Chapter 4, Problem 3P

The vector position of a particle varies in time according to the expression $\stackrel{\to }{r}=3.00\hat{i}-6.00t^2\hat{j}$, where $\stackrel{\to }{r}$ is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (b) Determine the acceleration of the particle as a function of time. (c) Calculate the particle’s position and velocity at t = 1.00 s.