2005 hsc question 7(b) (iii) (1 Viewer)

[Arithela]

how do you sketch acceleration-time graph when given the specific velocity-time graph in this question?

 

[vds700]

solution to that paper is here:

http://www.boredofstudies.org/courses/maths/2u/1139495489_2005_Mathematics_HSC.pdf

Basically when the velocity is constant, a =0 , when v is increasing, a >0, when v is decreasing, a <0

 

[Arithela]

but isnt the velocity decreasing between t=2 and t=3?

 

[tommykins]

You're basically drawing the gradient function.
When theres a turning point, the acceleration is 0 as its maximum/minimum velocity.