Question

A ball thrown horizontally at 25.0 m/s from the roof of the building that is 40.0 m height. How far from the base of the building will the ball be landing?

Answer 1

Given,

The initial velocity of the ball in a horizontal direction,

The initial velocity of the ball in a vertical direction,

The height of the building, h = 40 m

For the vertical motion of the ball, from the equation of the motion,

where t = time taken by the ball to reach the ground

g = acceleration due to gravity =

For the horizontal motion of the ball,

where x = distance traveled by the ball in the x-direction

  

Hence the ball will land 71.42 meters away from the building.