Projectile motion golf ball question

AI Thread Summary
To determine the longest shot of a golf ball with an initial velocity of 30.3 m/s, it should be launched at a 45-degree angle for maximum distance. The discussion emphasizes breaking down the initial velocity vector into vertical and horizontal components to calculate flight time and distance. The absence of air resistance simplifies the calculations, focusing solely on projectile motion principles. Additionally, for rolling distance, the friction coefficient of the surface must be considered. Understanding that the optimal launch angle is 45 degrees is crucial for solving the problem effectively.
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If the initial velocity of a golf ball is 30.3 m/s off the club face, and the tee box is at the same height as the green, what is the longest shot possible?
(not inlcuding roll)
i have no clue where to start please help?
all that i know is initial velocity and accelration due to gravity, so how do i solve?
 
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This is a good bit of information to learn: for the maximum projectile distance, it needs to be launched at 45 degrees. Can you take it from there?
 
For maximum distance with negligible air resistance, the best launch angle is 45 degrees. break down your \vec{v_0} [/tex] vector into vertical and horizontal, and find the flight time to find the flight distance. For roll, you'll need a friction coefficient on the green/rough to see how far it will roll.
 
ahh, it nefver said in my book that max proj is 45 degrees, now i think i can do it
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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