- #1
danny_manny
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Homework Statement
Use the given information to find the position and velocity
vectors of the particle.
a(t) = −cos t i − sin t j; v(0) = i; r(0) = j
Homework Equations
The Attempt at a Solution
Ok first step integrate a(t).
which i get to be
-sin(t)i +cos(t)j + c
now using the initial condition v(0) = i
i get v(t) = 1-sin(t)i +cos(t)j
now integrate v(t)
= (cos(t)+t)i +sin(t)j
using initial condition r(0) = j
r(t) = (cos(t) + t)i + (sin(t)+1)j
they are my two answers in bold but the back of my book has different answers and i don't know what's going wrong.
Thanks for the assistance