Kinematics Problem: Finding Initial Velocity of a Basketball Thrown at an Angle

[Mgh3]

Hey, so I've been having some problems with Kinematics in reviewing for my finals next week! One question in particular I need help with, because I don't know how to solve it, and I am very bad at conveying my solutions on tests. Can anyone give me a hand? The question is : a basketball player is standing 9.5m from the basket which is at a height of 3.1m. She throws the ball from an initial height of 2.0m at an angle of 35 degrees above horizontal. The ball goes straight through the basket. Find v initial.

 

[NasuSama]

Be sure to use the HW template, which every user must use to get HW Help. You also need to know what you tried so far, so we can assist you.

 

[BvU]

You want to know how to solve it. Think of a few things you should have learned in this context and apply them in a reasonable manner.
There is a constant force in the vertical direction, so you get an expression for height as a function of time. Take t_throwing = 0 and leave t_ball_in_hoop as unknown.
No force horizontally, so: uniform motion at a constant speed. Two expressions with two unknowns only: t_ball_in_hoop and v_initial. Solve for v_initial.
By the way, I agree with NasuSama: you get better help if the helpers see what you've done by yourself and where you get stuck.