Question

A cannon shoots a projectile horizontally (x) at 50 m/s from the top of a 70 m tall cliff

a. How much time does it take the projectile to reach the ground?

b. What is the range (dx) of the projectile?

Answer 1

We have given,

$u_x = 50m/s$

$d= 70m$

a.) $y = u_yt+ \dfrac{1}{2}gt^2$

$70 = \dfrac{1}{2}(9.8)(t)^2$

$t^2 = \dfrac{70 \times 2}{9.8}$

$t = 3.77s$

b.)$Range = u_x \times t$

$= 50 \times 3.77$

$= 188.98m$