Chapter 4, Problem 17PQ

A If the vector components of a particle’s position moving in the xy plane as a function of time are $\stackrel{\to }{x}=b{t}^2\hat{i}$ and $\stackrel{\to }{y}=c{t}^3\hat{j}$, where b and c are positive constants with the appropriate dimensions such that the components will be in meters, at what time t is the angle between the particle’s velocity and the x axis equal to 45°?