Answer to Question #255096 in Physics for Enqu G

Question

A stone throws horizontally with a certain initial velocity from a top of building. If the stone takes 3 sec to hit the ground 60m from the bottom of the building then find

1-initial velocity of the stone

2-the hight if the building

3-the horizontal and the vertical components of the velocity

Answer 1

The initial velocity:

$$v=R/t=60/3=20\text{ m/s}.$$

The height:

$$h=gt^2/2=44.1\text{ m}.$$

The horizontal component is the same, while the vertical component is

$$v_y=\sqrt{2gh}=29.4\text{ m/s}.$$