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 October 14th, 2016, 08:44 AM #11 Senior Member   Joined: Apr 2014 From: Glasgow Posts: 2,161 Thanks: 734 Math Focus: Physics, mathematical modelling, numerical and computational solutions Much better, but still not perfect... Firstly... the acceleration at t=4 is the same as the acceleration at t = 3. It's also the same at point t=4.5, t=4.9, t=4.999.... so... basically, the acceleration shouldn't change until t=5, at which point the acceleration jumps to zero. Secondly... regarding the final part of the curve. Consider the following situation. Take an object like a pencil or ruler and drop it. As soon as you let go, it will start to accelerate at a constant rate under gravity. Because it's accelerating at a constant rate, the velocity increases in a linear fashion. If you look at the position, the position increases like a parabolic curve (because the distance it can cover is increasingly very rapidly, like the $\displaystyle y = x^2$ curve). So you have something like: acceleration -> constant velocity -> linear position -> $\displaystyle x^2$ curve (ish) There's a similar pattern for constant velocity: acceleration -> 0 velocity -> constant position -> linear See? there's a pattern. As you consider position to velocity to acceleration, you have 0 -> constant -> linear -> $\displaystyle x^2$ curve. So now... if the velocity is a $\displaystyle x^2$-like curve, what do you think the acceleration is going to be like? Thanks from Vaptor Last edited by Benit13; October 14th, 2016 at 08:49 AM. October 14th, 2016, 11:18 AM #12 Global Moderator   Joined: Dec 2006 Posts: 20,972 Thanks: 2222 The velocity curve for A when t > 8 doesn't look parabolic to me, though there is some similarity to a parabola. Its slope for t = 10 is hard to estimate accurately, but appears to be about 9m/s². Vehicle A's acceleration vs time graph for 8 < t < 11 seems to be a gentle curve rather than a straight line. Tags acceleration, distance, kinematics, question, velocity Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post jiasyuen Applied Math 3 May 13th, 2015 06:50 AM hyperbola Physics 6 March 17th, 2015 07:47 AM hyperbola Physics 3 March 16th, 2015 09:56 PM hyperbola Physics 1 March 14th, 2015 05:19 PM MattJ81 Algebra 4 September 3rd, 2011 01:35 AM

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