Question

A basketball player must jump 1.2m in the air in order to dunk. What is the total time he is in the air?

Answer 1

0.98 [sec].

Step-by-step explanation:

1) the time when the player is moving up equals the time the player falls, it can be 't'. Then

2) the equation of moving down can be written as

`(g*t^2)/(2) =h, \ where`

g=10 [m/s²], t - time, h - the given height.

3) according to the formula above the time spent to moving down is:

`t=\sqrt{(2h)/(g)};`

`t=\sqrt{(2.4)/(10)}=√(0.24) =0.49[s].`

4) finally, the total time is t*2=0.98[sec].