A particle that moves along a straight line has velocity meters per second after t seconds. How many meters will it travel during the first t seconds?
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Originally Posted by dat1611 A particle that moves along a straight line has velocity meters per second after t seconds. How many meters will it travel during the first t seconds? note that $\displaystyle v(t) \ge 0$ for all $\displaystyle t$. assuming the clock starts at $\displaystyle t = 0$ ... displacement = distance traveled = $\displaystyle \int_0^t x^2 e^{-2x} \, dx$
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