A motorist traveling at $100 \mathrm{~km} / \mathrm{h}$ on a highway needs to take the next exit, which has a speed limit of $50 \mathrm{~km} / \mathrm{h}$. The section of the roadway before the ramp entry has a downgrade of $3 \%$ and coefficient of friction $(f)$ is $0.35 .$ In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in $\mathrm{m}$ ) from the exit ramp is

A motorist traveling at $100 \mathrm{~km} / \mathrm{h}$ on a highway needs to take the next exit, which has a speed limit of $50 \mathrm{~km} / \mathrm{h}$. The section of the roadway before the ramp entry has a downgrade of $3 \%$ and coefficient of friction $(f)$ is $0.35 .$ In order to enter the ramp at the maximum allowable speed limit, the braking distance (expressed in $\mathrm{m}$ ) from the exit ramp is

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