Question

A ball is thrown horizontally from the top of a building 21.8 m high. The ball strikes the ground at a point 101 m from the base of the building. The acceleration of gravity is 9.8 m/s 2 . Find the time the ball is in motion. Answer in units of s. 008 (part 2 of 4) 10.0 points Find the initial velocity of the ball. Answer in units of m/s.

Answer 1

t=2.10 s

u= 47.40 m/s

Step-by-step explanation:

given that

h= 21.8 m

x= 101 m

g=9.8 m/s²

Lets take horizontal speed of ball = u m/s

The vertical speed of the car at initial condition is zero ( v= 0).

We know that

`h=vt+(1)/(2)gt^2`

v= 0 m/s

`h=(1)/(2)gt^2`

now by putting the values

21.8 = 1/2 x 9.8 x t²

t=2.10 s

This is time when ball was in motion.

Now in horizontal direction

x = u .t

101 = u x 2.1

u= 47.40 m/s