A particle moves along the x-axis. At time t=0 the particle passes through the origin with speed 8ms-1 in the positive x- direction. The acceleration of the particle at time t seconds, t is greater than or equal to 0, is (4t^3-12t)ms-2 in the positive x-direction. Find: a) the velocity of the particle at time t seconds b) the displacement of the particle from the origine at time t seconds c) the values of t at which the particle is instantaneously at rest
A particle moves along the x-axis. At time t=0 the particle passes through the origin with speed 8ms-1 in the positive x- direction. The acceleration of the particle at time t seconds, t is greater than or equal to 0, is (4t^3-12t)ms-2 in the positive x-direction. Find: a) the velocity of the particle at time t seconds b) the displacement of the particle from the origine at time t seconds c) the values of t at which the particle is instantaneously at rest
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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A particle moves along the x-axis. At time t=0 the particle passes through the origin with speed 8ms-1 in the positive x- direction. The acceleration of the particle at time t seconds, t is greater than or equal to 0, is (4t^3-12t)ms-2 in the positive x-direction.
Find:
a) the velocity of the particle at time t seconds
b) the displacement of the particle from the origine at time t seconds
c) the values of t at which the particle is instantaneously at rest
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