Question

A bullet is fired directly upward with an initial speed of 12 m/s from the edge of a cliff of height h = 30 m.
a. Find the maximum height the bullet reaches.
b. How long does it take the bullet to pass the cliff on its way back?
c. What is the bullet’s velocity as it hits the ground?

Answer 1

a) $H=h+\frac{v_0^2}{2g}=30+\frac{12^2}{2×9.81}=37.34m$

b) $t=2t_1=2×\frac{v_0}{g}=2×\frac{12}{9.81}=2.45s$

c) $v=\sqrt{2gh}=\sqrt{2×9.81×37.34}=27.1\frac{m}{s}$