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## Homework Statement

A rock with mass m slides with initial velocity v

_{o}on a horizontal surface. A retarding force F

_{R}that the surface exerts on the rock is proportional to the square root of the instantaneous velocity of the rock F

_{R}=-kv

^{1/2}.

A) Find expression for the velocity of the rock as a function of time.

Express your answer in terms of the variables m, v

_{o}, k, and t.

## Homework Equations

F=ma

v=v

_{o}+at

etc..

## The Attempt at a Solution

vbasically included solving and substituting F=ma, F

_{R}=-kv

^{1/2}and v=v

_{o}+at

in the end i got v=v

_{o}-kv

^{1/2}t/m

obviouslt this isnt right because i have v on both sides of the equation.. help