Find Initial Velocity (With Wind Factored In)

AI Thread Summary
The discussion focuses on finding the initial velocity of a projectile while factoring in wind speed and angle. The user seeks an equation that incorporates these variables alongside coordinates of origin and endpoint, mass, and angle. They provide a formula for calculating velocity without wind but express difficulty in adapting it for wind conditions. The user emphasizes that this is for a programming application and not for a school assignment, indicating a strong interest in physics despite not having taken a course yet. Assistance is requested to develop a suitable equation that maintains a constant velocity.
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[Please Help!] Find Initial Velocity (With Wind Factored In)


I can't do it =\.

Q: What equation would I use to find initial velocity? Given: Wind Speed, Wind Angle, Coordinates of Origin, Coordinates of End Point, (Distance), Projectile Mass, Theta (Angle to Use)

Here's my repost from a previous topic:

Hey Physics Forums. This is my first post here, and I'm just wondering about how to find what the initial velocity SHOULD be based on all the other information that I provide (it's for a program application I coded).

Anyways, I have this right now (which is for no wind/0 wind):

I am just wondering how I would go about factoring in the "wind" and wind's angle.

Wind Angles:

^ 90
< 180 > 0
\/ 270

As you can see, the wind angle starts at East 0 and increases counter-clockwise.

Anyways, here's the formula:

Velocity = Sqrt((Mass * (DifferenceInX^ 2)) / (2 * (DifferenceInX) * Sin(Theta* PI / 180) * Cos(Thtea * PI / 180) - (2 * (DifferenceInY)) * ((Cos(Theta* PI / 180) ^ 2))))

Where Theta is the angle of the shot; Difference in X is the difference in coordinates X of the starting position and where you want the shot to end; and DifferenceInY is the difference in coordinates Y of the starting and ending position.

Please help me out! Thanks.

I don't take a Physics course yet, I'm enrolled in Algebra 2 at the moment, but am heavily interested in the Physics course of study, so please do help me out!

I need an equation, like the one above, that will work in my computer program.
 
Last edited:
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Also, the velocity remains constant; it doesn't change...
 
I don't know why my question hasn't been answered as of yet! This isn't homework, this is off-to-the-side-what-I-do work.

I have no idea how to begin to make this all work. I've been looking for an answer for over 5 months!
 
I'll include a picture with equations for finding initial velocity in zero wind.
 

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The final line is the line to find initial velocity in 0 wind.

Velocity = Sqrt((Mass * (DifferenceInX^ 2)) / (2 * (DifferenceInX) * Sin(Theta* PI / 180) * Cos(Thtea * PI / 180) - (2 * (DifferenceInY)) * ((Cos(Theta* PI / 180) ^ 2))))
 
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