Ignoring air resistance,what maximum speed can be given to a horizontally moving tennis ball as it clears the net 1.25 m high to remain within the edge of the court,which is 12.0 m from the bottom of the net?
A)12.0 m/s
B)16.0 m/s
C)24.0 m/s
D)48.0 m/s

Question

Quizplus · Accepted Answer

To find the maximum speed, we use the kinematic equations. The time it takes for the ball to fall 1.25 m is determined by the equation $ h = \frac{1}{2}gt^2 $, where $ g = 9.8 \, \text{m/s}^2 $. Solving for $ t $, we get $ t = \sqrt{\frac{2h}{g}} \approx 0.5 \, \text{s} $. The horizontal distance is 12.0 m, so the horizontal speed $ v = \frac{d}{t} = \frac{12.0}{0.5} = 24.0 \, \text{m/s} $.

Ignoring Air Resistance,what Maximum Speed Can Be Given to a Horizontally