Mathematics: Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) =cos(πt), v(0)=55, s(0)=77 the velocity is v(t)= (type an exact answer.)

Find the position and velocity of an object moving

Ответ:

libertycooper

02.01.2022

The initial position has no effect on the velocity, so you can ignore that value (unless there's another part to the question not included, of course).

We have

$v(t)=v(0)+\displaystyle\int_0^t a(u)\,\mathrm du$

$v(t)=55+\int_0^t\cos(\pi u)\,\mathrm du$

$\boxed{v(t)=55+\dfrac1\pi\sin(\pi t)}$

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Ответ:

amberunderhill

24.05.2021

Mathematics

I'm not sure about the radical from, but the square root is 19.2093727123. Hope this helped!

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Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) =cos(πt), v(0)=55, s(0)=77 the velocity is v(t)= (type an exact answer.)

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