Looking for readup on parametric projectile equation

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The projectile equation y = (vi/k)(1-e^-kt))(sin a) + (g/k^2)(1-kt-e^-kt) is under discussion, with a focus on its physical context and application. The equation appears to model projectile motion with air resistance, incorporating variables such as initial velocity (vi), gravitational acceleration (g), and a decay constant (k). The discussion emphasizes the need for clarification on the specific physical situation that this equation represents, as it is not widely recognized. Participants are encouraged to provide insights or references that explain the derivation and application of this equation in the context of physics.
Matt Jacques
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Hi,

Im trying to find more information about the following projectile equation:

y = (vi/k)(1-e^-kt))(sin a) + (g/k^2)(1-kt-e^-kt))

I apologize for posting this, but I have been looking high and low for this!
 
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I don't recognize that equation at all. What physical situation is it supposed to be modeling?
 

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