Calculating Vo for a Basketball Shot at 40 Deg Angle

[warjunkie]

A 2.00m tall basket ball player is standing on the floor 10m from the basket. If he shoots the ball at 40 degrees angle with the horizontal, at what initial speed must he throw the basketball so that i goes through the hoop? The height of the basket is 3.05m.

Here how do i calculate for Vo?
i get t=10/(VoCOS40) and 1.05=(VoSIN40)t - 4.9t^2

 

[Kurdt]

Substitute that t into your y distance equation and do some manipulation so that V₀ is the subject.