Kinematics in two dimensions of golf ball

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Homework Help Overview

The problem involves kinematics in two dimensions, specifically analyzing the motion of a golf ball that is hit with an initial speed of 30.3 m/s. The ball is expected to travel the maximum distance before landing on a green that is at the same elevation as the tee. The discussion focuses on determining the time the ball spends in the air and the maximum distance it can cover.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the optimal angle for maximizing distance, with a suggestion that 45 degrees may be ideal. There is also an exploration of how to calculate the time the ball is in the air using vertical and horizontal components of velocity.

Discussion Status

The discussion is ongoing, with participants sharing ideas about the angle of projection and how to derive the time of flight and distance. Some guidance has been offered regarding the relationship between vertical and horizontal components of velocity, but no consensus has been reached on the overall approach.

Contextual Notes

Participants express uncertainty about the vertical velocity component and its role in the calculations. The original poster indicates a struggle with the problem, suggesting that additional clarification may be needed.

goodcoverage
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A golfer imparts a speed of 30.3 m/s to a ball, and it travels the maximum possible distance before landing on the green. The tee and the green are at the same elevation. (a) how much time does the ball spend in the air? (b) What is the longest "hole in one" that the golfer can make, if the ball does not roll when it hits the green?

So I have been working on this problem all day and have gone in circles. Can anyone give me an advice on how to solve or any ideas?
 
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goodcoverage said:
A golfer imparts a speed of 30.3 m/s to a ball, and it travels the maximum possible distance before landing on the green. The tee and the green are at the same elevation. (a) how much time does the ball spend in the air? (b) What is the longest "hole in one" that the golfer can make, if the ball does not roll when it hits the green?

So I have been working on this problem all day and have gone in circles. Can anyone give me an advice on how to solve or any ideas?

Welcome to PF.

What angle do you think gives the best distance?
 
45 degrees?
 
goodcoverage said:
45 degrees?

OK how long is the ball in the air if the vertical component is V*sin45 then?

Then take that time and multiply by the horizontal component of velocity which is VCos45. That's how far it goes.
 
but what if i don't know the vertical velocity?
 
goodcoverage said:
but what if i don't know the vertical velocity?

I just gave it to you.
 
oh i think i get you now. thank you so much!
 

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