How to Calculate Air Time and Initial Speed of a Golf Ball in Projectile Motion?

AI Thread Summary
To calculate the air time and initial speed of a golf ball in projectile motion, the problem involves a ball launched horizontally from a height of 6.5 meters, landing 66.8 meters away. The time the ball is in the air can be determined using the vertical motion equations, specifically considering the acceleration due to gravity. The horizontal distance traveled can then be used to find the initial speed by applying the equation X = VoxT. Understanding the components of motion is crucial, particularly the vertical drop and horizontal travel. This analysis is essential for solving projectile motion problems effectively.
deaninator
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1. Homework Statement
A golfer rips a tee shot from an elevated driving range tee-off such that the ball leaves horizontally. The ball lands exactly at the 66.8 meter marker, and was shot from the upper level (6.5 meters above the ground).

How long was the ball in the air?

And how fast did the ball leave the tee?


2. Homework Equations
X = VoxT


3. The Attempt at a Solution
My teacher did a terrible job touching base on projectile motion... where do i start?
 
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How long does it take an object to drop 6.5 meters from rest?
 
zgozvrm said:
How long does it take an object to drop 6.5 meters from rest?

I know that the question is asking that...but can you please elaborate?
 
hi deaninator! :smile:
deaninator said:
A golfer rips a tee shot from an elevated driving range tee-off such that the ball leaves horizontally …

use the standard constant acceleration equations for components of motion in the vertical (y) direction, with a = -g :wink:
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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