1. The position of an object moving horizontally along a straight line as a function of time is s(t) = 2t³ - 6t² +2,0 ≤t≤ 4, in meters, at time t, in seconds. a. Determine the velocity and acceleration of the object at t = 3 seconds. b. At what time(s) the object is at rest? c. Determine the position of the object when the velocity is 0. d. Draw the position diagram. Show work and mark the position and the time on the diagram as shown in the example.

1. The position of an object moving horizontally along a straight line as a function of time is s(t) = 2t³ - 6t² +2,0 ≤t≤ 4, in meters, at time t, in seconds. a. Determine the velocity and acceleration of the object at t = 3 seconds. b. At what time(s) the object is at rest? c. Determine the position of the object when the velocity is 0. d. Draw the position diagram. Show work and mark the position and the time on the diagram as shown in the example.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.1: Quadratic Functions And Models

Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...

See similar textbooks