- #1
Andrew97
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I'm trying to calculate the displacement d of a plane as it accelerates towards lift-off velocity.
The acceleration is given by the function a = a0 - kv2 where a0 is the constant acceleration from the plane's engine and the term -kv2 is caused by air resistance.
I can't seem to find a way to integrate the equation above so that I get the plane's velocity nor it's displacement.
The answer is meant to be:
d = - ln (1 - kv2 / a0 ) / 2k
The acceleration is given by the function a = a0 - kv2 where a0 is the constant acceleration from the plane's engine and the term -kv2 is caused by air resistance.
I can't seem to find a way to integrate the equation above so that I get the plane's velocity nor it's displacement.
The answer is meant to be:
d = - ln (1 - kv2 / a0 ) / 2k
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