Answer to Question #302857 in Physics for Lance

Question #302857

The position vector of a butterfly that is flying parallel to the ground is given as a function of time by π‘Ÿβƒ‘= [2.90 π‘š + (0.0900 π‘š/𝑠^2)𝑑^2]𝑖̂ βˆ’ (0.0150 π‘š/𝑠^3)𝑑^3𝑗̂

a. At what value of 𝑑 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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