The positions of two blocks at successive 0.20-second time intervals are represe

Question

The positions of two blocks at successive 0.20-second time intervals are represented by the numbered squares in the figure below. The blocks are moving toward the right. The accelerations of the blocks are related as follows: (A) The acceleration of "a" is greater than the acceleration of "b". (B) The acceleration of "a" equals the acceleration of "b". Both accelerations are greater than zero. (C) The acceleration of "b" is greater than the acceleration of "a". (D) The acceleration of "a" equals the acceleration of "b". Both accelerations are zero. (E) Not enough information is given to answer the question.

Explanation / Answer

Answer:

Option D:

The acceleration of "a" equals the acceleration of "b". Both accelerations are Zero.

Reason:

Acceleration is defined as rate of change of velocity and velocity is defined as rate of change of displacement.

Here the displacement of block "a" is same at every instance. Which implies that there is no change in velocity. Which implies that the acceleration is Zero.

Similarly, the displacement of block "b" is also same at every instance. Which implies that there is no change in velocity. Which implies that the acceleration is Zero.

Hence acceleration in both the cases is Zero.

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