Motion in a Straight Line MCQs for NEET — Physics Questions with Answers

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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. 

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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 

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Explanation

If the train is moving towards the east and the car is moving towards the north with the same speed, then from the perspective of the passenger in the train, the car will appear to be moving in the west-north direction due to the relative motion between the train and the car.

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

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Explanation

The two car (say A and B) are moving with same velocity, the relative velocity of one (say B) with respect to the other A,​ vBA=vBvA=vv=0

So the relative separation between them (= 5 km) always remains the same.

Now if the velocity of car (say C) moving in opposite direction to A and B, is vC relative to ground then the velocity of car C relative to A and B will be vrel.=vCv

But as v is opposite to vC

So vrel=vc(30)=(vC+30)km​​​/​​hr.

So, the time taken by it to cross the cars A and B t=dvrel​       460=5vC+30  

   vC=45km/hr.

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

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Explanation

When the man is at rest w.r.t. the ground, the rain comes to him at an angle 30° with the vertical. This is the direction of the velocity of raindrops with respect to the ground.

Here vrg= velocity of rain with respect to the ground

vmg= velocity of the man with respect to the ground.

and vrm= velocity of the rain with respect to the man,

We have vr  g=vrm+vmg ......(i)

Taking horizontal components equation (i) gives

vr ​gsin30°=vmg=10km/hr

or vrg=10sin30°=20km/hr

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

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Explanation

Relative velocity =vbw=vb-vw= (3i + 4j) – (– 3i – 4j) = 6i + 8j

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: 

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Explanation

Relative velocity of parrot with respect to train

= 5(10)=5+10=15m/sec

Time taken by the parrot =dvrel.=15015=10sec.

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

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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 1200 with the direction of flow of water. The speed of water in the stream is:

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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

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Explanation

Relative speed of police with respect to thief

=109=1m/s

Instantaneous separation = 100 m

Time = distanceveclotiy=1001=100sec.

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 

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