(adsbygoogle = window.adsbygoogle || []).push({}); 1stI am having problems getting a solution for final Velocity in terms of Distance traveled with a non-zero initial velocity.

Acceleration = A / Velocity - B * Velocity^2

where A is a constant related to Hp (horsepower) of the vehicle and and B is a constant related to aerodynamic drag.

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2ndsimpler problem that I am also trying to solve involves:

Acceleration = m * Velocity + bwhere acceleration varies linearly with velocity. m & b are constants.

...this 2nd one I can solve for time and distance but not for Vf (Final Velocity) in terms of distance traveled and Vi (Initial Velocity).

time = 1/m * ln[(b-m*Vf)/(b-m*Vi)]

distance traveled = Vf/m - b/m^2 * ln(b+m*Vf) - Vi/m - b/m^2 * ln(b+m*Vi)

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How do I solve for Vf (Final Velocity) in terms of Distance traveled?

Thank you very much for any help.

Jan

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# Non Uniform Acceleration Linear Motion

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