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The driver of a train moving at a speed ...

The driver of a train moving at a speed ` v_(1)` sights another train at a disane ` d`, ahead of him moving in the same direction with a shower speed ` v_(2)`. He applies the brakes and gives a constant teradation ` a` to his train. Show that here will be no collision if ` d gt (v_(1) -v_(2))^(2) //2 a`.

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AI Generated Solution

To solve the problem, we need to analyze the motion of both trains and determine the condition under which they will not collide. ### Step-by-Step Solution: 1. **Identify the initial conditions**: - Let the speed of the first train (the one applying brakes) be \( v_1 \). - Let the speed of the second train (the one ahead) be \( v_2 \). - The distance between the two trains is \( d \). ...
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