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Sagot :
We will determine the height as follows:
First, we determine the time it will take to get from 0m/s to 33.5m/s using gravity, that is:
[tex]\begin{gathered} 33.5m/s=(0m/s)+(9.8m/s^2)t\Rightarrow t=\frac{33.5m/s}{9.8m/s^2} \\ \\ \Rightarrow t=\frac{335}{98}s \end{gathered}[/tex]Now, we determine the height of the roller coaster:
[tex]\begin{gathered} h=(0m/s)(\frac{335}{98}s)+\frac{1}{2}(9.8m/s^2)(\frac{335}{98}s)^2\Rightarrow h=\frac{22445}{392}m \\ \\ \Rightarrow h\approx57.26m \end{gathered}[/tex]So, the height of the roller coaster must be approximately 57.26 m.
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