Distance Traveled Homework: Solve Problem w/ 15° & 100mph

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Homework Help Overview

The discussion revolves around calculating the distance a golf ball travels when struck at a 15-degree angle with a speed of 100 mph. Participants are exploring the relevant physics concepts and equations related to projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about which formulas to use and questions the relevance of their initial equation. Some participants suggest breaking the problem into horizontal and vertical components of motion, while others mention the need for kinematic variables and equations.

Discussion Status

Participants are actively discussing different approaches to the problem, with some offering guidance on how to structure the analysis. There is no explicit consensus yet, as various methods and interpretations are being explored.

Contextual Notes

There is an acknowledgment that the nature of the golf ball and the specifics of how it is struck may affect the calculations. The discussion also highlights the need to split the initial velocity into components using trigonometry.

jaglavek
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Homework Statement



Not sure where to start, but I've read through many posts trying to figure out which formulas I need to use to solve for the following problem. I'm trying to build a simple golf game that calculates the distance traveled, for example:

What is the distance a golf ball travels when it is struck with a golf club that has a 15 degree angle at a speed of 100mph.



Homework Equations



d = v * t


The Attempt at a Solution



I honestly have no idea where to begin. Is my relevant formula even relevant?
 
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Much depends on the nature of the golf ball and the precise way in which it is struck.
You CAN solve for the distance traveled if you know the initial speed and angle of the golf ball after it is hit. This is a 2 - dimensional problem where the horizontal motion is uniform (d = vt) and the vertical motion is accelerated (more complex formulas).
 
usually when doing problems like this, the easiest way for me is to write out two columns of kinematic variables (for x and y) so I would have something that looks like
X
d=
a=
t=
v initial=
v final=
v average=

(and the same set up for motion in the y)

fill in the variables you know and use equations to find the rest. some of the variables are always the same, keep that in mind. from there you can answer anything you're being asked. I hope this kinda helps?
 
Last edited:
All these trajectory problems are solved by making two headings for the two kinds of motion going on, and then writing three formulas:

Horizontal motion
d = vt

Vertical Motion
v = vo + at, d = volt + .5at^2

The initial velocity of the ball must be split into horizontal and vertical components using trigonometry. The v in the first formula is the horizontal component. The vo in the others is the vertical component.
 
Great! Thank you
 

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