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

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To calculate the distance a golf ball travels when struck at a 15-degree angle and 100 mph, it's essential to use both horizontal and vertical motion equations. The horizontal motion can be described by the formula d = vt, while vertical motion involves more complex equations like v = vo + at and d = vot + 0.5at^2. The initial velocity must be divided into horizontal and vertical components using trigonometry, with the horizontal component used in the first formula. Setting up kinematic variables for both dimensions can help clarify the problem. Understanding these principles is crucial for solving trajectory problems effectively.
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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?
 
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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 = vot + .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
 
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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