Time To Accelerate To Maximum Velocity Including Drag

Classical drag acceleration flight aircraft velocity aeronautics thrust force aviation

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#1 Planckenstein

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Posted 21 January 2020 - 07:34 AM

Say I have an aircraft. I know it's thrust and the properties needed to determine its drag. The craft accelerates at at 10 m/s^2. Making the drag equal to the thrust, I determine its max speed to be 180 m/s. If I were to ignore drag, I could simply say it would take 18 seconds to reach maximum velocity, but I am attempting to determine how long it would take to reach 180 m/s including drag. As the velocity increases, the drag force with increase exponentially, so the net thrust/rate of acceleration would decrease each second. Is there a way to wrap F=ma with F=(CApv^2)/2 to determine the time to reach maximum velocity including drag or do I need to learn some calculus for this one?

#2 Dubbelosix

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Posted 21 January 2020 - 07:35 AM

Why have you taken my formula? That formula pretty much explains dark matter.

#3 OceanBreeze

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Posted 13 February 2020 - 08:39 AM

Why have you taken my formula? That formula pretty much explains dark matter.