A basketball player stands 15m away from the basket to make a 3-point shot. The basket is 3m (10 ft) above the ground. Assume the ball leaves the player's hands at a height of 2m, and with velocity vector Vo=(Vox, Voy)?
a) what is the minimum initial y-direction velocity (Voy) needed for the ball to just barely reach the height of the basket?
b) in the scenario of part a), say the ball has Voy initial y-direction velocity. What should Vox be in order for the player to make the shot? (give your answer in terms of general Voy before plugging in the numbers!)
c) Would Voy from part a) be larger or smaller if the player was throwing the ball on the Moon? why?
a) what is the minimum initial y-direction velocity (Voy) needed for the ball to just barely reach the height of the basket?
b) in the scenario of part a), say the ball has Voy initial y-direction velocity. What should Vox be in order for the player to make the shot? (give your answer in terms of general Voy before plugging in the numbers!)
c) Would Voy from part a) be larger or smaller if the player was throwing the ball on the Moon? why?
1 Answer
I got this; however I am not sure I interpreted the question correctly...
Explanation:
Consider the diagram:
where:
Let us divide our problem into a component along the
Let us start considering the initial vertical component of
we can consider the expression from Kinematics:
with:
we get:
so that:
Let us now use the relationship from Kinematics:
Let us now consider part b; to get
Along
where
So we end up with:
On the Moon
so that: