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B3. A basketball player shoots a basketball towards a basketball hoop attached directly to a wall behind at a height H above the ground. The ball leaves the basketball player's hand at an angle of 60 above horizontal, at which point the centre of the ball is 2 m above the ground and a horizontal distance D from the centre of the basketball hoop. The diameter of the basketball hoop is 46 cm and the diameter of the basketball is 25 cm. (a) Show that the basketball player should throw the ball with initial speed ii. where 2_ 20.02 _ DHn' u so that the basketball goes into the centre of the hopp. (b) Calculate the initial speed a if D = 7m and H = 3m. (c) The basketball player throws the ball with speed 10 m/s and hence it hits the wall above the hoop. i. At what height does the ball hit the wall above the hoop? ii. What is the velocity of the ball just before it hits the wall? If the vertical component of the basketball's velocity is the same after it hits the wall, but the horizontal component bounces elastically with a coefficient of restitution of e = 1, what is the velocity of the ball immediately after it hits the wall? 5 iii. Does the basketball go in the hoop after bouncing off the wall