document.write( "Question 1029019: The velocity in ft/sec of a particle is given by v(t) = −16t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 6 feet. \n" ); document.write( "

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The velocity in ft/sec of a particle is given by v(t) = −16t + 2. Find the position function s(t), of the particle if it has an initial position s(0) = 6 feet.
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\n" ); document.write( "Velocity is the 1st derivative of position.
\n" ); document.write( "v(t) = -16t + 2
\n" ); document.write( "Integrate wrt t:
\n" ); document.write( "s(t) = -8t^2 + 2t + C
\n" ); document.write( "s(0) = C = 6
\n" ); document.write( "s(t) = -8t^2 + 2t + 6
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