In the given velocity (V) versus time (t) graph, accelerated and decelerated motions are respectively represented by line segments
CD and AB
CONCEPT :
- The rate of change of velocity is called as acceleration of the body.
\(a = \frac{{{v_2} - {v_1}}}{{{t_2} - {t_1}}}\)
Where v 2= Final velocity and v 1= Initial velocity of an object at time \({t_2},{t_1}\) respectively
- It is a vector quantity because it has both magnitude and direction .
EXPLANATION :
This graph shows three cases when
- When the body is moving with constant velocity , there won't be any acceleration and it can be shown as a straight line on the graph as we can see between point BC.
- If we get ascending or increasing slope on the graph then, it shows that the object is accelerating also we can see this between point CD.
- If we get descending or decreasing slope on the graph, then it shows that the object is decelerating which we can see between point AB.
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