Projectile motion golf ball question

In summary, to find the longest shot possible with a golf ball, the initial velocity of the ball needs to be 30.3 m/s off the club face, and the ball should be launched at a 45 degree angle for maximum distance. To calculate the flight distance, break down the initial velocity into vertical and horizontal components and use the flight time. For roll, consider the friction coefficient of the green/rough to determine how far the ball will roll.
  • #1
11thgradephysics
9
0
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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  • #2
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?
 
  • #3
For maximum distance with negligible air resistance, the best launch angle is 45 degrees. break down your [itex] \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.
 
  • #4
ahh, it nefver said in my book that max proj is 45 degrees, now i think i can do it
 

1. What is projectile motion and how does it relate to a golf ball?

Projectile motion is the curved path that an object takes when it is thrown or projected near the Earth's surface. In the case of a golf ball, it is the motion of the ball as it is hit by a golf club and travels through the air towards its target.

2. What factors affect the trajectory of a golf ball?

The trajectory of a golf ball is affected by factors such as initial velocity, launch angle, air resistance, and the force of gravity. These factors all work together to determine the final path of the ball.

3. How does the shape and dimples of a golf ball affect its projectile motion?

The shape and dimples of a golf ball play a significant role in its projectile motion. The dimples reduce air resistance, allowing the ball to travel farther, while the smooth surface of the ball would create more drag and slow it down. The shape of the ball also affects its spin, which can impact its trajectory.

4. Can a golfer control the trajectory of a golf ball?

Yes, a golfer can control the trajectory of a golf ball by adjusting their swing and hitting the ball at a specific angle and velocity. They can also use different clubs and techniques to achieve different trajectories.

5. How is the trajectory of a golf ball calculated and predicted?

The trajectory of a golf ball is calculated using mathematical equations that take into account the initial conditions of the ball, such as its velocity and launch angle, as well as external factors like air resistance and gravity. Predictions can also be made using computer simulations and data analysis.

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