a. A bicyclist is traveling at 20 km/hr when he encounters a hill 70 m in height.

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a. A bicyclist is traveling at 20 km/hr when he encounters a hill 70 m in height. Neglecting road and wind resistance (a poor assumption), what is the maximum vertical elevation gain the bicyclist could achieve without pedaling? 

b. If the hill is a down hill, what speed would the bicyclist achieve without pedaling, again neglecting road and wind resistance? 

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