Question

A 35-kg child starting from rest slides down a water slide with a vertical height of 20 m. What is the child’s speed a.)half-way down the slide’s vertical distance
b.) three-fourths the distance (ignoring friction)

Answer 1

Use energy equation
mgh=(1/2)mv²
to solve for v:
v=√(2gh)
for h=5m, g=9.8m/s²
v=√(2*9.8*5)
=9.9 m/s in the direction along the slide.

You can solve for other heights in a similar way.