13-4 Motion in 3-D - 2/16 0 = 2-y 2/16 y 2/16 = 2 y 2 = 32...

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13.4 Motion in 3-D - Path of the moving object r -> (t) = <2-t,4(t) 1/2 > <= The equation of the path Suppose @ P(t=1) **t is time - Velocity of the object? - Acceleration of the object? - Speed? r -> (t) = r -> ' (t) = <-1, 2t -1/2 > = <-1, 2/(t) 1/2 > | t=1 = <-1,2> (1) t = 20x (2) y 2 = 16t -sub (2) into (1) y 2 / 16 = 2-x x = 2 - y
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Unformatted text preview: 2 /16 0 = 2-y 2 /16 y 2 /16 = 2 y 2 = 32 y = (32) 1/2 Q: is V-> perp. to a-> ? A: NO Q 2 : When is V-> perp. to a-> true? A: When ||V-> || is constant. a-> (t) = v-> ' (t) = <0,-t-3/2 > = <0,-1/t 3/2 > | t=1 = <0,-1> v-> (dot) a-> = 0 <0,-1> (dot) <-1,2> = 0-2 != -2...
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