Projectile time left in basketball

AI Thread Summary
In a basketball scenario, a player makes a jump shot at a 60° angle with an initial velocity of 10 m/s, releasing the ball from a height of 3.05 m with only 2 seconds left in the game. The calculations indicate that the time to reach the maximum height is 0.88 seconds, with a total flight time of 1.76 seconds. The player is confused about the remaining time after the shot is made, calculating 0.24 seconds left, which is deemed incorrect. The discussion highlights the need to clarify the relationship between the projectile motion and the timing of the game. Accurate calculations are essential to determine the correct time left after the shot.
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Homework Statement



Trailing by two points, and with only 2.0 s remaining in a basketball game, a player makes a jump-shot at an angle of 60° with the horizontal, giving the ball a velocity of 10 m/s. The ball is released at the height of the basket, 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?


Homework Equations



d=.5at^2
d=Vxt

The Attempt at a Solution



I got this, maybe I am reading the question wrong
Time till at top: 0.88 s
Total time: 1.76 s
Maximum height: 3.82 m
Range: 8.83 m


I took 2sec-1.76 and got .24 and its not right?
 
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height of the basketball hoop?
 
3.05 m.
 
so anyone have an idea on the time left? unless I got the other stuff wrong?
 

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