Find time to reach ball. 1D motion

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SUMMARY

The discussion centers on calculating the velocity required for a basketball player to reach a ball thrown upwards, which travels 3.2 meters before stopping. The initial velocity of the ball is determined to be 7.919 m/s, and it takes 0.808 seconds to reach its maximum height. The player jumps 0.5 seconds after the ball is thrown, necessitating a calculation of the player's velocity to reach the ball at the peak of its trajectory, accounting for the delay. The method involves using kinematic equations for both the ball and the player.

PREREQUISITES
  • Understanding of kinematic equations, specifically vf^2 = vi^2 + 2as
  • Knowledge of projectile motion and maximum height calculations
  • Familiarity with time delay effects in motion problems
  • Basic algebra for solving equations
NEXT STEPS
  • Study kinematic equations in-depth, focusing on their application in vertical motion
  • Learn about projectile motion and how to calculate maximum height and time of flight
  • Research the impact of time delays on motion problems in physics
  • Explore real-world applications of kinematic equations in sports science
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Students studying physics, particularly those focused on kinematics, as well as educators looking for practical examples of motion problems in sports contexts.

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Homework Statement



basket ball player throws a ball up in the air and the ball travels 3.2meters before stopping. if the basketball player jumps .5 seconds after throwing the ball. what velocity does he need to reach the ball.

Homework Equations



vf^2=v1^2+2as
sf=si+volt+1/2at^2
vf=vi+aot

The Attempt at a Solution



i use vf^2=vo^2+2as to solve for the initial velocity of the ball which i get 7.919 m/s . I solve for the time it takes the ball to reach the max height by using vf=vi+aot and i get .808 seconds. I have no idea had to solve then for the basketball player? Do i use the same method as the ball and if i do; what do i do with the .5 second delay?
 
Last edited:
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I assume that the point is for the player to reach the the highest point of the ball's trajectory at the same time as the ball does.

You have found how long the ball takes to reach that point, and you are told the delay. The player must reach the same point in the same time, starting after the delay. Use the same method as before to find the player's motion. I don't know what you are supposed to do about the player's height.

It is best to quote the problem exactly instead of paraphrasing, because some vital information might get left out or unintentionally misstated.
 

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