1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Displacement vs time graph for a given equation of acceleration

  1. Sep 30, 2014 #1
    1. The problem statement, all variables and given/known data
    The accompanying graph of position x versus time t represents the motion of a particle. If p and q are both
    positive constants, the expression that best describes the acceleration a of the particle is
    x vs t.png
    2. Relevant equations
    (A) a = – - p – - qt (B) a = - –p + qt (C) a = p + qt (D) a = p – - qt

    3. The attempt at a solution
    option D is mentioned correct in a given solution of the problem. If it is correct then dv/dt = p - qt on itegration will give v = pt -0.5qt^2 +c., for inflexion pts on x-t curve v =0 ,this gives qt^2-2pt-2c=0 , one of the two roots of which becoming negative, which is not realistic with the given graph. I need help to know the real fault made by me.
     
  2. jcsd
  3. Sep 30, 2014 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    You mean extremum pts, right?
    You are assuming c is positive? What is the sign of v at t=0?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Displacement vs time graph for a given equation of acceleration
Loading...