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“A butterfly flies along with a velocity vector given by v = (a-bt²) Î + (ct)...

“A butterfly flies along with a velocity vector given by v = (a-bt²) Î + (ct) ĵ where a=1.4 m/s, b=6.2 m/s³, and c=2.2 m/s². When t= 0 seconds, the butterfly is located at the origin. Calculate the butterfly’s position vector and acceleration vector as functions of time. What is the y-coordinate as it flies over x = 0 meters after t = 0 seconds?”

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