document.write( "Question 1138515: The position of an object at time t is given by s(t) = 3 - 4t. Find the instantaneous velocity at t = 8 by finding the derivative \n" ); document.write( "

Algebra.Com's Answer #756311 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "As the question tells, the instantaneous velocity is the first derivative of the position.\r
\n" ); document.write( "\n" ); document.write( " position equation given: $\"s%28t%29+=+3+-+4t\"$ \r
\n" ); document.write( "\n" ); document.write( "derivative, $\"v%28t%29\"$ = $\"s\"$ ' $\"%28t%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"s\"$ ' $\"%28t%29\"$ = [ $\"+3+-+4t\"$ ]' = $\"%283%29\"$ ' - $\"%284t%29\"$ ' = $\"0\"$ - $\"4\"$ ( $\"t\"$ ') = $\"-+4\"$ \r
\n" ); document.write( "\n" ); document.write( "Then, the velocity is constant (does $\"not\"$ depends on $\"t\"$ ), and its value is $\"-+4\"$ . \n" ); document.write( "

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