A basketball star covers 3.10 m horizontally in a jump to dunk the ball. His motion through space can be modeled precise
Posted: Mon Jul 18, 2022 5:45 am
A basketball star covers 3.10 m horizontally in a jump to dunkthe ball. His motion through space can be modeled precisely as thatof a particle at his center of mass. His center of mass is atelevation 1.02 m when he leaves the floor. It reaches a maximumheight of 1.80 m above the floor and is at elevation 0.940 m whenhe touches down again.
a. Determine his time of flight (his "hang time").
b. Determine his horizontal velocity at the instant oftakeoff.
c. Determine his vertical velocity at the instant oftakeoff.
d. Determine his takeoff angle.
e. For comparison, determine the hang time of a whitetail deermaking a jump with center-of-mass elevations yi = 1.20 m, ymax =2.35 m, and yf = 0.740 m
a. Determine his time of flight (his "hang time").
b. Determine his horizontal velocity at the instant oftakeoff.
c. Determine his vertical velocity at the instant oftakeoff.
d. Determine his takeoff angle.
e. For comparison, determine the hang time of a whitetail deermaking a jump with center-of-mass elevations yi = 1.20 m, ymax =2.35 m, and yf = 0.740 m