SOLUTION:
Case: Differentiation
Method:
[tex]\begin{gathered} h(t)=10+50t+\frac{1}{2}at^2 \\ h^{\prime}(t)=50+2\times\frac{1}{2}at^{2-1} \\ h^{\prime}(t)=50+at \\ But \\ h^{\prime}(1.25)=9.75 \\ h^{\prime}(1.25)=50+1.25a \\ 9.75=50+1.25a \\ 1.25a=9.75-50 \\ 1.25a=-40.25 \\ a=\frac{-40.25}{1.25} \\ a=-32.2ft\text{ /}s^2 \end{gathered}[/tex]
Final answer:
a = -32.2 ft per sq seconds
