Suppose that the position function of a particle moving on a coordinate line is given by s(t) = 1³ - 21² + 3t 7 in meters, where t is in seconds. (a) Find the velocity and acceleration functions; (b) Analyze the direction of the motion that shows when the particle is stopped, when it is moving forward and/or backward; (c) Analyze the change of speed that shows when it is speeding up and/or slowing down; (d) Find the total distance traveled by the particle from time t= 0 to t = 6 seconds.
Suppose that the position function of a particle moving on a coordinate line is given by s(t) = 1³ - 21² + 3t 7 in meters, where t is in seconds. (a) Find the velocity and acceleration functions; (b) Analyze the direction of the motion that shows when the particle is stopped, when it is moving forward and/or backward; (c) Analyze the change of speed that shows when it is speeding up and/or slowing down; (d) Find the total distance traveled by the particle from time t= 0 to t = 6 seconds.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Suppose that the position function of a particle moving on a coordinate line is given by s(t)
1³-2t² + 3t -7 in meters, where t is in seconds.
(a) Find the velocity and acceleration functions;
(b) Analyze the direction of the motion that shows when the particle is stopped, when it is
moving forward and/or backward;
(c) Analyze the change of speed that shows when it is speeding up and/or slowing down;
(d) Find the total distance traveled by the particle from time t =0 to t = 6 seconds.
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