Chapter 5.7, Problem 18ES

In each part, use the given information to find the position, velocity, speed, and acceleration at time $t=1$ .

(a) $\upsilon =\cos \frac{1}{3}\pi t;s=0$ when $t=\frac{3}{2}$

(b) $a=4e^{2t-2};s=1/e^2$ and $\upsilon =\left(2/e^2\right)-3$ when $t=0$