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

Concept Questions :-

Relative motion in 1-D
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Difficulty Level:

A train of 150 meter length is going towards north direction at a speed of 10 m/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

(1) 12 sec

(2) 8 sec

(3) 15 sec

(4) 10 sec

Concept Questions :-

Relative motion in 1-D
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Difficulty Level:

A boat is moving with velocity of $3\stackrel{^}{i}+4\stackrel{^}{j}$ in river and water is moving with a velocity of $-3\stackrel{^}{i}-4\stackrel{^}{j}$ with respect to ground. Relative velocity of boat with respect to water is :

(1) $-6\stackrel{^}{i}-8\stackrel{^}{j}$

(2) $6\stackrel{^}{i}+8\stackrel{^}{j}$

(3) $8\stackrel{^}{j}$

(4) $6\stackrel{^}{i}$

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The distance between two particles is decreasing at the rate of 6 m/sec. If these particles travel with same initial speeds and in the same direction, then the separation increases at the rate of 4 m/sec. The particles have speeds as

(1) 5 m/sec ; 1 m/sec

(2) 4 m/sec ; 1 m/sec

(3) 4 m/sec ; 2 m/sec

(4) 5 m/sec ; 2 m/sec

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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

(1) $t=\frac{{v}_{1}-{v}_{2}}{a}$

(2) ${t}_{1}=\frac{{v}_{1}^{2}-{v}_{2}^{2}}{2}$

(3) None

(4) Both

Concept Questions :-

Relative motion in 1-D
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Difficulty Level:

A stone falls from a balloon that is descending at a uniform rate of 12 m/s. The displacement of the stone from the point of release after 10 sec is

(1) 490 m

(2) 510 m

(3) 610 m

(4) 725 m

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A ball is dropped on the floor from a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is

(1) 2100 m/sec2 downwards

(2) 2100 m/sec2 upwards

(3) 1400 m/sec2

(4) 700 m/sec2

Concept Questions :-

Acceleration
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A body A is projected upwards with a velocity of 98 m/s. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

(1) 6 sec

(2) 8 sec

(3) 10 sec

(4) 12 sec

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

Two bodies of different masses ma and mb are dropped from two different heights a and b. The ratio of the time taken by the two to cover these distances are

(1) a : b

(2) b : a

(3) $\sqrt{a}:\sqrt{b}$

(4) ${a}^{2}:{b}^{2}$

Concept Questions :-

Uniformly accelerated motion
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Difficulty Level:

A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of

(1) 3 s

(2) 5 s

(3) 7 s

(4) 9 s

Concept Questions :-

Uniformly accelerated motion