Mathematics

Problem

3.17 The position of a particle is given by

\mathbf{r}=3.0 t \hat{\mathbf{i}}-2.0 t^{2} \hat{\mathbf{j}}+4.0 \hat{\mathbf{k}} \mathrm{~m}

where

t

is in seconds and the coefficients have the proper units for

\mathbf{r}

to be in metres. (a) Find the

\mathbf{v}

and

\mathbf{a}

of the particle? (b) What is the magnitude and direction of velocity of the particle at

t=2.0 \mathrm{~s}