EX-13 A 2.00-m-tall basketball player is standing on the 1 Read the problem, draw a picture and chose reference frame. floor 10.0 m from the basket, as in the Figure. If he shoots x-comp the ball at a 40.0 angle with the horizontal, at what initial y-comp 2 speed must he throw the basketball so that it goes through a, =0 ay = -g the hoop without striking the backboard? The height of the Information about initial position and velocity at t = 0 basket is 3.05 m. 3 x = 0 yi = 2.00 Vxi = Vi Cos 40 Vyi = vi sin 40 Write down two equations relate to final position and velocity for a given time t. And fill in the information you have from step 3 40.00 t =? 2.00 y 3.05 m Vxf = Vi COS 40 4 Vyf =Vyi -gt m = v sin 40 - 10t X Xf - Xi + Vxit 1 - 0 + v cos 40% t yr = yi + Vyit -gt2 10 - 2.00 + v. sin 40' t - 10.0 m Xf = 10.0 yf = 3.05 5t2 - 8.36 + 2.00 = 3.05 Math skill 10.0 ut= = 13 t