Six particles situated at the corners of a regular hexagon of side a move at constant speed v. Each particle maintains a direction towards the particle at the next. The time which the particle will take to meet each other is

1. $\frac{2\mathrm{a}}{\mathrm{v}}\mathrm{sec}$

2. $\frac{\mathrm{a}}{\mathrm{v}}\mathrm{sec}$

3. $\frac{2\mathrm{a}}{3\mathrm{v}}\mathrm{sec}$

4. $\frac{3\mathrm{a}}{\mathrm{v}}\mathrm{sec}$

Concept Questions :-

Relative motion in 1-D

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Two men P & Q are standing at corners A & B of square ABCD of side 8 m. They start moving along the track with constant speed 2 m/s and 10 m/s respectively. The time when they will meet for the first time, is equal to:

(1) 2 sec

(2) 3 sec

(3) 1 sec

(4) 6 sec

Concept Questions :-

Relative motion in 1-D

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Two cars *A* and *B* are travelling in the same direction with velocities *v*_{1} and *v*_{2} $({v}_{1}>{v}_{2})$. When the car *A* is at a distance *d* behind car *B*, the driver of the car *A* applied the brake producing a uniform retardation *a.* There will be no collision when

1. $d<\frac{{({v}_{1}-{v}_{2})}^{2}}{2a}$

2. $d<\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

3. $d>\frac{{({v}_{1}-{v}_{2})}^{2}}{2a}$

4. $d>\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2a}$

Concept Questions :-

Relative motion in 1-D

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An elevator car, whose floor to ceiling distance is equal to 2.7 *m*, starts ascending with constant acceleration of 1.2 *ms*^{–2}. 2 *sec *after the start, a bolt begins falling from the ceiling of the car. The free fall time of the bolt is

(1) $\sqrt{0.54}\text{\hspace{0.17em}}s$

(2) $\sqrt{6}\text{\hspace{0.17em}}s$

(3) 0.7 *s*

(4) 1 *s*

Concept Questions :-

Relative motion in 1-D

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A student is standing at a distance of 50 metres from the bus. As soon as the bus begins its motion with an acceleration of 1*ms*^{–2}, the student starts running towards the bus with a uniform velocity *u*. Assuming the motion to be along a straight road, the minimum value of *u*, so that the student is able to catch the bus is

1. 5 *ms*^{–1}

2. 8 *ms*^{–1}

3. 10 *ms*^{–1}

4. 12 *ms*^{–1}

Concept Questions :-

Relative motion in 1-D

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A man is 45 *m* behind the bus when the bus starts accelerating from rest with acceleration of 2.5 *m/s*^{2}. With what minimum velocity should the man start running to catch the bus?** **

1. 12 *m/s*

2. 14 *m/s*

3. 15 *m/s*

4. 16 *m/s*

Concept Questions :-

Relative motion in 1-D

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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

(1) 10 s

(2) 4 *s*

(3) $2\sqrt{3}s$

(4) $4\sqrt{3}s$

PMT - 1999

Concept Questions :-

Relative motion in 1-D

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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 ** **

(1) 4 *s*

(2) 36 *s*

(3) 38 *s*

(4) 5 s

PMT - 1996

Concept Questions :-

Relative motion in 1-D

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A 210 meter long train is moving due North at a speed of 25*m/s*. A small bird is flying due South a little above the train with speed 5*m/s*. The time taken by the bird to cross the train is

(1) 6 *s*

(2) 7 *s*

(3) 9 *s*

(4) 10 *s*

Concept Questions :-

Relative motion in 1-D

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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

(1) 150 *m*/*s*

(2) 27 *m*/*s*

(3) 450 *m*/*s*

(4) 250 *m*/*s*

PMT - 2004

Concept Questions :-

Relative motion in 1-D

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