Question: The contour of a bumpy road is approximated by [ y(x)=0.03 sin (0.125 x) mathrm{m} ] What is the amplitude of the vertical acceleration of

The contour of a bumpy road is approximated by

\[ y(x)=0.03 \sin (0.125 x) \mathrm{m} \]

What is the amplitude of the vertical acceleration of the wheels of an automobile as it travels over this road at a constant horizontal speed of $40 \mathrm{~m} / \mathrm{s}$ ?

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