A boy whirls a stone of small mass in a horizontal circle of radius `1.5m` and at height `2.9m` above level ground. The string breaks and the stone flies off horizontally and strikes the ground after travelling a horizontal distance of `10m` . What is the magnitude of the centripetal acceleration of the stone while in circular motion ?

Explanation

Time period `t=sqrt((2h)/(g))=sqrt((2xx2)/(9.8))=0.64s`
`rArr" Linear velocity v"=(10)/(t)=15.63ms^(-1)`
`therefore` Centripetal acceleration `a=(v^(2))/(R)=163ms^(-2)`