## Bob wanted to reach the peak of a mountain.

Calculus and AnalysisBob wanted to reach the peak of a mountain.
3 months ago
Bob wanted to reach the peak of a mountain.He started at te the base and started driving a car towards the peak of the mountain. The car started at 0 mph and the speed increased over time to 40 mph.Halfway towards the peak of the mountain, the terrain became too rugged and Bob instantly stopped his car to analyze the terrain. After spending time observing the terrain, Bob decided to instantly climb the rocky terrain at a slov pase.Once Bob passed the rocky terrain he realized his shins were cut up so he immediately travelled back to the car at the same slov pace as before. After spending time putting on bandages, he realized there was a side path to the peak of the mountain. He immediately started running to the peak of the mountain and eventually reached the peak. Graph the relationship between Bob's (a) distance and time and (b) position and time. For the graph,make it clear what part of your function corresponds with his different parts of his travels, (Label each segment of your graph)