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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.

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

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User TheClassic
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1 Answer

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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
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User Salma Gomaa
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