Explanation:
The attached figure shows the acceleration time graph of an object. We known that the slope of the a-t graph gives the velocity of an object. The area under the a-t graph gives the velocity of object.
In x axis, time t = 30 s- 20 s = 10 s
In y axis, acceleration, [tex]a = 6 - 0=6\ m/s^2[/tex]
Area under the graph from 20 to 30 seconds is given by :
[tex]A=v=\dfrac{1}{2}\times 10\times 6[/tex]
v = 30 m/s
So, the change in speed of the object is 30 m/s. Hence, this is the required solution.
