Doubt by Ananya
Solution :
We know, a=dv/dt
In the first part of the acceleration-time graph, you can see that acceleration is constant and positive, which means that velocity must be increasing by constant amount with respect to time. Hence, a) and c) could be possible answers but b) and d) are not possible. Now, we need to choose the correct answer from a) and c) only.
In the second part of the acceleration-time graph, then you can see that acceleration is zero and as per the formula
a=dv/dt
0=dv/dt
It means that v=constant.
As you can clearly see that velocity-time graph of a) and b) both has velocity constant. So still both could be correct options.
a=dv/dt
0=dv/dt
It means that v=constant.
As you can clearly see that velocity-time graph of a) and b) both has velocity constant. So still both could be correct options.
In the third part of the acceleration time graph, we can see that acceleration again become constant and positive, so the velocity-time graph must be similar to the first part. a) could not be the correct because in this case the velocity is decreasing.
Hence, we can say that c) is the correct velocity graph of the given acceleration time graph.