SOLUTION: The x- and y-coordinates of a moving particle are given by two parametric equations. x = 3t2 + t y = 2 – 6t Find the magnitude and directio

Algebra ->  Trigonometry-basics -> SOLUTION: The x- and y-coordinates of a moving particle are given by two parametric equations. x = 3t2 + t y = 2 – 6t Find the magnitude and directio      Log On


   

Question 964650: The x- and y-coordinates of a moving particle are given by two parametric equations.
x = 3t2 + t
y = 2 – 6t
Find the magnitude and direction of velocity at t = 3 sec. Distance is measured in meters. Round your answers to one decimal place and don't forget to use the degree symbol.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
dx%2Fdt=6t%2B1
dx%2Fdt=6%283%29%2B1
dx%2Fdt=18%2B1
dx%2Fdt=19
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.
dy%2Fdt=-6
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abs%28V%29=sqrt%28%28dx%2Fdt%29%5E2%2B%28dy%2Fdt%29%5E2%29
abs%28V%29=sqrt%2819%5E2%2B%28-6%29%5E2%29
abs%28V%29=sqrt%28361%2B36%29
abs%28V%29=sqrt%28397%29m%2Fs
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.
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theta=tan%5E%28-1%29%28%28dy%2Fdt%29%2F%28dx%2Fdt%29%29
theta=tan%5E%28-1%29%28-6%2F19%29
theta=342.5degrees