EASY
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IMPORTANT
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A police jeep is chasing a thief with velocity of 45 km h-1, a thief in another jeep is moving with velocity 153 km h-1. Police fires a bullet with muzzle velocity of 180 m s-1. The velocity with which it will strike the car of the thief is

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Important Questions on Motion in One Dimension

MEDIUM
JEE Main
IMPORTANT
The distance between two particles is decreasing at the rate of 6 m s-1. If these particles travel with the same speeds and in the same direction, then the separation increases at the rate of 4 m s-1. The particles have speeds as
MEDIUM
JEE Main
IMPORTANT
A boat moves with a speed of 4 km h-1 relative to water in a river, flowing with a speed of 3 km h-1 and having a width of 1 km. The minimum time taken around a round trip is
EASY
JEE Main
IMPORTANT
An express train is moving with a velocity v1. Its driver finds another train moving on the same track in the same direction with velocity v2. To escape collision, the driver applies a retardation a on the train. The minimum time of escaping the collision will be
MEDIUM
JEE Main
IMPORTANT
A thief is running away on a straight road in a jeep moving at a speed of 9 m s-1. A policeman chases him on a motorcycle moving at the speed of 10 m s-1. If the initial separation of the jeep from the motorcycle is 100 m, how long will it take for the police to catch the thief?
EASY
JEE Main
IMPORTANT
Two trains, one of length 100 m and another of length 125 m, moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m s-1. If their accelerations are 0.3 m s-2 and 0.2 m s-2 respectively, then, the time they take to pass each other will be
EASY
JEE Main
IMPORTANT
Two cars are moving in the same direction with the same speed 30 km h-1. They are separated by a distance of 5 km. The speed of a car moving in the opposite direction, if it meets these two cars at an interval of 4 minutes will be
EASY
JEE Main
IMPORTANT
A boat takes 2 h to travel 8 km and back in still water. If the velocity of water is 4 km h-1, the time taken for going upstream 8 km and coming back is
MEDIUM
JEE Main
IMPORTANT
A man in a lift, ascending with an upward acceleration a, throws a ball vertically upwards with a velocity v, with respect to himself and catches it after t1 s. Afterwards when the lift is descending with the same acceleration a, acting downwards, the man again throws the ball vertically upwards with the same velocity with respect to him and catches it after t2 s. Which of the following statements is/are correct?