The position vector of a butterfly that is flying parallel to the ground is given as a function of time by πβ= [2.90 π + (0.0900 π/π ^2)π‘^2]πΜ β (0.0150 π/π ^3)π‘^3πΜ
a. At what value of π‘ does the velocity vector of the insect make an angle 30.0Β° clockwise from the +x-axis?
b. At the time calculated in (a), what are the magnitude and direction of the acceleration vector of the insect?
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