SO i basically need to know what the graph of velocity vs time is..and i'm supposed ot do this numerically using maple...though if anyone has some basic intuition about what the graph should look like, even that would be nice.(adsbygoogle = window.adsbygoogle || []).push({});

Anyways, i'm unsure of how to graph it

Basically i have [tex]x_dot^2 = \frac {g(2bx-x^2)}{b-x} [/tex] and that

[tex]x_doubledot = g + \frac {g(2bx-x^2)}{2(b-x)^2} [/tex]

and i thought i could just integrate the first one and get a function relating x and t, and then use that in the second equation to get an equation for velocity in terms of just time...because otherwise how am i supposed to graph it.

Anyways, for those who are wondering this graph of velocity vs time is supposed to represent a simple physical problem of a rope whose ends are attached to two ends A and B on a ceiling..and then B is cut loose and allowed to fall. So i thought the greatest acceleration would occur at the beginning and decrease as more tension occurs in the rope during the later portions with a rapid falloff in velocity at the end.

ANyways, thoughts or ideas would be nice..not really sure what to do

ps- xdot = velocity and x double dot = acceleration

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Rope Velocity question

**Physics Forums | Science Articles, Homework Help, Discussion**