4 Imagine you are driving a car on a highway and your distances in meters...

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Calculus

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4 Imagine you are driving a car on a highway and your distances in meters from a certain point is given by the function s t 30t 2t where t is the time in seconds since you passed that point a Determine the time at which you pass the point for the second time b Calculate your average speed over the first 10 seconds after you pass the point for the first time c Find the limit of your average speed as t approaches 0 Interpret the meaning of this limit in the context of the problem Hint Average speed over an interval a b is given by s b s a b a

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