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Mathematics, 11.01.2020 04:31 janilaw1
The velocity of a particle moving along the x-axis at any time t ≥ 0 is given by ![v(t) = cos (\pi t)- t(7-2\pi )](/tex.php?f=v(t) = cos (\pi t)- t(7-2\pi ))
a. find the particles maximum acceleration over the interval [0,2]. use derivatives to support and justify your answer.
b. find the particles minimum velocity over the interval [0,3] justify your answer.
i know that acceleration is the derivative of velocity and that:
![v'(t)=a(t)=-\pi sin(\pi t)-7+2\pi \\v''(t)=a'(t)=-\pi ^2cos(\pi t)](/tex.php?f=v'(t)=a(t)=-\pi sin(\pi t)-7+2\pi \\v''(t)=a'(t)=-\pi ^2cos(\pi t))
but i am confused as to actually figure out the minimum and maximum values using cos and sin
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The velocity of a particle moving along the x-axis at any time t ≥ 0 is given by [tex]v(t) = cos (\p...
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