The acceleration of a particle starting from rest varies with time according to the relation A = – aω2sinωt. The displacement of this particle at a time t will be:

1. 12(2sinωt)t2

2. aωsinωt

3. aωcosωt

4. asinωt

Subtopic:  Non Uniform Acceleration |
 60%
From NCERT
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If the velocity of a particle is (10 + 2t2) m/s, then the average acceleration of the particle between 2 sec and 5 sec is:

(1) 2 m/s2

(2) 4 m/s2

(3) 12 m/s2

(4) 14 m/s2

Subtopic:  Acceleration |
 54%
From NCERT
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A thief is running away on a straight road in a jeep moving with a speed of 9 ms–1. A policeman chases him on a motor cycle moving at a speed of 10 ms–1. If the instantaneous separation of the jeep from the motorcycle is 100 m, how long will it take for the policeman to catch the thief?

1. 1 s 2. 19 s
3. 90 s 4. 100 s
Subtopic:  Relative Motion in One Dimension |
 83%
From NCERT
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A car A is travelling on a straight level road with a uniform speed of 60 km/h. It is followed by another car B which is moving with a speed of 70 km/h. When the distance between them is 2.5 km, the car B is given a deceleration of 20 km/h2. After how much time will B catch up with A

(1) 1 hr

(2) 1/2 hr

(3) 1/4 hr

(4) 1/8 hr

Subtopic:  Acceleration |
 66%
From NCERT
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The speed of a body moving with uniform acceleration is u. This speed is doubled while covering a distance S. When it covers an additional distance S, its speed would become

(1) 3u

(2) 5u

(3) 11u

(4) 7u

Subtopic:  Uniformly Accelerated Motion |
 56%
From NCERT
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Two trains one of length 100 m and another of length 125 m, are moving in mutually opposite directions along parallel lines, meet each other, each with speed 10 m/s. If their acceleration are 0.3 m/s2 and 0.2 m/s2 respectively, then the time they take to pass each other will be

1.  5 s
2.  10 s
3.  15 s
4.  20 s

Subtopic:  Relative Motion in One Dimension |
 68%
From NCERT
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A body starts from rest with uniform acceleration. If its velocity after n second is v, then its displacement in the last two seconds is

(1) 2v(n+1)n

(2) v(n+1)n

(3) v(n-1)n

(4) 2v(n-1)n

Subtopic:  Acceleration |
 65%
From NCERT
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A particle is moving in a straight line and passes through a point O with a velocity of 6 ms–1. The particle moves with a constant retardation of 2 ms–2 for 4 s and there after moves with constant velocity. How long after leaving O does the particle return to O

(1) 3s

(2) 8s

(3) Never

(4) 4s

Subtopic:  Acceleration |
 57%
From NCERT
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A particle is projected with velocity v0 along x-axis. The deceleration of the particle is proportional to the square of the distance from the origin i.e., a=αx2. The distance at which the particle stops is :

1.  3v02α
2.  3vo2α13
3.  3v022α
4.  3v022α13  

Subtopic:  Non Uniform Acceleration |
 60%
From NCERT
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A body is projected vertically up with a velocity v and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are

(1) v/2 and v/2

(2) 0 and v/2

(3) 0 and 0

(4) v/2 and 0

Subtopic:  Average Speed & Average Velocity |
 86%
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