$$R=\frac{v_0^2\sin 2\theta}{g}$$