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Calc III Ch12 Notes_Part7

Calc III Ch12 Notes_Part7 - 12.3 — Velocity and...

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Unformatted text preview: 12.3 — Velocity and Acceleration The velocity vector and acceleration vector are analogous to what we learned in Calc 1 (proofs are in the book). So, ._\ W) = r '(t) = X'(t)i + y'(t)j 30): Vl(i§) :. (”6%) speed = ||V(t)” = llr'(t)|| = é.” (/6 )J z +[y/Kfjj 2 D15 (M W D 3 Ex: Find the velocity, acceleration, and speed of the object at the given t—value. Sketch the velocity and acceleration vectors on the position graph. r(t)=ti—t2j att=2 r(t)=costi+3sintj att=7r/6 .. . - x: ”Izmétvtfi’wmfi , v04 a J w _.J.‘ £4? 2 3 UV 2 [:2 ...
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