document.write( "Question 1148798: The position of a body at time 𝑡 seconds is 𝑠(𝑡) = 𝑡^3 − 9𝑡^2 + 14𝑡 meters. Find the body’s velocity each time the acceleration is zero. \n" ); document.write( "
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The position of a body at time 𝑡 seconds is 𝑠(𝑡) = 𝑡^3 − 9𝑡^2 + 14𝑡 meters. Find the body’s velocity each time the acceleration is zero.
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\n" ); document.write( "V is the 1st derivative of position.
\n" ); document.write( "s'(t) = 3t^2 - 18t + 14
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\n" ); document.write( "Acceleration is the 2nd derivative of position.
\n" ); document.write( "s\"(t) = 6t - 18
\n" ); document.write( "6t - 18 = 0
\n" ); document.write( "t = 3
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\n" ); document.write( "Sub 3 for t in the 1st derivative.\r
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