Kinematics in two dimensions of golf ball

In summary, the golfer imparts a speed of 30.3 m/s to a ball, at an angle of 45 degrees, and it travels the maximum possible distance before landing on the green. The tee and the green are at the same elevation. The ball spends a total of approximately 5.16 seconds in the air and the longest "hole in one" possible is approximately 156.4 meters, assuming the ball does not roll when it hits the green. To find the distance, we can use the horizontal component of velocity, which is 30.3 * cos(45) = 21.41 m/s, and multiply it by the time in the air, which is equal to the vertical component of velocity
  • #1
goodcoverage
4
0
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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  • #2
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?
 
  • #3
45 degrees?
 
  • #4
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.
 
  • #5
but what if i don't know the vertical velocity?
 
  • #6
goodcoverage said:
but what if i don't know the vertical velocity?

I just gave it to you.
 
  • #7
oh i think i get you now. thank you so much!
 

1) What is kinematics in two dimensions of a golf ball?

Kinematics in two dimensions of a golf ball is the study of the motion of a golf ball in two-dimensional space. It involves analyzing the velocity, acceleration, and displacement of the golf ball as it moves through the air and interacts with other objects.

2) How does the angle of a golf club affect the kinematics of the golf ball?

The angle of a golf club can greatly affect the kinematics of a golf ball. The angle of the club face at impact determines the initial direction and trajectory of the ball, while the angle of the club's swing can impact the velocity and spin of the ball.

3) What factors can affect the distance a golf ball travels in two dimensions?

The distance a golf ball travels in two dimensions can be affected by several factors, including the initial velocity, angle of the club face, air resistance, and spin on the ball. Other factors such as wind, temperature, and elevation can also play a role.

4) How does the dimple pattern on a golf ball affect its kinematics?

The dimple pattern on a golf ball can greatly impact its kinematics. The dimples create a thin layer of turbulent air around the ball, reducing drag and allowing it to travel farther. The pattern and depth of the dimples can also affect the ball's spin and stability in flight.

5) Can kinematics be used to improve a golfer's performance?

Yes, kinematics can be used to improve a golfer's performance. By understanding the kinematics of a golf ball, such as the ideal launch angle and spin rate for maximum distance, a golfer can adjust their technique and equipment to optimize their shots. Kinematic analysis can also help identify and correct any flaws in a golfer's swing.

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