A basketball is shot as depicted above. You can watch it in slow motion by adjusting the slider.[br][br]If the basketball has a radius of [math]0.4ft[/math] and is shot at from a height of [math]8ft[/math] at an angle of [math]\pi/4[/math] radians with velocity of [math]24\frac{ft}{s}[/math], find the parametric equations describing its motion. Simplify what you can. [br][br]You can check this by typing the equations in the boxes above to make sure it matches the black line.[br]Typically, when a basketball is shot, it has backspin on it.[br]Write the parametric equations that would describe the motion of the point [math]P[/math] starting at the top of the basketball and moving counterclockwise, if the basketball completes 4 revolutions each second. For these equations, assume the center of the basketball is at the origin.[br][br]Now add your two pairs of equations together to trace the path of point [math]P[/math] as the basketball is in flight.[br]Type your equations into the boxes for [math]x(t)[/math] and [math]y(t)[/math] to see if you are correct. Your equation will be plotted in blue.