Chapter 04, Problem 046 Flying Circus of Physics In basketball, hang is an illus

Question

Chapter 04, Problem 046 Flying Circus of Physics In basketball, hang is an illusion in which a player seems to weaken the gravitational acceleration while in midair. The illusion depends much on a skilled player's ability to rapidly shift the ball between hands during the flight, but it might also be supported by the longer horizontal distance the player travels in the upper part of the jump than in the lower part. If a player jumps with an initial speed of vo -7.00 m/s at an angle of 8-35.0", what percent of the jump's range does the player spend in the upper half of the jump (between maximum height and half-maximum height)? Number the tolerance is +/-2% Question Attempts: 0 of 5 used u nights reserved DELL osertom Backspace elete End O P

Explanation / Answer

here,

v0 = 7 m/s

theta = 35 degree

let the maximum height be h

0^2 - (v0 * sin(theta))^2 = 2 * g * h

- ( 7 * sin(35))^2 = - 2 * 9.8 * h

h = 0.2048 m

half height , h1 = h/2

h1 = 0.1024 m

let the time taken be t

h1 = v0 * sin(theta) * t - 0.5 * g * t^2

0.1024 = 7 * sin(35) * t - 0.5 * 9.8 * t^2

t1 = 0.026 s

time of flight , t2 = (v0 * sin(theta)) /( g)

t2 = 0.4096 s

the percentage of Jump's range player spend in uper half to the jump , % = 50 %

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