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question_answer1) Two trains, each 50 m long are travelling in opposite direction with velocity 10 m/s and 15 m/s. The time of crossing is [CPMT 1999; JIPMER 2000; RPET 2001]
question_answer2) A 120 m long train is moving in a direction with speed 20 m/s. A train B moving with 30 m/s in the opposite direction and 130 m long crosses the first train in a time [CPMT 1996; Kerala PET 2002]
question_answer3) A 210 meter long train is moving due North at a of 25m/s. A small bird is flying due South a little above the train with speed 5m/s. The time taken by the bird to cross the train is [AMU (Med.) 2001]
question_answer4) A police jeep is chasing with, velocity of 45 km/h a thief in another jeep moving with velocity 153 km/h. Police fires a bullet with muzzle velocity of 180 m/s. The velocity it will strike the car of the thief is [BHU 2003; CPMT 2004]
question_answer5) A boat is sent across a river with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is: [Pb. PET 2004]
question_answer6) A train of 150 meter length is going towards north direction at a speed of \[10m/\sec \]. A parrot flies at the speed of \[5\,\,m/\sec \] towards south direction parallel to the railway track. The time taken by the parrot to cross the train is [CBSE PMT 1992; BHU 1998]
question_answer7) A boat is moving with velocity of \[3\hat{i}+4\hat{j}\] in river and water is moving with a velocity of \[-3\hat{i}-4\hat{j}\] with respect to ground. Relative velocity of boat with respect to water is: [Pb. PET 2002]
question_answer8) The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same speeds and in the same direction, then the separation increase at the rate of 4 m/sec. The particles have speeds as [RPET 1999]
question_answer9) A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip is [J&K CET 2005]
question_answer10) For a body moving with relativistic speed, if the velocity is doubled, then [Orissa JEE 2005]
question_answer11) A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south. [BHU 2005]
question_answer12) A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is [J & K CET 2004]
question_answer13) An express train is moving with a velocity v1. Its driver finds another train is moving on the same track in the same direction with velocity v2. To escape collision, driver applies a retardation a on the train. the minimum time of escaping collision will be [RPET 2002]
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