acceleration/velocity problem
- Thread starter jeng
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skeeter
Elite Member
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- Dec 15, 2005
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got news for you ... this is a calculator driven problem.
as pka posted, the antiderivative of acceleration is velocity, but this particular problem involves a definite integral rather than a definite one ...
\(\displaystyle \int_1^2 a(t) dt = v(2) - v(1)\)
\(\displaystyle v(1) + \int_1^2 a(t) dt = v(2)\)
now ... get out your calculator and do the sum on the left side of the equation.
The AP exam does not require one to know how to integrate
\(\displaystyle ln(1+2^t)\) by hand.
as pka posted, the antiderivative of acceleration is velocity, but this particular problem involves a definite integral rather than a definite one ...
\(\displaystyle \int_1^2 a(t) dt = v(2) - v(1)\)
\(\displaystyle v(1) + \int_1^2 a(t) dt = v(2)\)
now ... get out your calculator and do the sum on the left side of the equation.
The AP exam does not require one to know how to integrate
\(\displaystyle ln(1+2^t)\) by hand.