Kinematics in two dimensions of golf ball

AI Thread Summary
A golfer hits a ball with a speed of 30.3 m/s, aiming to maximize its distance before landing on the green, which is at the same elevation as the tee. The discussion revolves around calculating the time the ball spends in the air and determining the longest possible "hole in one" distance, assuming no rolling upon landing. The optimal launch angle for maximum distance is identified as 45 degrees. Participants suggest using the vertical and horizontal components of the initial velocity to solve the problem. The conversation highlights the importance of understanding projectile motion in two dimensions for accurate calculations.
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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