In the last seconds of the championship basketball game, a 7 ft center\'s team i

Question

In the last seconds of the championship basketball game, a 7 ft center's team is down by 2 points. He must make a 3 point shot to win the game. He is standing on the 3 point shot line, 7.24 meters from the center axis of the basket, which is 3.05 m above the floor of the gym. His jump shot originates level with the basket and he shoots the ball with an initial velocity of 10 m/s. Find the highest trajectory that the ball can travel to land in the middle of the basket without hitting the backboard.

Explanation / Answer

3.05 = (10* sint)* time - 4.9*time^2 7.24 = (10 cos t)* time time = 0.724/cos t so 3.05 = 7.24*tan t - 4.9*(0.724)^2* sect ^2 = 3.05 = 7.24*tan t - 2.568* (1+ tant ^2) so 5.618 = 7.24*tan t - 2.568* tant ^2 tan t =

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