A wagon with initial speed vo is released on grass. The wagon isslowed by grass

Question

A wagon with initial speed vo is released on grass. The wagon isslowed by grass by a force F=-e^v. Where and are constants. Find thedistance for the wagon to stop.
I found v(t)=-1/ ln(e^-vo +bt/m) and madethat form into dx/dt=-1/ ln(e^-vo +bt/m) in orderto find the position. I found the time for the wagon to stop toequal t=(m/)(1-e^-vo) I am stuck on how to findthe distance for the wagon to stop.
I found v(t)=-1/ ln(e^-vo +bt/m) and madethat form into dx/dt=-1/ ln(e^-vo +bt/m) in orderto find the position. I found the time for the wagon to stop toequal t=(m/)(1-e^-vo) I am stuck on how to findthe distance for the wagon to stop.

Explanation / Answer

to solve the problem use the following hint. kinetic energy of a object=break force*stopping distance . here we have to calculate the stopping distance from the above relation we have stopping distance=[1/2m*v*v] / [ break force] substituting the values we will get the answer.

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