Find The Acceleration
The velocity of a particle is: where s is the distance traveled.
What is the acceleration of the particle when ?
The answer is -0.40.
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1 solution
Multiply the expression for "v" in terms of position (the problem states "distance traveled" but I think "position" is a little more appropriate in this context so that's why I'm calling it that) by its own derivative to get acceleration in terms of position, since (dv/ds) (ds/dt)=dv/dt; which can also be written as (dv/ds) v=dv/dt.