A particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
A particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
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A particle moves along the x-axis so that it’s position at any time t≥0 is given by x(t)=t^3−3t^2+t+1. For what values of t, 0≤t≤3, is the particle’s instantaneous velocity the same as its average velocity on the closed interval [0, 3]? Your solution should clearly show all steps leading to the answer as well as justification for it.
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