PoopChan
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Find the distance traveled in 15 seconds by an object moving with a velocity of v(t)=20+7cos(t) feet per second.

Respuesta :

nobillionaireNobley
[tex]s(t)= \int\limits^{15}_0 {v(t)} \, dt \\ =\int\limits^{15}_0 {(20+7cos(t))} \, dt \\ =[20t+7sin(t)]^{15}_0 \\ =(20(15)+7sin(15))-(20(0)+7sin(0)) \\ =300+1.812=301.812 \, feet[/tex]

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