Question

A child on a swing falls a height of 1m. What speed will the child reach?

Answer 1

Answer:$v=4.42\ m/s$

Explanation:

Given

Child falls a height of $h=1\ m$

Applying conservation of energy  we can write

Loss in Potential energy=Gain in kinetic energy

$mgh=\frac{1}{2}mv^2$

$v=\sqrt{2gh}$

$v=\sqrt{2\times 9.8\times 1}$

$v=\sqrt{19.6}$

$v=4.42\ m/s$

Thus child reaches a velocity of 4.42 m/s