Q 3.22     Figure  gives a speed-time graph of a particle in motion along a constant direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude? In which interval is the average speed greatest ? Choosing the positive direction as the constant direction of motion, give the signs of v and a in the three intervals. What are the accelerations at the points A, B, C and D ?

 

Answers (1)
S Sayak

The average acceleration greatest in magnitude in interval 2 as in this interval the magnitude of change in speed is the greatest.

The average speed is greatest in interval 3.

  v a
Interval 1 Positive

Positive

Interval 2

Positive Negative
Interval 3 Positive Zero

In interval 1 speed increases, in interval 2 it decreases and in interval 3 it remains constant.

At points, A, B, C and D acceleration is zero as at these points the curve is parallel to the time axis.

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