A rider is delivering online orders and is traveling along a straight road. The position function of the rider is given by s(t) = t³ – 9t² + 24t – 15 where s is measured in kilometers and t is measured in hours. a.) What is the rider's velocity at the moment when its acceleration is 12 km/h²? b.) At which time interval(s) is the rider slowing down? c.) Find the total distance traveled by the rider in the first three hours.
A rider is delivering online orders and is traveling along a straight road. The position function of the rider is given by s(t) = t³ – 9t² + 24t – 15 where s is measured in kilometers and t is measured in hours. a.) What is the rider's velocity at the moment when its acceleration is 12 km/h²? b.) At which time interval(s) is the rider slowing down? c.) Find the total distance traveled by the rider in the first three hours.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A rider is delivering online orders and is traveling along a straight road. The position function of the rider is given by s(t) = (t^3) - (9t^2) + (24t) - 15 where s is measured in kilometers and t is measured in hours.
a.) What is the rider’s velocity at the moment when its acceleration is 12 km/(h^2)?
b.) At which time interval(s) is the rider slowing down?
c.) Find the total distance traveled by the rider in the first three hours
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