Two cars are moving in the same direction with the same speed 30 *km/hr.* 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

(1) 40* km/hr*

(2) 45* km/hr *

(3) 30* km/hr*

(4) 15 *km/hr *

Concept Questions :-

Relative motion

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A man standing on a road hold his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 *km/hr.* He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be

(1) 10 *km/hr*

(2) 20* km/hr *

(3) 30 *km/hr*

(4) 40* km/hr *

Concept Questions :-

Relative motion

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In the above problem, the speed of rain drops *w.r.t.* the moving man, will be

(1) $10/\sqrt{2}\text{\hspace{0.17em}}km/h$

(2) 5 *km/h*

(3) $10\sqrt{3}\text{\hspace{0.17em}}km/h$

(4) $5/\sqrt{3}\text{\hspace{0.17em}}km/h$

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A boat is moving with a velocity 3*i* + 4*j* with respect to ground. The water in the river is moving with a velocity – 3*i* – 4*j* with respect to ground. The relative velocity of the boat with respect to water is

(1) 8*j*

(2) – 6*i* – 8*j*

(3) 6*i* +*8j*

(4) $5\sqrt{2}$

PMT - 1998

Concept Questions :-

Relative motion

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A 150 m long train is moving to north at a speed of 10 m/s. A parrot flying towards south with a speed of 5 m/s crosses the train. The time taken by the parrot the cross to train would be:

(1) 30 s

(2) 15 s

(3) 8 s

(4) 10 s

PMT - 1992

Concept Questions :-

Relative motion

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A river is flowing from east to west at a speed of 5 m/min. A man on south bank of river, capable of swimming 10m/min in still water, wants to swim across the river in shortest time. He should swim

(1) Due north

(2) Due north-east

(3) Due north-east with double the speed of river

(4) None of these

Concept Questions :-

Relative motion

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A person, aiming to reach the exact opposite point on the other bank of a stream, is swimming with a speed of 0.5 *m*/*s* at an angle of 120^{0} with the direction of flow of water. The speed of water in the stream is:

1. 1 *m*/*s*

2. 0.5 *m*/*s*

3. 0.25 *m*/*s*

4. 0.433 *m*/*s*

PMT - 1999

Concept Questions :-

Relative motion

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A moves with 65 *km*/*h* while *B* is coming back of *A* with 80 *km*/*h*. The relative velocity of *B* with respect to *A* is

(1) 80 *km*/*h*

(2) 60 *km*/*h*

(3) 15 *km*/*h*

(4) 145 *km*/*h*

Concept Questions :-

Relative motion

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A thief is running away on a straight road in a jeep moving with a speed of 9 *m*/*s*. A police man chases him on a motor cycle moving at a speed of 10 *m*/*s*. If the instantaneous separation of jeep from the motor cycle is 100 *m*, how long will it take for the policemen to catch the thief

(1) 1 second

(2) 19 second

(3) 90 second

(4) 100 second

Concept Questions :-

Relative motion

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A man sitting in a bus travelling in a direction from west to east with a speed of 40 *km*/*h* observes that the rain-drops are falling vertically down. To the another man standing on ground the rain will appear** **

(1) To fall vertically down

(2) To fall at an angle going from west to east

(3) To fall at an angle going from east to west

(4) The information given is insufficient to decide the direction of rain.

PMT - 1999

Concept Questions :-

Relative motion

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