A particle moves along a straight line according to the equation x(t) = t^3 - 6t^2 + 5, where x is in meters and t is in seconds. Find the total distance traveled by the particle after 6 seconds.
Added by Jennifer C.
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So, we have: v(t) = \frac{dx(t)}{dt} = \frac{d(t^3 - 6t^2 + 5)}{dt} Now, we can find the derivative: v(t) = 3t^2 - 12t Show more…
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