So, a gravity constant of -9.7938 m/s2 doesn't seem to be that much of a difference. But, you never know until you check.
Say our good friend Derrick Rose, who has a 40 inch vertical jump, were to jump in this situation.
To find the height he can jump with a lower gravity, I must first find the velocity at which he jumps off of the floor.
If I convert inches to meters, I have everything I need to plug it into some kinematics equations.
Plug it into the equation
At the top of his jump, v will equal 0. Thus, , and
Then, just plug it back into the same equation, but with the new gravity constant.
. The value of x is the new height he can jump. X turns out to be
WOW!!!! IF ALL THE PLANETS ALIGN, DERRICK ROSE CAN JUMP A WHOLE 1mm HIGHER!!!!!
Well, that's a little anticlimactic. So, what would the gravity need to be if he wants to jump 60 inches? (1.5 times what he can right now)