- #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?