Can anyone help me specifically with isolating t and getting the cartesian form of equations? Such as in 1/2sint and 1/2cost.

Also, can some explain the basics of plane motion?

Any help would be greatly appreciated

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- May 12th 2009, 11:05 PMaervidPlane motion w/ parametric equations
Can anyone help me specifically with isolating t and getting the cartesian form of equations? Such as in 1/2sint and 1/2cost.

Also, can some explain the basics of plane motion?

Any help would be greatly appreciated - May 13th 2009, 07:13 AMHallsofIvy
The basic idea is to eliminate t from the equations x= f(t), y= g(t), however you can. Here, assuming you mean x= (1/2)sin t (as opposed to 1/(2sint)) and y= (1/2)cos t, then because for all t. You should be able to recognize as a circle with center at (0,0) and radius 1/2.

You question about the "basics of plane motion" is very general. If x= f(t) and y= g(t), then the "position vector" is . Assuming t is "time", then the "velocity vector" is and the acceleration vector is .

If you are given some force function, then you also need to use the equation . - May 13th 2009, 06:53 PMaervid
Oh ok so its basically the same as linear motion involving S(t), V(t), and A(t). And then to get the direction of the V(t) and A(t) we divide j by i right?