Read the assertion and reason carefully to mark the correct option out of the options given below:

(1) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(2) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(3) If assertion is true but reason is false.

(4) If the assertion and reason both are false.

(5) If assertion is false but reason is true.

Assertion : Displacement of a body is vector sum of the area under velocity-time graph.

Reason : Displacement is a vector quantity.

Subtopic:  Graphs |
 67%
From NCERT
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Read the assertion and reason carefully to mark the correct option out of the options given below:

(1) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(2) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(3) If assertion is true but reason is false.

(4) If the assertion and reason both are false.

(5) If assertion is false but reason is true.

Assertion : The average speed of an object may be equal to arithmetic mean of individual speed.

Reason : Average speed is equal to total distance travelled per total time taken.

Subtopic:  Average Speed & Average Velocity |
From NCERT
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Read the assertion and reason carefully to mark the correct option out of the options given below:

(1) If both assertion and reason are true and the reason is the correct explanation of the assertion.

(2) If both assertion and reason are true but reason is not the correct explanation of the assertion.

(3) If assertion is true but reason is false.

(4) If the assertion and reason both are false.

(5) If assertion is false but reason is true.

Assertion : The average and instantaneous velocities have same value in a uniform motion.

Reason : In uniform motion, the velocity of an object increases uniformly.

Subtopic:  Average Speed & Average Velocity |
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A car travels a distance S on a straight road in two hours and then returns to the starting point in the next three hours. Its average velocity is

(1) S/5

(2) 2S/5

(3) S/2 + S/3

(4) None of the above

Subtopic:  Average Speed & Average Velocity |
 63%
From NCERT
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A particle moves along the sides \(AB,BC,CD\) of a square of side \(25~\text{m}\) with a speed of \(15~\text{ms}^{-1}\). Its average velocity is:


1. \(15~\text{ms}^{-1}\)
2. \(10~\text{ms}^{-1}\)
3. \(7.5~\text{ms}^{-1}\)
4. \(5~\text{ms}^{-1}\)

Subtopic:  Average Speed & Average Velocity |
 56%
From NCERT
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A body has speed V, 2V and 3V in first 1/3 of distance S, second 1/3 of S and third 1/3 of S respectively. Its average speed will be

(1) V

(2) 2V

(3) 1811V

(4) 1118V 

Subtopic:  Average Speed & Average Velocity |
 78%
From NCERT
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If the body covers one-third distance at speed v1, next one third at speed v2 and last one third at speed v3, then average speed will be

(1) v1v2+v2v3+v3v1v1+v2+v3

(2) v1+v2+v33

(3) v1v2v3v1v2+v2v3+v3v1

(4) 3v1v2v3v1v2+v2v3+v3v1  

Subtopic:  Average Speed & Average Velocity |
 82%
From NCERT
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The displacement of the particle varies with time according to the relation x=kb[1ebt]. Then the velocity of the particle is

(1) k(ebt)

(2) kb2ebt

(3) kbebt

(4) None of these 

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
 58%
From NCERT
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The acceleration of a particle starting from rest varies with time according to the relation \(A= - a\omega^2\sin \omega t\). The displacement of this particle at a time \(t\) will be:
1. \(-\frac{1}{2}\left(a\omega^2\sin\omega t\right)t^2\) 2. \(a\omega \sin \omega t\)
3. \(a\omega \cos \omega t\) 4. \(a\sin \omega t\)
Subtopic:  Non Uniform Acceleration |
 60%
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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 |
 55%
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