A ball of radius 0.200 m rolls with a constant linear speed of 3.00 m/s along a horizontal table. the ball rolls off the edge and falls a vertical distance of 2.08 m before hitting the floor. what is the angular displacement of the ball while the ball is in the air

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Mathematics

Deborah Flores

16 January, 06:54

A ball of radius 0.200 m rolls with a constant linear speed of 3.00 m/s along a horizontal table. the ball rolls off the edge and falls a vertical distance of 2.08 m before hitting the floor. what is the angular displacement of the ball while the ball is in the air

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Krista Khan · Answer 1

Falling off the table the vertical distance doesn't depend on the horizontal velocity. Then the table height of 2.08 = (1/2) at^2 = 16t^2. t = 0.36 seconds to hit the floor.

During this time the velocity = 3x0.36 = 1.08 meters.

The angle it hits the floor is arcTan (2.08/1.08) = 62.6 degrees.