What Equation Determines the Velocity for a Basketball Shot?

[Leonof]

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

Homework Equations

The Attempt at a Solution

 

[berkeman]

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

Welcome to the PF. The Relevant Equations are the kinematic equations of motion for a constant acceleration (the acceleration due to gravity). Can you list those for us?

v_y(t) = _________

y(t) = __________

And you have a constant velocity in the x direction, so you can write:

x(t) = __________

 

[Leonof]

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)

 

[berkeman]

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)

Good start. v_y is shorthand for the velocity in the y direction. Written more clearly in Latex:

v_y

 

[Leonof]

v_y=vsin0-(gx/vcos0)

 

[Leonof]

so 14+4cos45*2=18.2
-> 4sin45-(g*18.2/4cos45)?