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No template because originally posted in wrong thread

Consider the 1d motion of a body under the influence of the force given by F = -m*γ*v

^{α}. m is mass, γ is a constant of appropriate dimension, v is velocity and α is dimensionless constant. The value of α for which the motion will come to a stop in finite time is to be calculated. I solved the equation of motion given by v'' = -γ*v^{α}and got an equation for t given by t = (1/γ)*(V_{0}^{1-α})/(1-α); V_{0}is the initial velocity. According to this, for all γ>1, time is finite. But the sign of t is negative. Why is this happening? Am I doing something wrong?