With what vertical velocity does the ball land?

Question

A baseball player throws a baseball with a horizontal velocity of 100m/s west. The ball hits the ground 0.5 seconds later.With what vertical velocity does the ball land?

 

SHOW WORK PLEASE

Answer 1

Vertical velocity (call it v_y) can be written as vy = v_y0 + at. In this problem, the ball starts with zero vertical velocity (v_y0 = 0) and using up as the positive y-direction, the acceleration is a = -g = -9.8 m / s². Thus, the answer is

 

v_y = (-9.8 m / s²)(0.5 s) = -4.9 m / s