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# Find the power required for a $2000-\mathrm{kg}$ car to climb a $100-\mathrm{m}$-long uphill road with a slope of $30^{\circ}$ (from horizontal) in $10 \mathrm{~s}(a)$ at a constant velocity, $(b)$ from rest toa final velocity of $30 \mathrm{~m} / \mathrm{s}$, and (c) from $35 \mathrm{~m} / \mathrm{s}$ to a final velocity of $5 \mathrm{~m} / \mathrm{s}$. Disregard friction, air drag, and rolling resistance.

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$\textbf{Description:}$

So if we take a look at the $\textbf{Fig. P3-40}$, we can see a car that wants to climb a 100 m long uphill road. We need to determine a required power for a constant velocity, from the rest to a velocity of $30 \ \mathrm{~\dfrac{m}{s}}$ and from $35 \ \mathrm{~\dfrac{m}{s}}$ to a $5 \ \mathrm{~\dfrac{m}{s}}$.

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