A boy whirls a stone in a horizontal circle of radius `1.5` m and at height 2 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after travelling a horizontally and strikes the ground after travelling a horizontal distance of 10 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion?

Explanation

To find the magnitude of the centripetal acceleration of the stone while it is in circular motion, we can follow these steps:

### Step 1: Understand the motion after the string breaks
When the string breaks, the stone will move horizontally with the velocity it had at the moment the string broke. It will then follow a projectile motion under the influence of gravity.

### Step 2: Calculate the time of flight
The stone falls from a height of 2 meters. We can use the formula for the vertical motion to find the time of flight (t):

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