Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line, where t is in seconds and s is in meters. a) Determine if the speed of the car is increasing or decreasing at t = 4.5 seconds? b) Calculate for the total distance traveled by the car during the first 5 seconds

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Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line, where t is in seconds and s is in meters.

a) Determine if the speed of the car is increasing or decreasing at t = 4.5 seconds?

b) Calculate for the total distance traveled by the car during the first 5 seconds.

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