HW 05 Diff. and Integ. of Vector Fns.: Problem 7 Previous Problem List Next poin

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HW 05 Diff. and Integ. of Vector Fns.: Problem 7 Previous Problem List Next point) Find the velocity v() and speed lv()ll of a particle whose motion is described by x t2 4t 4, y-6, z 10t -30t? Note: You can eam partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor Pago generated at 02/03/2017 at 06:01pm CST WeBwork c 1996-2015 ftheme: math4 ww version 2.10 pg,version 2.10 The WeBWork Project

Explanation / Answer

we have given position vector x=t^2-4t+4,y=6,z=10t^3-30t^2

Let position vector s=<x(t),y(t),z(t)>

s=<t^2-4t+4,6,10t^3-30t^2>

Then velocity vector is v(t)=s'

v(t)=<2t-4,0,30t^2-60t>

||v(t)||=sqrt((2t-4)^2+(0)^2+(30t^2-60t)^2)=sqrt(4t^2+16-16t+900t^4+3600t^2-3600t^3)

||v(t)||=sqrt(900t^4-3600t^3+3604t^2-16t+16)

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