How do you find acceleration and velocity given a position vector, r,
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How do you find acceleration and velocity given a position vector, r,

[From: ] [author: ] [Date: 11-04-26] [Hit: ]
i asked this before but it got deleted, ive got no idea why...magnitude of acceleration vector = [ (-6)^2 + 12^2]^.5 = 180^.......
the specific question involves r = (t^4 - 3t^3)i + (6t^2 - 2t)j

and finding the acceleration at t=1 and finding the velocity.

im assuming finding the accelaration involves subbing t=1 into the r = thing and then saying thats the answer for accelaration.

finding the velocity i've got no idea about doing, i think it's integrating the answer i get for accelration.. but how do you do that?

i asked this before but it got deleted, i've got no idea why...

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v=dr/dt = (4t^3-9t^2)i + (12t-2)j
a=dv/dt = (12t^2-18t)i+12j
a(t=1) = (12(1)^2-18(1))i+12j = -6i+12j
magnitude of acceleration vector = [ (-6)^2 + 12^2]^.5 = 180^.5
direction of acceleration vector = arctan(12/-6) = arctan(-2)
in the second quadrant
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keywords: and,find,you,position,acceleration,given,How,do,velocity,vector,How do you find acceleration and velocity given a position vector, r,
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