How to Draw an Acceleration vs Displacement Graph?

[hav0c]

Homework Statement

The graph is as folllows-(SEE ATTACHMENT)
Q.draw acceleration vs disp. graph.

Homework Equations

Basic equations of motion, basic calculus

The Attempt at a Solution

I have tried to write a linear equation in v and s and then differentiating it w.r.t. to time. but I am not sure if this is the correct way to do it. It gives me a positive slope and -ve y intercept.
Also if there is/are any other ways please do tell

 

[darkxponent]

first write the v-s equation, but do not diffrentiate it with time(as it would add one more variable which is not needed)

Hint: What is the relation between v,a and s?

 

[hav0c]

thanks for your reply.
i have solved the question.
1 doubt though which extra variable is generated? on differentiation
v becomes a
s becomes v
constant is eliminated

 

[darkxponent]

thanks for your reply.
i have solved the question.
1 doubt though which extra variable is generated? on differentiation
v becomes a
s becomes v
constant is eliminated

I thought 't" would create some some problems but thanks it is eliminated. You can also do it using the relation a = v*dv/ds. This was what i was referring to!