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# The moving particle

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A particle is moving with the given data. Find the position of the particle.

a(t) = 2t + 3,    s(0) = 6,    v(0) = −9

Oct 5, 2019

#1
+6046
+1

$$\text{We start with the acceleration to find the velocity}\\ v(t) = \displaystyle \int_0^t a(\tau) d\tau + v_0 = t^2+3t-9\\~\\ s(t) = \displaystyle \int_0^t v(\tau)d\tau + s_0 = \dfrac{t^3}{3}+\dfrac 3 2 t^2 - 9t + 6$$

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Oct 5, 2019
#2
+1

thanks a lot :)

Guest Oct 5, 2019
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