How could you mathematically estimate the maximum height you can throw a ball vertically upward? How would you estimate the maximum speed you could give it?

1) Throw the ball straight in the air and time how long it takes the ball to travel out of your hand then back into your hand at the same height it was released at.

2) Use this time and divide it by two to get t1. Insert t1 into the formula y=(g(t1)^2)/2. Solve for y.

3) To find the maximum speed you take t1 and insert it into the formula Vy=G(t1) and solve for Vy.

4) Remember to ignore air resistance and that g=9.8 m/(s^2)

Explanation: