Question

The area of acceleration time graph indicates:

Answer 1

Acceleration-Time Graph:

1. Acceleration -Time Graph shows the acceleration plotted against time for a particle moving in a straight line.
2. In the acceleration-time graph, acceleration values are on the y-axis, and time values are on the x-axis.
3. The area under the graph gives the change in the velocity of the object in the given interval of time.
4. The slope of an acceleration time graph represents a quantity called the jerk. This is also known as the rate at which acceleration changes.

As we know,

$a=\frac{d}{dt}\left(v\right)$, where $a=$acceleration, $v=$velocity.

Or $dv=a.dt$,

$$\begin{gathered} \Rightarrow {\int }_{v_1}^{v_2}dv=a{\int }_{t_1}^{t_2}dt \\ \Rightarrow \left(v_2-v_1\right)=a\left(t_2-t_1\right) \end{gathered}$$

i. e Change in velocity

Thus, The area of the acceleration time graph indicates the change in the velocity.