Question

A ball is thrown straight up from ground level. It passes a 2-m-high window. The bottom of the window is 7.5 m off the ground. The time that elapses from when the ball passes the bottom of the window on the way up, to when it passes the top of the window on the way back down is 1.3 s.

What was the ball’s initial speed, in meters per second?

Answer 1

`u=14.48m/s`

Step-by-step explanation:

From the question we are told that:

Height of window
`h=2m`

Height of window off the ground
`h_g=7.5m`

Time to fall and drop
`t=1.3s`

Generally the Newton's equation motion is mathematically given by

`s=ut+(1)/(2)at^2`

Where

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

`2=u1.3-(1)/(2)*9.8*1.3^2`

`2=u1.3-8.281`

`u=7.91m/s^2`

Generally the Newton's equation motion is mathematically given by

`2as=v^2-u^2`

Where

`-2gh_g=v^2-u^2`

`-2*9.8*7.5=(7.91)^2-u^2`

`-147=62.5681-u^2`

`u=√(209.5681)`

`u=14.48m/s`

Therefore the ball’s initial speed

`u=14.48m/s`