A ball is thrown horizontally from a point 24m above the ground strikes the ground after travelling horizontally a distance of 18m with what speed vo was it thrown?

Question

asked May 13, 2021 124k views

1 Answer

Hoong · Answer 1 · 2021-05-18T07:00:43+0000

Answer:8.14 m/s

Step-by-step explanation:

Given

height from which ball is thrown is
$h=24\ m$

horizontal distance moved by ball
$x=18\ m$

suppose
u_x is the speed by which ball is thrown horizontally

thus

vertical distance traveled in time t is given by

h=ut+(1)/(2)at^2

24=0=(1)/(2)gt^2

$t=\sqrt{(2* 24)/(9.8)}$

$t=2.21\ s$

horizontal distance is given by

R=u_x* t

18=u_x* 2.21

$u_x=8.14\ m/s$