Step 1
Convert mixed numbers to an improper fractions
\(4\frac{1}{2} =\frac{4*2+1}{2}= \frac{9}{2}\)
\(1\frac{1}{2} =\frac{1*2+1}{2}= \frac{3}{2}\)
Step 2
Find the unit rate of the descending
\(unit\ rate= \frac{(9/2)}{(3/2)}=3 \frac{inches}{sec}\)
therefore
the answer is
the position of the spider relative to the surface after \(1\) second is \(-3\ inches\)