What is the final velocity of the golf ball before it lands?

In summary, a golfer hits a shot to a green that is elevated 3.00 m above the point where the ball is struck. The ball leaves the club at a speed of 17.1 m/s at an angle of 52.0˚ above the horizontal and reaches a maximum height of 9.81 m. Ignoring air resistance, the speed of the ball just before it lands is 11.07 m/s. However, there may have been an error in calculating the x component of the velocity.
  • #1
fedora
1
0
A golfer hits a shot to a green that is elevated 3.00 m above the point where the ball is struck. The ball leaves the club at a speed of 17.1 m/s at an angle of 52.0˚ above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

Initial velocity = 17.1sin52=17.1 x 0.788
=13.47 m/s.

max height = 9.81

v^2=u^2 + 2as

v^2=0+2*9.81*6.25

v= 11.07 m/s

My answer is wrong.
 
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  • #2
fedora said:
A golfer hits a shot to a green that is elevated 3.00 m above the point where the ball is struck. The ball leaves the club at a speed of 17.1 m/s at an angle of 52.0˚ above the horizontal. It rises to its maximum height and then falls down to the green. Ignoring air resistance, find the speed of the ball just before it lands.

Initial velocity = 17.1sin52=17.1 x 0.788
=13.47 m/s.

max height = 9.81

v^2=u^2 + 2as

v^2=0+2*9.81*6.25

v= 11.07 m/s

My answer is wrong.
looks like you calculated max height as 9.25 not 9.81.
An extra step, but you correctly got the y component of the velocity. What about the x component?
 

What is the "golf ball velocity problem"?

The "golf ball velocity problem" refers to the challenge of accurately measuring and predicting the speed of a golf ball as it travels through the air. This is important for golfers to understand in order to make precise shots and improve their game.

What factors affect the velocity of a golf ball?

The velocity of a golf ball is affected by several factors, including the initial speed and angle of the club strike, air resistance, wind speed and direction, and the spin of the ball.

How do scientists measure the velocity of a golf ball?

Scientists use specialized equipment such as radar guns and high-speed cameras to measure the velocity of a golf ball. These tools can capture the initial speed of the ball, as well as its speed and angle as it travels through the air.

Why is understanding golf ball velocity important for golfers?

Understanding golf ball velocity is important for golfers because it allows them to make more accurate shots and improve their overall performance. By understanding the factors that affect velocity, golfers can adjust their technique and equipment to optimize their shots.

What are some ways to increase golf ball velocity?

There are several ways to increase golf ball velocity, including using a club with a larger sweet spot, increasing swing speed, optimizing the angle of the club face at impact, and using a ball with a lower compression rating. Additionally, making improvements in one's physical strength and flexibility can also lead to increased velocity.

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