On a model railway layout, the front of train A (travelling due north at 10 cms) crosses a bridge just as the front of train B (travelling SW at 15 cm s) passes beneath the bridge, some 12 cm below. ASsuming both trains continue to travel in a straight line, determine: a) the position vectors of the fronts of both trains in the frame of the bridge, after 10 seconds have elapsed. b) the position vectors of the front of train B and the centre of the bridge in the frame of train A, after a further 10 seconds have elapsed. c) the speed and direction of train B and the bridge in the frame of train A.

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter3: Vectors
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On a model railway layout, the front of train A (travelling due north at 10
cms) crosses a bridge just as the front of train B (travelling SW at 15 cms) passes
beneath the bridge, some 12 cm below. Assuming both trains continue to travel in a
straight line, determine:
a) the position vectors of the fronts of both trains in the frame of the bridge,
after 10 seconds have elapsed.
b) the position vectors of the front of train B and the centre of the bridge in
the frame of train A, after a further 10 seconds have elapsed.
c) the speed and direction of train B and the bridge in the frame of train A.
Transcribed Image Text:On a model railway layout, the front of train A (travelling due north at 10 cms) crosses a bridge just as the front of train B (travelling SW at 15 cms) passes beneath the bridge, some 12 cm below. Assuming both trains continue to travel in a straight line, determine: a) the position vectors of the fronts of both trains in the frame of the bridge, after 10 seconds have elapsed. b) the position vectors of the front of train B and the centre of the bridge in the frame of train A, after a further 10 seconds have elapsed. c) the speed and direction of train B and the bridge in the frame of train A.
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