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Let v and a denote the velocity and acceleration respectively of a body
a) A can be non zero when v = 0
b) A must be zero when v = 0
c) A may be zero when v ≠ 0
d) The direction of a must have some correlation with the direction of v.
Correct answer is option 'A,C'. Can you explain this answer?
Most Upvoted Answer
Let v and a denote the velocity and acceleration respectively of a bod...
A can be zero when velocity and vice-versa you can get that when you see a pendulum at mean a = 0 but v = max and at extreme a = max when v = 0. Also a “can” be zero when v is zero.
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Let v and a denote the velocity and acceleration respectively of a bod...
Explanation:

  • Option A: The acceleration of a body can be non-zero when its velocity is zero. For example, consider a ball thrown upwards. At the highest point, the velocity of the ball is zero, but the acceleration due to gravity is still acting on it. Hence, option A is correct.

  • Option B: This statement is incorrect. In some cases, the acceleration can be non-zero when the velocity is zero, as discussed above. Therefore, option B is not true.

  • Option C: It is possible for the acceleration to be zero when the velocity is not zero. For example, consider a car moving on a straight road at a constant speed. In this case, the velocity is not changing, so the acceleration is zero. Hence, option C is correct.

  • Option D: The direction of acceleration must have some correlation with the direction of velocity. For example, if a car is moving forward, and its acceleration is also in the forward direction, then its speed will increase. However, if the acceleration is in the opposite direction, then the car will slow down. Hence, option D is correct.


Therefore, options A and C are correct.
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