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November 01, 2025, 03:15:44 pm
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Author Topic: vector  (Read 598 times)  Share 

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chickenfries

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vector
« on: November 09, 2014, 09:41:30 pm »
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Hey I have a question

Position vector 3sin (2t) i +2cos (2t) j where t is greater than 0 the max speed is????
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RKTR

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Re: vector
« Reply #1 on: November 09, 2014, 09:53:50 pm »
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Quote from: chickenfries on November 09, 2014, 09:41:30 pm
Hey I have a question

Position vector 3sin (2t) i +2cos (2t) j where t is greater than 0 the max speed is????
v(t) =6cos(2t) i -4sin(2t) j
speed = root [36cos^2(2t) +16sin^2(2t) ]
          =root[ 16 + 20cos^2(2t)]
  0<= cos^2(2t) <= 1
max speed when cos^2(2t) =1
max speed = root(36) =6
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