SOLUTION: if carter peak height at the basket of leaped for a dunk and reached a 1.07m, what was his upward velocity in meters per second at the monent his feet left the floor: and find the

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Question 824808: if carter peak height at the basket of leaped for a dunk and reached a 1.07m, what was his upward velocity in meters per second at the monent his feet left the floor: and find the amount of time he was in the air?
v1^2=v^20 +2gS
S=1/2 gt^2+v0t

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
IF THIS IS PHYSICS:
Since movement is along a straight line, we can indicate direction (upwards or downwards) by assigning a positive sign to measures of displacement, velocity, and acceleration in one direction. Displacement, velocity, and acceleration in the opposite direction are assigned a negative sign. It does not matter which direction is taken as the positive direction, as long as you do not forget halfway through the problem.

I say upwards is the positive direction.
I say position 0 is the start of the leap,
and position 1 is at the top of the leap.
S=1.07m is the positive displacement of the leaper (distance from floor to feet) at the highest point of the leap, position 1.
t is the time rising to the top of the leap,
g=-9.8%22m%2F%22+s%5E2 is the acceleration (negative because it is downwards),
v%5B0%5D%3E0 is the velocity at the start of the leap, position 0.
v%5B1%5D=0 is the velocity at the top of the leap, position 1.

IF THIS IS JUST MATH:
You've been given two magical formulas:
v%5B1%5D%5E2=v%5B0%5D%5E2%2B2gS and S=v%5B0%5Dt%2B%281%2F2%29gt%5E2 .
Since you do not know t , you'll have to use v%5B1%5D%5E2=v%5B0%5D%5E2%2B2gS
Substituting the values listed above, with meters and seconds in the units,
0%5E2=v%5B0%5D%5E2%2B2%28-9.8%29%2A1.07
0=v%5B0%5D%5E2-20.972
v%5B0%5D%5E2=20.972
v%5B0%5D=sqrt%2820.972%29
highlight%28v%5B0%5D=4.6%29%22m%2Fs%22

IF THIS IS PHYSICS:
v%5B1%5D=v%5B0%5D%2Bgt and S=v%5B0%5Dt%2B%281%2F2%29gt%5E2
do not seem useful by themselves
%28v%5B1%5D%2Bv%5B0%5D%29%2F2 is the average velocity, so S=%28v%5B1%5D%2Bv%5B0%5D%29t%2F2 .
From there we can get to S=v%5B0%5Dt%2B%281%2F2%29gt%5E2, but we can also get to v%5B1%5D%5E2=v%5B0%5D%5E2%2B2gS .
S=%28v%5B1%5D%2Bv%5B0%5D%29t%2F2-->2S=%28v%5B1%5D%2Bv%5B0%5D%29t-->t=2S%2F%28v%5B1%5D%2Bv%5B0%5D%29
Substituting 2S%2F%28v%5B1%5D%2Bv%5B0%5D%29 for t into v%5B1%5D=v%5B0%5D%2Bgt we get
v%5B1%5D=v%5B0%5D%2B2gS%2F%28v%5B1%5D%2Bv%5B0%5D%29
v%5B1%5D-v%5B0%5D=2gS%2F%28v%5B1%5D%2Bv%5B0%5D%29
%28v%5B1%5D-v%5B0%5D%29%28v%5B1%5D%2Bv%5B0%5D%29=2gS
v%5B1%5D%5E2-v%5B0%5D%5E2=2gS
v%5B1%5D%5E2=v%5B0%5D%5E2%2B2gS