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In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a straight line in a controlled electromagnetic field. Its position, relative to the frame of reference, during a 30 second interval, can be modelled by the function S(t) = 0.25tª – 11t³ + 108t² , te[0,30] where S is measured in millimetres and t in seconds. a) When is the velocity changing from positive to negative, and when from negative to positive? b) What is the maximum distance from the origin during the 30 seconds? c) When is the particle moving in negative direction? d) When is the velocity increasing? e) In what time interval(s) is the speed increasing? f) At what time(s) is the particle decelerating (slowing down)? g) Determine the distance travelled during the 30 s interval. atieme D (luatuet

In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a straight line in a controlled electromagnetic field. Its position, relative to the frame of reference, during a 30 second interval, can be modelled by the function S(t) = 0.25tª – 11t³ + 108t² , te[0,30] where S is measured in millimetres and t in seconds. a) When is the velocity changing from positive to negative, and when from negative to positive? b) What is the maximum distance from the origin during the 30 seconds? c) When is the particle moving in negative direction? d) When is the velocity increasing? e) In what time interval(s) is the speed increasing? f) At what time(s) is the particle decelerating (slowing down)? g) Determine the distance travelled during the 30 s interval. atieme D (luatuet

Calculus: Early Transcendentals
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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In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a straight line in a controlled electromagnetic field. Its position, relative to the frame of reference, during a 30 second interval, can be modelled by the function S(t) = 0.25tª – 11t³ + 108t² , te[0,30] where S is measured in millimetres and t in seconds. a) When is the velocity changing from positive to negative, and when from negative to positive? b) What is the maximum distance from the origin during the 30 seconds? c) When is the particle moving in negative direction? d) When is the velocity increasing? e) In what time interval(s) is the speed increasing? f) At what time(s) is the particle decelerating (slowing down)? g) Determine the distance travelled during the 30 s interval. You may consider (optional) illustrating your explanations with iD or 2D graphs. Use proper interval notation for those answers that are time intervals.
Transcribed Image Text:In a one-dimensional Kinematics experiment, an electrically charged particle is moving along a straight line in a controlled electromagnetic field. Its position, relative to the frame of reference, during a 30 second interval, can be modelled by the function S(t) = 0.25tª – 11t³ + 108t² , te[0,30] where S is measured in millimetres and t in seconds. a) When is the velocity changing from positive to negative, and when from negative to positive? b) What is the maximum distance from the origin during the 30 seconds? c) When is the particle moving in negative direction? d) When is the velocity increasing? e) In what time interval(s) is the speed increasing? f) At what time(s) is the particle decelerating (slowing down)? g) Determine the distance travelled during the 30 s interval. You may consider (optional) illustrating your explanations with iD or 2D graphs. Use proper interval notation for those answers that are time intervals.
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