Question

A boy whirls a storm in a horizontal circle of radius 1.5 and a Height 2 meter above level ground. The string breaks, and the stone flies off horizontally and Strikes the ground after traveling horizontally a distance of 10 meter. What is the magnitude of the centripetal acceleration of the stone during the circular motion?

Answer 1

Time of flight:

$$t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2(2)}{9.8}}=0.639\ s$$

$$v=\frac{d}{t}=\frac{10}{0.639}=15.6\frac{m}{s}$$

The magnitude of the centripetal acceleration of the stone during the circular motion:

$$a=\frac{v^2}{r}=\frac{15.6^2}{1.5}=160\frac{m}{s^2}$$