83. A racquet ball is struck in such a way that it leaves the

racquet with a speed of 4.87 m/s in the horizontal

direction. When the ball hits the court, it is a horizontal

distance of 1.95 m from the racquet. Find the height of

the racquet ball when it left the racquet.

0.7864m

Explanation:

Ignore air resistance (the ball's horizontal speed stays constant), the time it takes for the ball to travel 1.95 m horizontally at the rate of 4.87 m/s.

t = 1.95 / 4.88 = 0.4s

This is also the time it takes to fall vertically with gravitational acceleration of g = 9.81 m/s2. We can use the following equation of motion to estimate the vertical distance: