My Math Forum  

Go Back   My Math Forum > Science Forums > Physics

Physics Physics Forum

Thanks Tree6Thanks
LinkBack Thread Tools Display Modes
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.
Benit13 is offline  
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.
skipjack is online now  

  My Math Forum > Science Forums > Physics

acceleration, distance, kinematics, question, velocity

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Kinematics Proving question. jiasyuen Applied Math 3 May 13th, 2015 06:50 AM
Harder kinematics question hyperbola Physics 6 March 17th, 2015 07:47 AM
Harder kinematics question no. 2 hyperbola Physics 3 March 16th, 2015 09:56 PM
Another Kinematics in 1D question hyperbola Physics 1 March 14th, 2015 05:19 PM
Kinematics Question MattJ81 Algebra 4 September 3rd, 2011 01:35 AM

Copyright © 2019 My Math Forum. All rights reserved.