# Let's get this over with

Grain is loaded onto a train initially coasting at the speed $$v_0 \text{ m/s}$$ by dropping it vertically from a stationary silo at the rate $$\alpha_m \text{ kg/s}$$. How long does it take for the train to pass the silo (in seconds)?

Details

• The train is $$l = 200$$ m long, and has an empty weight of $$m_0 = 500$$ kg.
• $$v_0=45$$ m/s
• $$\alpha_m = 20$$ kg/s
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