Crossing the Bridge

Classical Mechanics Level 1

A train \(200\text{ m}\) long crosses a bridge which is \(300\text{ m}\) long. It enters the bridge with a speed of \(30\text{ m/s}\) and leaves it with a speed of \(50\text{ m/s}.\)

What is the time taken by the train to cross the bridge?

Assume that the train travels with constant acceleration.

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