Physics 20: Planar kinematics

Question

A 150.0 kg mass is fired horizontally off a 50.0 m cliff with a velocity of 30.0 m/s.

a. Determine the time (in s) in the air before it hits the ground.

b. Determine the distance (in m) from the bottom of the cliff it lands.

Answer 1

a) h = gt²/2; t = √2h/g = √2·50m/9.8m/s² = 3.1944 s

b) Horisontal distance x = vt = 30m/s·3.1944 s = 95.83 m