Posted by shasha on Saturday, March 12, 2011 at 7:03am.
A particle moves on the xaxis with an acceleration, a=(6t4)ms⁻1. Find the position and velocity of the particle at t=3 , if the particle is at origin and has a velocity of when t=0

Diff eqn IVP  MathMate, Saturday, March 12, 2011 at 10:22am
This is an IVP (initial value problem).
x"(t)=(6t4) ms^{2} ....(1)
"...if the particle is at origin and has a velocity of ? when t=0."
Integrate (1) with respect to t to find x'(t) and x(t). Do not forget the integration constants at each integration.
Use the initial conditions
x(0)=0 and x'(0)=(???)
to find C1 and C2 (int. constants).
When C1 and C2 are known, evaluate
x(3) and x'(3) as required.

Diff eqn IVP  shasha, Saturday, March 12, 2011 at 5:45pm
thanzz again

Diff eqn IVP :)  MathMate, Sunday, March 13, 2011 at 7:27pm
:)
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