Golf ball, projectile question

In summary, a golf ball with an initial velocity of 11m/sec and an angle of 30 degrees with respect to the horizontal will travel a horizontal distance of 10.9m and reach a maximum height of 1.54m. For the golf ball to travel a distance of 100m using the same initial trajectory, the required initial velocity would be 33.7m/s.
  • #1
bobmarly12345
27
0

Homework Statement


a golf ball is struck at an angle of 30 degree with respect to the horizontal, at a velocity of 11m/sec. the golf course is perfectly level and the golf ball stops instantaneously when it hits the ground.
a) determine the horizontal distance traveled by the golf ball
b) determine the maximum height attained by the golf ball
c) if the golf ball is to travel a distance of 100m using the same initial trajectory, determine the required initial velocity

Homework Equations


(u²sin2theta)/g
(u²sin²theta)/2g
sqrt((rg)/sin2theta)



The Attempt at a Solution


vertical component = 11sin30
horizontal " = 11cos30

a) range = [11²xsin(2x30)]/9.81 = 10.9m
b) height = [(11²xsin(30)²)/2x9.81 = 1.54m
c) 100m/s
sqrt((100.9.81)/sin(2x30))=33.7m/s

thats what I've done, i think its right but would like it if someone could check if I'm doing it right? whoever is hitting this golf ball doesn't seem very good if they're hitting it 10.9m :)
cheers
 
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  • #2
Your results look fine.
 

1. What is the science behind the distance a golf ball can travel?

The distance a golf ball can travel is determined by a combination of factors including the initial velocity of the ball, the angle at which it is launched, and the aerodynamic properties of the ball. The dimpled surface of a golf ball creates an area of low pressure behind the ball, allowing it to travel further through the air.

2. How does the weight of a golf ball affect its trajectory?

The weight of a golf ball does not significantly affect its trajectory. The primary factors that influence the trajectory of a golf ball are the initial velocity and the angle at which it is launched.

3. Why do golf balls have dimples?

Golf balls have dimples because they help reduce drag and increase lift, allowing the ball to travel further through the air. Without dimples, a golf ball would have a smooth surface and create more drag, resulting in a shorter distance.

4. How do different types of golf clubs affect the trajectory of a golf ball?

The type of golf club used can affect the trajectory of a golf ball in various ways. For example, a driver has a lower loft angle, allowing for a more horizontal trajectory, while a wedge has a higher loft angle, resulting in a more vertical trajectory. The length and flexibility of the club shaft also play a role in the trajectory of the ball.

5. What is the impact of wind on the flight of a golf ball?

Wind can have a significant impact on the flight of a golf ball. A strong headwind can cause a ball to travel shorter distances, while a tailwind can increase the distance. Crosswinds can also affect the trajectory of the ball, making it more difficult to control. Golfers must take into account wind conditions when selecting their clubs and planning their shots.

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