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23 Nov 2019

Abasketballplayer has free throws from the foul line. The center ofthe basketis a horizontal distance of 4.21 m from the foul lineand is aheight of 3.05 m above the floor. For the first free throwhe shootsthe ball at an angle of 35 degrees above thehorizontal and with aspeed of v0 = 4.88 m/s. Theball is released 1.83 m abovethe floor. Ignore air resistance. Theshot misses.


(a)What is themaximum height reached by the ball?

(b)At whatdistance along the floor from the free-throw line does theballland?

Forthe secondthrow, the ball goes through the center of the basket.For thisthrow, the player again shoots at 35 degrees abovethe horizontaland released it 1.83 m above the floor.

(c)What initialspeed does the player give the ball on this secondattempt? (d) Forthis second throw, what is the maximum height ofthe ball? (e) Atthe maximum height, how far is the ballhorizontally from thebasket?

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