Find an expression for the velocity vs distance

Reference no: EM13336566

A snowmobile is running across a level, snow-covered surface at 8ft/s when the engine cuts out. Due to viscous forces of the snow over the skis, the sled has a velocity-dependent acceleration a = -0.1v^2, where v is the velocity of the sled.
*find an expression for the velocity vs. distance.
*what is the velocity after the sled has traveled 15ft?
*find an expression for the distance traveled with respect to time. (hint: v = ds/dt , where s is distance.
*sketch the graph of this function. Does it agree with your intuition? Describe why or why not.

Reference no: EM13336566

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