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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 78RE
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Transcribed Image Text: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.
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