Question

A 0.1kg ball starts from rest and rolls 5.8m down a short ramp so that it drops 1.8m vertically. Calculate the speed of the ball at the bottom of the ramp

Answer 1

The speed at the bottom is can be found from conservation of energy:

$$\dfrac12mv_f^2=mgh,\\\space\\ v_f=\sqrt{2gh}=5.94\text{ m/s}.$$