Chapter 3, Problem 3.42P

CALC The position of a dragonfly that is flying parallel to the ground is given as a function of time by $\stackrel{\to }{r}=[2.90\text{ m + (0}{\text{.0900 m/s}}^{\text{2}}{\text{)t}}^{\text{2}}]\hat{i}-(0.0150{\text{ m/s}}^{\text{3}})t^{\text{3}}\hat{j}$. (a) At what value of t does the velocity vector of the dragonfly make an angle of 30.0° clockwise from the +x-axis? (b) At the time calculated in part (a), what are the magnitude and direction of the dragonfly’s acceleration vector?