Mark the correct statements for a particle going on a straight line:

(a) if the velocity and acceleration have opposite sign, the object is slowing down.
(b) if the position and velocity have opposite sign, the particle is moving towards the origin.
(c) if the velocity is zero at an instant, the acceleration should also be zero at that instant.
(d) if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval.

Choose the correct option:

1. (a), (b) and (c) 2. (a), (b) and (d)
3. (b), (c) and (d) 4. all of these
Subtopic:  Acceleration |
 66%
Level 2: 60%+
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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 |
 57%
Level 3: 35%-60%
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Given below are two statements:
 
Assertion (A): A body may have velocity that changes in both magnitude and direction, yet still experience constant acceleration.
Reason (R): Acceleration is defined as the rate of change of speed with respect to time.
 
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%
Level 3: 35%-60%
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Given below are two statements: 
Assertion (A): In the presence of air friction, if the ball is thrown vertically upwards, the time of ascent is less than the time of descent.
Reason (R): Force due to air friction always acts opposite to the motion of the body.
  
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 |
 70%
Level 2: 60%+
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Given below are two statements: 
Assertion (A): Parabolic curve of velocity versus time implies that its acceleration varies linearly with time.
Reason (R): Parabolic curve represent quadratic function and acceleration is the first derivative of velocity so the acceleration versus time graph will be linear.
 
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 |
 64%
Level 2: 60%+
Hints