At timet=0an object (massm) starts being pushed towards the positive x-direction with a forceF. A different force directly proportional to the velocityvof the object (magnitudekv, wherekis some positive constant), points to the negative x-direction, resisting the movement of the object. According to Newton's 2nd law, the total force is equal to the massmtimes accelerationa. Using Newton's 2nd law and the fact that acceleration is the rate of change (time derivative) of velocity, formulate a differential equation from which you can solve the velocityv(t)of the object at any timet, and solve the equation with the initial conditionv(0)=u. v(t)=