Parabol đi qua \(B\left(200;75\right)\) nên:
\(75=a.200^2\Rightarrow a=\dfrac{3}{1600}\)
\(\Rightarrow y=\dfrac{3}{1600}x^2\)
a.
\(CH=\dfrac{3}{1600}.100^2=18,75\left(m\right)\)
b.
\(y_{M,N}=27\Rightarrow\dfrac{3}{1600}x_{M,N}^2=27\)
\(\Rightarrow x_{M,N}^2=14400\)
\(\Rightarrow x_{M,N}=\pm120\Rightarrow M\left(120;27\right)\)
\(ON=OM=\sqrt{120^2+27^2}=123\left(m\right)\)
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