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Vectors Test - 11

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    A swimmer can swim in still water with speed v and the river is flowing with velocity v/2. To cross the river in shortest distance, he should swim making angle θ with the upstream. What is the ratio of the time taken to swim across the shortest time taken to swim across the shortest time to that is swimming across over shortest distance ?
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    A steam boat goes across a lake and comes back (a) On a quite day when the water is still and (b) On a rough day when there is uniform air current so as to help the journey onward and to impede the journey back. if the speed of the launch on both days was same, in which case it will complete the journey in lesser time
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    Two trains along the same straight rails moving with constant speed 60 km/hr and 30 km/hr respectively towards each other. If at time t. = 0, the distance between them is 90 km, the time when they collide is
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  • Question 9
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    Position of a particle in a rectangular coordinate system is (3, 2, 5). Then, its position vector will be
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  • Question 10
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    Which of the following statement is true?
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