The car is traveling at a constant speed (v_{0}=100) (mathrm{km} / mathrm{h}) on the level portion of

Question:

The car is traveling at a constant speed $v_{0}=100$ $\mathrm{km} / \mathrm{h}$ on the level portion of the road. When the 6-percent $(\tan \theta=6 / 100)$ incline is encountered, the driver does not change the throttle setting and consequently the car decelerates at the constant rate $g \sin \theta$. Determine the speed of the car

(a) 10 seconds after passing point $A$ and

(b) when $s=100 \mathrm{~m}$.

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