College

A ball rolls off a 99.4 cm high table and hits the ground at a distance of 1.69 m from the base of the table. What is the vertical velocity of the ball right before it hits the floor?

Answer :

Final answer:

The vertical velocity of the ball right before it hits the floor is 4.91 m/s.


Explanation:

To calculate the vertical velocity of the ball right before it hits the floor, we can use the equation:


Vertical velocity = √(2 * acceleration due to gravity * height)


In this case, the height is 99.4 cm = 0.994 m. Acceleration due to gravity is approximately 9.8 m/s². Plugging these values into the equation:


Vertical velocity = √(2 * 9.8 * 0.994) = 4.91 m/s


Therefore, the vertical velocity of the ball right before it hits the floor is 4.91 m/s.


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