- #1

reb659

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## Homework Statement

A stone is swirled in a horizontal circle 1.00m above the ground by means of a string 2.00m long. The string breaks, and the stone files off horizontally and strikes the ground 15.0m away. What was the centripetal acceleration of the stone before the string breaks?

## Homework Equations

kinematics equations

## The Attempt at a Solution

First I calculated how long it took for the stone to fall 1 meter using h=1/2*g*t^2 since initial velocity is zero because its only rotating horizontally. I got a time of .672 seconds. Then I determined the speed necessary for the stone to travel 15m in this .672 seconds using d=v*t. I got v=22.32 m/s. I plugged this speed back into the equation for centripedal acceleration, v^2/r, and got an Ac of 249.0912 m/s^2.

Is this correct?