Question

A basketballplayer wants to score a three point shot from the 3 point line. Theball has a circumference of 749 mm, and a mass of 624g. (NBA spec)The three point line is 6.7 m from the goal. The goal is 3.05 mhigh and has a diameter of .45m. The player is 2 m tall and has 1mlong arms and weighs 150N. If he shoots from a height equal to theheight of the rim at the edge of the 3 pointline:

•a) What initial velocity and angle will he need to launch theball into the goal?(hint you choose the angle to find thevelocity)

•b) What acceleration will he and the ball have to make theshot? (over the one meter length of his arms) can be done asmomentum.

c) Over his 1 meter of arm length what work and energy is placedinto the ball?

•d) If there are four revolutions per second of back spin on theball how much rotational energy is there?

•e) How much mechanical energy is there in the ball as the ballis released; (Total Kinetic) linear plus rotational?

•f) What is the angle of opportunity or to what precision mustthe shot be made plus or minus on the horizontal plane, or fromright to left not up and down?

g) What is the angular acceleration is needed to induce the 4rev/sec rotation of the ball, and what centripetal acceleration isdeveloped?