I need with these physics questions A goal tending call in NBA basketball occurs

Question

I need with these physics questions

A goal tending call in NBA basketball occurs when a shot, is defended once the trajectory of the ball begins its descent towards the basket. This means a defender cannot make contact with the ball after it has reached its apex. A shooting guard takes a jump-shot from a height of 2.05 m, with the shot making a 60 degree angle with respect to the horizontal. At its apex the ball would reach a height of 3.55 m. The basket's height is 3.05 m. Use 9.8 m/s^2 for acceleration of gravity. Find the initial velocity of the ball as it leaves the guard's hands. How far from the basket must a center, trying to block the shot, be to avoid being called for goal tending. How far from the basket is the guard shooting the ball?

Explanation / Answer

(1) Apply v2=u2+2as upto maximum height where vertical velocity=0

0=uy2-2g(3.55-2.05)

uy=5.422 ms-1

But u*sin(60)= uy =8.341

velocity(u)= 6.261 ms-1

2) Apply v=u+at for the apex

0=uy-9.8*t ; t=0.553 s

Apply s=ut horizontally,

distance to the apex (d)= u*cos(60)*t = 1.731 m

s=ut+at2/2 from apex to the basket

(3.05-3.55) = 0 -gt2/2 ; t=0.319 s

Apply s=ut from apex to bascket

s= u*cos(60)*t =0.999

center should try to block before its get ot the apex meaning guard should be standing no less than 0.999 m form the shooter

3)

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