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what is the total horizontal distance traveled by the golf ball

by Louisa Klocko Published 3 years ago Updated 2 years ago
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Calculate the projectile’s range The total horizontal distance during travel dictates the projectile’s range. If you launch a golf ball from the ground (height = 0), the formula will be: R = Vx x t = Vx x 2 x Vy / g Simplify it to: R = V² x sin (2α) / g What if the initial elevation is not 0?

Full Answer

What determines the distance a golf ball can travel?

y = − a x 2 + b x + c, where x is the horizontal distance and y is the height of the ball. We know that when x = ± 100, the ball is at the ground, so. 0 = − a ∗ 10000 + b ∗ 100 + c. and. 0 = − a ∗ 10000 − b ∗ 100 + c. If we take the sum and the difference of these formulas, we get.

What is the longest distance on a golf ball?

"A golf ball leaves a club with an initial velocity of 40.0 meters per second at an angle of 40 degrees with the horizontal. What is the total horizontal distance traveled by the golf ball during the first 2.50 seconds of its flight?" 76.6 m: Longest one-handed golf shot, Guinness World Records 2007: 485.

What is the initial velocity of a golf ball?

A rule of thumb for elevation is to add one club length for every 10 yards of elevation, and conversely subtract one club length if the landing area is lower in elevation by ten yards. A simple rule of thumb for wind speed is increase the yardage by 1% for every mile per hour of swing speed. So if the total distance is 150 yards and you are ...

What is the average driving distance of a professional golfer?

This is the hang time of the ball. Check: Now press Play and observe the total time the ball spends in the air. Were your calculations correct? Evaluate: Click Reset. If the ball has a horizontal velocity (v_x) and a hang time (t), you can find the horizontal distance the ball travels using d = v_x middot t (distance = velocity times time). A.

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How far does the ball travel horizontally before hitting the ground?

The ball will travel about 1.1 meters before hitting the ground. Projectile motion problems always have this kind of two-step structure (at least).

What is the horizontal component of the golf ball's initial velocity?

The ball has an initial vertical velocity of 9.0 meters per second and an initial horizontal velocity of 9.0 meters per second. The ball reaches its maximum height 0.92 second after its launch. [Neglect air resistance and assume the ball lands at the same height above the ground from which it was launched.]

What is the horizontal velocity?

Generally, horizontal velocity is horizontal displacement divided by time, such as miles per hour or meters per second. Displacement is simply the distance an object has traveled from a starting point.Dec 13, 2020

What was the maximum height reached by the golf ball?

The ball was in the air for 2.75 seconds. The ball will reach a maximum height of 9.31 meters. Known: Up will be considered positive and down will be considered negative a = g = -9.81 m/s2 Vi= 5.6 m/s @ 35° y = -11 m x= ?

How do you find the horizontal velocity?

Horizontal projectile motion equations

Horizontal distance can be expressed as x = V * t . Vertical distance from the ground is described by the formula y = – g * t² / 2 , where g is the gravity acceleration and h is an elevation.
Nov 24, 2021

What is the formula for horizontal projectile motion?

Equations for the Horizontal Motion of a Projectile
x = horiz. displacementax = horiz. acceleration
vfx = final horiz. velocityvix = initial horiz. velocity

What is the formula for horizontal distance?

Look over the equation for calculating horizontal distance, which is slope = rise/run x 100. Plug your slope percentage and rise into the equation. For example, if you have a slope percentage of 6 and a rise of 25 feet, the equation would look like 6 = (25/run) x 100.Mar 13, 2018

What is the horizontal component?

Horizontal component means the calculated horizontal distance from the point of entry to the terminus.

What is the horizontal displacement?

The distance a projectile has moved between its point of release and its point of landing, measured as a straight line parallel to the ground.

How long does it take for the golf ball to hit the ground?

1 Answer. Binayaka C. After 4 seconds the the ball will hit the ground.Jul 11, 2017

How do you find the maximum height reached?

h = v 0 y 2 2 g . This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity.Sep 19, 2016

What velocity does the golf ball hit the ground?

Conclusion: The magnitude of the velocity of the ball is 26.3 m/s for the parabolic motion just before it hits the ground and this greater than the 17.1 m/s for the velocity of the ball that falls straight downward.

What is the carry distance in golf?

Carry Distances. The carry of a golf shot is how far the ball travels before it hits the ground for the first time. In other words, it is distance to first bounce. Often you are only concerned with how far the ball travel, but at crucial times, you are much more interested in the carry. It is also important to keep in mind ...

What is the carry of a golf shot?

The carry of a golf shot is how far the ball travels before it hits the ground for the first time. In other words, it is distance to first bounce. Often you are only concerned with how far the ball travel, but at crucial times, you are much more interested in the carry. It is also important to keep in mind the ball run which is how far ...

What is the Definition of Projectile Motion?

For an example of projectile motion, let us look at a golfer. Imagine him hitting the ball, blasting it forward and up. The further it moves toward the green, the slower its ascent becomes. It will then start its descent, showing promise for that elusive hole-in-one! Pay attention to the movements that ball made.

Analyzing Projectile Motion

Projectile motion might look complicated, but it involves logic. Once you know the initial velocity ( v ), launch angle ( α ), and initial height ( h ), use the calculator. The calculator uses the following steps to work out the remaining parameters for you. 1. Calculate your velocity components.

Equations for Projectile Motion

After reading the above steps for calculating projectile motion, you might feel frazzled! You won’t remember them all, but these below are important: Launching an object from the ground (initial height h = 0) 1. Horizontal velocity component Vx = V x cos (α) 2. Vertical velocity component Vy = V x sin (α) 3. Time of flight t = 2 x Vy / g 4.

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