A basketball star covers 2.85 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 0.860 m when he touches down again. (a) Determine his time of flight (his "hang time"). (b) Determine his horizontal velocity at the instant of takeoff. m/s (c) Determine his vertical velocity at the instant of takeoff. m/s

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A basketball star covers 2.85 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 0.860 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 y; = 1.20 m, max = 2.55 m, and y₁ = 0.700 m.
S
Transcribed Image Text:A basketball star covers 2.85 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 0.860 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 y; = 1.20 m, max = 2.55 m, and y₁ = 0.700 m. S
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