At the beginning of a basketball game, a referee tosses the ball straight up with a speed of 4.41 m/s. a player cannot touch the ball until after it reaches its maximum height and begins to fall down. what is the minimum time that a player must wait before touching the ball?

To develop this problem we will apply the linear motion kinematic equations. For this purpose we will define the change in speed as the product between acceleration and time.

The relation between initial velocity final velocity and time is

The acceleration is due to the acceleration due to gravity, then we have

At the maximum height the final velocity is zero. Then we have that

The time the player must wait before touching he ball is