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You are on a train that is traveling at 3.0 m/s along a level straight track. Ve

ID: 2231884 • Letter: Y

Question

You are on a train that is traveling at 3.0 m/s along a level straight track. Very near and parallel to the track is a wall that slopes upward at a 12 degree angle with the horizontal. As you face the window ( 0.715 m high, 2.03 m wide) in your compartment, the train is moving to the left, as the drawing indicates. The top edge of the wall first appears at window corner A and eventually disappears at window corner B. How much time passes between appearance and disappearance of the upper edge of the wall?

Explanation / Answer

let the point right of A be C. Time from A-C = 2.03/3 = 0.677 At c the line will make angle 12 with AC, Perpendicular distance between The sloped line at C and at B will be, P = 0.715 cos 12 velocity component = 3 sin 12 time = (0.715*cot 12)/3 = 1.121 sec Total = 1.798 sec

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