A rock with mass m slides with initial velocity vo on a horizontal surface. A retarding force FR that the surface exerts on the rock is proportional to the square root of the instantaneous velocity of the rock FR=-kv1/2.
A) Find expression for the velocity of the rock as a function of time.
Express your answer in terms of the variables m, vo, k, and t.
The Attempt at a Solution
vbasically included solving and substituting F=ma, FR=-kv1/2 and v=vo +at
in the end i got v=vo -kv1/2t/m
obviouslt this isnt right because i have v on both sides of the equation.. help