Question

Children slide down a friction-less water slide that ends at a height of 1.80 m above the pool. If a child starts from rest at point A and lands in the water at point B, a horizontal distance L = 2.43 m from the base of the slide, determine the height h of the water slide.

Answer 1

0.84 m

Step-by-step explanation:

0.84 m

Explanation:

We are given that

Height,h=1.80 m

Horizontal distance,L=2.43 m

We have to determine the height h of the water slide.

Initial velocity,u=0

`t=\sqrt{(2h)/(g)}`

Where
`g=9.8 m/s^2`

`t=\sqrt{(2* 1.8)/(9.8)}=0.6 s`

`v=(distance)/(time)=(2.43)/(0.6)=4.05 m/s`

`h'=(v^2)/(2g)`

`h'=((4.05)^2)/(2* 9.8)`

`h'=0.84 m`