Question

Identify the graph showing the particle has the greatest average acceleration.

Answer 1

I had thought it was V, but that was wrong.

Answer 2

By greatest average accleration, you're referring to the magnitude of the acceleration correct?

@iamsammybear

Answer 3

Yes, the largest average acceleration in terms of magnitude.

Answer 4

@iamsammybear From what we can see, it should be III. I will provide an explanation in a sec.

Answer 5

@iamsammybear Did you check yet?

Answer 6

It said 3 was wrong as well.
So I'm not really sure what its wanting.

Answer 7

Well this is interesting 0,o

Answer 8

Well let's see. Try I. I am pretty sure it should be correct. @iamsammybear

Answer 9

Yes, it accepted that one.

Answer 10

WOOT I knew it.

Answer 11

Basically the reason behind why I.) is correct is because if you take the derivative of velocity (acceleration) and plot and acceleration vs time graph, and then take the average acceleration by adding the values at each point in \(\bf 0 \le t \le 5\) and divide it by 5 - 0 = 5, you would notice that for options like II, the values would cancel out. But for I, they would be additive hence yielding the largest accleration.

@iamsammybear