 #1
iceninja3
 6
 4
 Homework Statement:
 The velocity versus position plot of a particle is shown on the right. Which of the following choices is the correct acceleration vs position plot of the particle (picture attached)?
 Relevant Equations:

dv/dt = a
dx/dt = v
The answer is E. I was initially very confused as to why the answer was not A but realized that the graph was velocity vs position (rather than velocity vs time) which means I can't simply take the derivative of the given graph.
One thing I tried was writing out the equation first(c being a constant):
v = cx
*differentiating both sides with respect to time*
a = c•(v) = (c^2)•x
So a constant times x which rules out choices B and D.
Having recognized that I am still not sure how to move forward to prove to myself the answer is E. Any hints?