What is the Maximum Height a Basketball Reaches When Thrown Upward?

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To determine the maximum height a basketball reaches when thrown upward with an initial speed of 5.0 m/s from a height of 1.5 m, the acceleration due to gravity (9.8 m/s²) is essential. The basketball will momentarily stop at its peak height before descending. Using kinematic equations, the maximum height can be calculated, resulting in a total height of 2.8 m above the floor. The problem emphasizes the importance of understanding initial velocity, acceleration, and the concept of final velocity at the peak of the motion. This analysis illustrates the physics behind projectile motion in basketball.
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A referee throws a basketball veritcally upward with an initial speed of 5.0m/s. Determine the maximum height above the floor reached by the basketball if it starts from a height 1.5m


How do you solve this problem? I have tried but I just don't seem to have enough information. I know acceleration due to gravity is 9.8m/s. I need at least time, initial velocity and acceleration to solve this but I really have no clue how to solve this.

The asnwer is 2.8m
 
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An object thrown upward stops for an instant before it falls back down, so you can make a statement about the final velocity of the upward part of the motion.
 
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