2. (b) Suppose instead that the true speed of the car as a function of time is described by v(t) = 30√t (still from t = 0 to t = 4). Sketch a graph of the car’s speed vs. time. (c) Since the speed is no longer constant, it is much harder to calculate the distance traveled. But we can still try. Suppose we wanted to just calculate how far the car went in the single minute from 1:00 and 1:01. Let’s pretend that the car’s speed is constant for this single minute. What might be a reasonable approximation for the car’s speed, in this scenario? Under this assumption, approximately how far did the car go during this minute? Represent the distance traveled during this one minute as an area in your diagram from part (b).
2. (b) Suppose instead that the true speed of the car as a function of time is described by v(t) = 30√t
(still from t = 0 to t = 4). Sketch a graph of the car’s speed vs. time.
(c) Since the speed is no longer constant, it is much harder to calculate the distance traveled. But we can still try. Suppose we wanted to just calculate how far the car went in the single minute from 1:00 and 1:01.
Let’s pretend that the car’s speed is constant for this single minute. What might be a reasonable approximation for the car’s speed, in this scenario? Under this assumption, approximately how far did the car go during this minute? Represent the distance traveled during this one minute as an area in your diagram from part (b).
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