Question

Children slide down a frictionless 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 = 2.42 m from the base of the slide, determine the height h of the water slide.

Answer 1

Answer:0.813 m

Explanation:

Given

height at which slide ends is h=1.8 m

Horizontal distance L=2.42 m moved by child from slide base to pool

At slide end Child has only horizontal velocity

horizontal velocity is given by $u=\sqrt{2gH}$

where H=height of slide

time taken by child to complete 1.8 m height

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

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

$t=0.606 s$

Horizontal distance moved in this time

$L=2.42=u\times t$

$2.42=\sqrt{2gH}\times 0.606$

$\sqrt{2gH}=3.99$

$H=0.813 m$