# A particle is moving along a straight line such that its position depends on time as $$x=1-at+bt^{2}$$, where $$a=2~\text{m/s}$$, $$b=1~\text{m/s}^2$$. The distance covered by the particle during the first $$3$$ seconds from start of the motion will be: 1. $$2~\text{m}$$ 2. $$5~\text{m}$$ 3. $$7~\text{m}$$ 4. $$4~\text{m}$$

Subtopic:  Instantaneous Speed & Instantaneous Velocity |
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A body is projected vertically upwards with a speed $$v.$$ The distance travelled by the body in the last second of upward journey is the same as that of:

 1 distance travelled in last second of downward journey 2 distance travelled in first second of upward journey 3 distance travelled in first second of downward journey 4 both (1) and (2)
Subtopic:  Distance & Displacement |
68%
From NCERT
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A particle starting from rest undergoes a rectilinear motion with an acceleration $$a$$. The variation of acceleration with time $$t$$ is shown in the diagram. The final velocity of the object during its motion is:

1. $$6$$ m/s
2. $$16$$ m/s
3. $$24$$ m/s
4. $$12$$ m/s
Subtopic:  Acceleration |
84%
From NCERT
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An object moves along a straight line. It travels $$30$$ m in $$5$$ s and $$60$$ m in the next $$10$$ seconds. The average speed of the object is:
1. $$6$$ m/s
2. $$10$$ m/s
3. $$12$$ m/s
4. $$9$$ m/s
Subtopic:  Average Speed & Average Velocity |
91%
From NCERT
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A falling stone from rest takes $$0.2~\text{s}$$ to fall past a window on path which is $$1~\text{m}$$ high. From how far above the top of window, was the stone dropped?
1. $$\frac45~\text{m}$$
2. $$\frac54~\text{m}$$
3. $$\frac95~\text{m}$$
4. $$\frac59~\text{m}$$
Subtopic:  Uniformly Accelerated Motion |
57%
From NCERT
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The displacement-time $$(s\text-t)$$ graphs of two moving particles $$A~\text{and}~B$$ make angles of $$30^\circ$$ and $$45^\circ$$ with the $$x\text-$$axis as shown in the figure. The ratio of their respective velocity $$\left(\dfrac{v_A}{v_B}\right)$$ is:

1. $$1: \sqrt{3}$$
2. $$\sqrt{3}: 1$$
3. $$1:1$$
4. $$1:2$$
Subtopic:  Graphs |
71%
From NCERT
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Given below are two statements:
 Assertion (A): Adding a scalar to a vector of the same dimension is a meaningful algebraic operation. Reason (R): Displacement can be added to distance.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Distance & Displacement |
68%
From NCERT
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Given below are two statements:
 Assertion (A): A particle having zero acceleration must have a constant speed. Reason (R): A particle having constant speed must have zero acceleration.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Acceleration |
50%
From NCERT
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Select the correct option based on the statements given below:
 Assertion (A): A body can have acceleration even if its velocity is zero at a given instant of time. Reason (R): A body is momentarily at rest when it reverses its direction of motion.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Uniformly Accelerated Motion |
60%
From NCERT
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Given below are two statements:
 Assertion (A): If the average velocity of a particle is zero in a time interval, it is possible that the instantaneous velocity is never zero in the interval. Reason (R): If the average velocity of a particle moving on a straight line is zero in a time interval then at least for one moment the instantaneous velocity will also be zero in the interval.
 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is True but (R) is False. 4 Both (A) and (R) are False.
Subtopic:  Average Speed & Average Velocity |
From NCERT
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