emilyleyow emilyleyow

08-05-2022
Mathematics

contestada

particle with velocity v(t) = t^2 +3, where r is time in seconds, moves in a straight line. How far does the particle move from t=2 to t= 3 seconds?

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LammettHash LammettHash

08-05-2022

Integrate the velocity function over [2, 3]:

[tex]\displaystyle \int_2^3 (t^2+3) \, dt = \left(\frac{t^3}3+3t\right)\bigg|_2^3 = \boxed{\frac{28}3}[/tex]

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