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A river has a steady speed of 0.700 m/s. A student swims upstream a distance of

ID: 1795457 • Letter: A

Question

A river has a steady speed of 0.700 m/s. A student swims upstream a distance of 1.00 kim and swlms back to the starting point (a) If the student can swim at a speed of 1.45 m/s in still wates, how long does the trip take? (b) How much time Is required in still water for the same length swim (c) Intuitively, why does the swim take longer when there is current? This answer has not been graded yet Need Help? Rone n How long does it take an automobile traveling in the left lane of a highway at 50.0 km/h to overtake (become even with) another car that is traveling in the right lane at 250 km/h when the cars' frent bumpers are initiailly 115 m apart? Need Help? Lws

Explanation / Answer

11) a) tup = 1000 / (1.45 - 0.700) = 1333.33 s

tdown= 1000 / (1.45 + 0.700) = 465.12 s

Total time = 1333 + 465 =  1.79 * 103 s = 1798 s

b) total time in still water t = d / v

= 2000 / 1.45 = 1.37 * 103 s = 1379 s

c) swim takes longer time when there is current because velocity of swimmer decreases

12) relative velocity = 50 - 25 = 25.0 km/h

t = d / v = 0.115 km / 25.0 km/h = 0.0046 h

= 16.56 s

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