Question

In: Physics

A boy tosses a football upward. If the football rises a vertical distance of 6.9m and...

A boy tosses a football upward. If the football rises a vertical distance of 6.9m and the boy catches it at the same point he released it, what is the velocity of the ball just before he catches it? (Assume upward is the positive direction. )

Solutions

Expert Solution

While the ball is in air, acceleration of the ball is acceleration due to gravity

Since the ball is caught at the point of projection displacement is zero.

Using the equation

as

Hence

Since direction of initial and final velocity are opposite to each other.

________________________________________

Now applying the same equation, at top and bottom of trajectory

velocity at the top is

Displacement

Initial velocity is

____________________________________________________

Final velocity is

Negative sign indicates that velocity is downwards


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