document.write( "Question 1147471: A particle moves along a horizontal coordinate line so that its position at time 𝑡 is given by 𝑥(𝑡) = 2𝑡^2 − 12𝑡. For what value(s) of 𝑡 is the particle at rest? \n" ); document.write( "

Algebra.Com's Answer #768849 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "Find the velocity (the speed) as the derivative of the position function over time\r\n" );
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document.write( "    v(t) =  = 4t - 12.\r\n" );
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document.write( "Equate it to zero and find the time moment when the speed is zero :\r\n" );
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document.write( "    4t - 12 = 0,\r\n" );
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document.write( "which gives you the answer for unknown time\r\n" );
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document.write( "     t =  = 3  units of time.    ANSWER\r\n" );
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