Aboy whirls a stone in a horizontal circle of radius 1.50m and at height 2.00m above level ground. the string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 10.0m. what is the magnitude of the centripetal acceleration of the stone during the circular motion?

Explanation:

The time the stone takes to fall can be calculated considering only the vertical component with the formula:

Taking the inital height as 0m and downward direction positive, since it departs from (vertical) rest we have:

Which gives us a time:

Horizontally, on that time the stone travelled a distance x=10m, which means its horizontal speed was:

Since this speed is the tangential velocity while whirling, the centripetal acceleration of the stone was:

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