Physics

First, determine the velocity of the ball at the moment the string breaks:

At the lowest point of the circular motion, the forces acting on the ball are:

- Tension in the string: (given)

- Gravitational force:

- Centripetal force equation: 

The net force providing centripetal acceleration is given by:

So, the ball has a horizontal velocity of 8 m/s when the string breaks.

 

Then, determine the time of flight:

After the string breaks, the ball follows projectile motion. It falls freely from the height of m (since the center of the circular path is 6 m above the ground, and the radius is 1 m, the lowest point is 1 m above the ground).

 

Using the free-fall equation:

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