The discussion focuses on determining the velocity required for a basketball shot under ideal conditions, specifically with an initial height of 6 feet, a trajectory angle of 45 degrees, a range of 14 feet, and a hoop height of 10 feet. The relevant kinematic equations of motion are highlighted, including the equations for vertical and horizontal motion: y(t) = y0 + v0 sin(a) t - (1/2) g t² and x(t) = x0 + v0 cos(a) t. The user is guided to understand the components of vertical velocity (v_y) and how to apply these equations to solve for the unknown initial vertical velocity.
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Leonof said:Homework Statement
I don't know what equation to use. i am trying to find out the velocity need to make a shot. the conditions are ideal.
initial height: 6 feet
initial vertical velocity:unknown
angle of trajectory: 45 degrees
range: 14 feet
time:2 seconds
basketball hoop height: 10 feet
Leonof said:xt=x0 + v0 cos(a) t
y(t) = y0 + v0 sin(a) t - (1/2) g t^2
i don't understand what is meant by v_y(t)