⦁a baseball is struck by a bat 46 cm from the axis of rotation when the angular velocity of the bat is 70 rad/s. if the ball is hit at a height of 1.2 m at an angle of 45 degrees, will the ball clear a 1.2 m fence 110 m away (assume the initial velocity of the ball is the same as the linear velocity of the bat at the point at which it is struck?

No, the ball will not clear the fence.

Solution:

Angular velocity,

Height, h = 1.2 m

Angle,

Distance covered by the ball, d = 110 m

Length of the fence, l = 1.2 m

Radius of the axis, R = 46 cm = 0.46 m

Now,

To calculate the linear velocity of the ball, v:

Total time taken:

The distance at which the ball falls, with a = 0 is given by:

Since, the ball has to clear a fence 1.2 m long and a t a distance 110 m away, clearly it will not be able to cross it.

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