Basketball player Kadour Ziani is purported to have the world record in the Stan
ID: 2171041 • Letter: B
Question
Basketball player Kadour Ziani is purported to have the world record in the Standing Vertical Jump at 1.55 m (61 inches) off the ground. If he weighs 845 N, what is his vertical take off speed as his feet leave floor to achieve that height in m/s? Express your answer in m/s to 3 sig figs.B) If the time of the part of the jump before his feet left the floor was 0.300 s, what was the magnitude of his upward, average acceleration while he was pushing against the floor? Express your answer in m/s2 to 3 sig figs.
C) Use Newton's Laws and your previous results to find the average force that he applies to the ground. Express your answer in N to 3 sig figs.
Explanation / Answer
use the work energy equation
let the speed be v
then 1/2mv^2-mgh=0so v=sqrt2gh=sqrt(2*10*1.2)=sqrt24m/s=4.8m/…
during .300s he is acted upon by an impulsive force which causes change in momentum . we know f*t=mv-mu
so the force(impulsive)is 89*4.8units
again p=mf(p=force and f=acceleration) so the acceleration is (89*4.8/.300/89)m/s^2=16m/s^2
so the results are 4.8m/s and 16m/s^2
the acceleration is in upward direction.
we have upward force due to upward acceleration and downward force due to gravity. =>
Fnet = ma - mg = m ( a-g ) = 98 (12.2 - 6.81)
Fnet = 528.22 N
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