A particle travels so that its acceleration is given by a with rightwards harpoon with barb upwards on top equals 2 e to the power of negative 2 t end exponent space i with hat on top minus 3 cos t space j with hat on top space plus sin 2 t space k with hat on top
"\\vec a=2e^{-2t}\\vec i-3\\cos t\\vec j+\\sin 2t\\vec k,"
"\\vec v=-e^{-2t}\\vec i-3\\sin t\\vec j-0 .5\\cos 2t\\vec k."
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