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...
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
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