Chapter 3.6, Problem 254E

For the following exercises, use the information in the following table to find $h\text{'}\left(a\right)$ at the given value for a.

$x$	$f\left(x\right)$	$f\text{'}\left(x\right)$	$g\left(x\right)$	$g\text{'}\left(x\right)$
0	2	5	0	2
1	1	-2	3	0
2	4	4	1	-1
3	3	-3	2	3

254. [T] A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function. Where t is measured in seconds and s is in inches: $s\left(t\right)=-3\cos \left(\pi t+\frac{\pi }{4}\right)$ .

a. Determine the position of the spring at t = 1.5 s

b. Find the velocity of the spring at t = 1.5 s.