# Beach on the highway

A cart loaded with sand moves along a flat, straight track due to a constant force $$F$$ parallel to the cart's velocity vector. The sand spills through a hole in the bottom at a constant rate $$z$$ kg/s .

Find the time when the velocity of the cart will be $$\frac{F}{z}$$ given that velocity of cart at $$t=0$$ is zero, and the initial mass of the cart $$t=0$$ is $$M$$.

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