Question

A basketball star covers 2.40 m horizontally in a jump to dunk the ball. His motion...

A basketball star covers 2.40 m horizontally in a jump to dunk the ball. His motion through space can be modeled precisely as that of a particle at his center of mass. His center of mass is at elevation 1.02 m when he leaves the floor. It reaches a maximum height of 1.75 m above the floor and is at elevation 0.850 m when he touches down again.

(a) Determine his time of flight (his "hang time").
s

(b) Determine his horizontal velocity at the instant of takeoff.
m/s

(c) Determine his vertical velocity at the instant of takeoff.
m/s

(d) Determine his takeoff angle.
° above the horizontal

(e) For comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations

yi = 1.20 m,

ymax = 2.70 m,

and

yf = 0.700 m.


s

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