I am told a particle moves along the x-axis so that at any time t > 0 the acceleration is given by a certain function not integrable with what I have learned thus far. I am also given the velocity of the function at one point, and am asked to find the value of the velocity at another point. How would I do this? I'm not giving the actual function and given point, because I really want to figure this out on my own. If they are necessary to understand the problem, I'll post the information. I just need a little bit of help to get started...
calculating acceleration and velocity
- Thread starter Sendell
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skeeter
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\(\displaystyle \L v(t_2) - v(t_1) = \int_{t_1}^{t_2} a(t) dt\)
now, let's say you know \(\displaystyle \L v(t_1)\) ...
\(\displaystyle \L v(t_2) = v(t_1) + \int_{t_1}^{t_2} a(t) dt\)
unable to integrate the acceleration function? ... get out your calculator and use its numerical integration capability to compute the right side of the above equation in order to find \(\displaystyle \L v(t_2)\).
now, let's say you know \(\displaystyle \L v(t_1)\) ...
\(\displaystyle \L v(t_2) = v(t_1) + \int_{t_1}^{t_2} a(t) dt\)
unable to integrate the acceleration function? ... get out your calculator and use its numerical integration capability to compute the right side of the above equation in order to find \(\displaystyle \L v(t_2)\).