The velocity at which he leaves the floor is 4.25 m/s.
The kinematic expression is as follows:
v² = u² - 2as
where
u = initial velocity
v = final velocity
s = distance
g = acceleration due to gravity .
when he reaches a height of 0.77 m above the floor the final velocity = 0
acceleration due to gravity act opposite the initial direction of motion. So, -9.81 m/s.
v² = u² + 2as
0² - u² = 2 (- 9.81) × 0.77
- u² = 2 × - 9.81 × 0.77
multiply both sides by -1
u² = 2 × 9.81 × 0.77
u² = 15.107
u = √15.107
u = 4.2485762321
u = 4.25 m/s
The velocity at which he leaves the floor is 4.25 m/s.
To learn more about velocity, refer: brainly.com/question/18084516
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<u><em>[NOTE : THIS QUESTION IS INCOMPLETE. THE COMPLEE QUESTION IS:</em></u>
<u><em>a basketball player jumps straight up for a ball. to do this, he lowers his body 0.34 m and then accelerates through this distance by forcefully straightening his legs. this player leaves the floor with a vertical velocity sufficient to carry him 0.77 m above the floor. Calculate his velocity (in m/s) when he leaves the floor.]</em></u>