2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the velocity and acceleration functions. b) Find the time interval in which the object is moving in the positive direction. Find the time interval in which the object is moving in the negative direction. c) Sketch the path of the particle along a coordinate axis. d) Find the displacement and the distance traveled from t = 1 to t = 3. (Remember that distance refers to the actual ground that an object has covered during its motion. Displacement describes the overall change in position, or how far away and in which direction an object is from its original location.)
2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the velocity and acceleration functions. b) Find the time interval in which the object is moving in the positive direction. Find the time interval in which the object is moving in the negative direction. c) Sketch the path of the particle along a coordinate axis. d) Find the displacement and the distance traveled from t = 1 to t = 3. (Remember that distance refers to the actual ground that an object has covered during its motion. Displacement describes the overall change in position, or how far away and in which direction an object is from its original location.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 18E
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