posted by Mark on .
Trailing by two points, and with only 1.00 s remaining in a basketball game, a player makes a jump-shot at an angle of 35.0o with the horizontal, giving the ball a velocity of 8.50 m/s. The ball is released 0.25 m below the height of the basket, which is 3.05 m above the floor. Yes! It's a score.
a) How much time is left in the game when the basket is made?
Vo = 8.50m/s @ 35 Deg.
Xo = 8.5cos35 = 6.96 m/s.
Yo = 8.5sin35 = 4.88 m/s.
d(up) = Yo*t + 0.5g*t^2 = 0.25 m,
4.88t - 4.9t^2 = 0.25,
-4.9t^2 + 4.88t - 0.25 = 0,
Use Quadratic Formula to find t and get: t = Tr = 0.94s = Rise time = Time
Time Left = 1.0 - 0.94 = 0.06 s.