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1. In the 1970 National Basketball Association championship, Jerry West made a 60 ft shot from...

1. In the 1970 National Basketball Association championship, Jerry West made a 60 ft shot from beyond half court to lead the Los Angeles Lakers to an improbable tie at the buzzer with the New York Knicks. Suppose West threw the ball at an angle of 45.0∘above the horizontal. The basket is 10 ft from the court floor. Neglecting air resistance, estimate the initial speed of the ball. (The Knicks won the game in overtime.)

2. Robin would like to shoot an orange in a tree with his bow and arrow. The orange is hanging ?f=5.00 m above the ground. On his first try, Robin looses the arrow at ?0=34.0 m/s at an angle of ?=30.0°above the horizontal. The arrow has an initial height of ?0=1.20 m, and its tip is ?=53.0  away from the target orange.

Treating the arrow as a point projectile and neglecting air resistance, what is the height of the arrow once it has reached the horizontal position ?x of the orange?

Use ?=9.81 m/s2 for the acceleration due to gravity.

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