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

Answer:

0.84 m

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

$t=\sqrt{\frac{2h}{g}}$

Where $g=9.8 m/s^2$

$t=\sqrt{\frac{2\times 1.8}{9.8}}=0.6 s$

$v=\frac{distance}{time}=\frac{2.43}{0.6}=4.05 m/s$

$h'=\frac{v^2}{2g}$

$h'=\frac{(4.05)^2}{2\times 9.8}$

$h'=0.84 m$