LeBron James consults you about a shot he is considering. Running towards the ba

Question

LeBron James consults you about a shot he is considering. Running towards the basket, he wants to jump up and release the basketball with only a horizontal velocity component. You observe him during practice and estimate that he can release the ball reliably at a height of 3.45 m above the floor (0.45 m higher than the hoop) with a horizontal velocity of 10 m/s. We ignore air resistance and use a coordinate system with a horizontal x-axis and the y-axis pointing up. Please use g 10 m/s2 (a) The initial velocity of the ball is given by (o) The inial velocity of the bal is given by [A] yro = 10 m/s and vy0-0 [B] v:0 _ 0 and yo = 10 m/s [C] yr,-10 m/s and W -10 m/s [D] vx0-10 m/s and vy,--10 m/s [B] 1r0 = 5 m/s and vv) = 5 m/s (b) The acceleration of the ball is given by [B] a,--g and ay-0 [E] none of the these [C] ax-0 and ay =-g [A] ar-0 and ay = 0 [D] ar--g and ay =-g e i e of these (c) Find the time until the ball reaches the height of the hoop. [A] 0.045 s [B] 0.09 s [C] 0.3 s ID] 1.0 s [E] none of these (d) What is the horizontal velocity when the ball reaches the hoop? [A]0 [B] 7 m/s [C] 9.1 m/s [D] 10 m/s [E] 13 m/s

Explanation / Answer

a) Vx= 10 m/s Vy=0

b) ax=0 ay=-g

c ) t= (2h/g)0.5 = 0.3 sec

d) 10 m/s

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