Projectile time left in basketball

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Homework Help Overview

The problem involves a basketball player's jump-shot, analyzing the projectile motion of the ball to determine the time left in the game when the basket is made. The shot is taken at an angle of 60° with an initial velocity of 10 m/s from a height of 3.05 m.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the time until the ball reaches the basket, providing values for time to the maximum height and total time of flight. Some participants question the accuracy of these calculations and whether the height of the hoop is correctly factored into the problem.

Discussion Status

The discussion is ongoing, with participants exploring the calculations made by the original poster and questioning the assumptions regarding the height of the basket and the time left in the game. There is no explicit consensus yet on the correct approach or values.

Contextual Notes

The problem is constrained by the specific conditions of the basketball game, including the time remaining and the height of the basket, which are critical to the calculations being discussed.

halo9909
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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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