Rebound Physics & Calculus Problem

[Jeks945]

A basketball player, standing near the basket to grab a rebound, jumps 69.4 cm vertically.
1. How much time does the player spend in the top 13.6 cm of his jump?
2.How much time does the player spend in the bottom 13.6 cm of the jump?


Can anyone help me with this Physics & Calculus Problem?

I know that acceleration = 9.8 m/s^2. The distance from the 13.6cm point to 69.4cm = 55.8. The initial velocity or speed is 2(9.8)(0.558)= 3.307 m/s. I have a list of formulas, but don't know what to do.

 

[Deleted member 4993]

A basketball player, standing near the basket to grab a rebound, jumps 69.4 cm vertically.
1. How much time does the player spend in the top 13.6 cm of his jump?
2.How much time does the player spend in the bottom 13.6 cm of the jump?


Can anyone help me with this Physics & Calculus Problem?

I know that acceleration = 9.8 m/s^2. The distance from the 13.6cm point to 69.4cm = 55.8. The initial velocity or speed is 2(9.8)(0.558)= 3.307 m/s. I have a list of formulas, but don't know what to do.

It is NOT a calculus problem!

Use the formula (or something similar)

First calculate the initial velocity of the player using Galileo's 3rd equation

v² = u² + 2 g * s

S = u * t + 1/2 * g * t²

Then calculate the time needed for the player to jump- up to 69.4 cm and come back to ground.

Then calculate the time to jump to 13.6 cm.

Now draw sketch of the motion of the player .... and think..

If you still cannot finish the problem - come back and show us your work and discuss your thoughts...