`a(t) = 3cos(t) - 2sin(t), s(0) = 0, v(0) = 4` A particle is moving with the given data. Find the position of the particle.

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You need to remember the relation between acceleration, velocity and position, such that:

`int a(t)dt = v(t) + c`

`int v(t) dx = s(t) + c`

You need to find first the velocity function, such that:

`int (3cos t - 2sint )dt = int 3cos t dt - int 2sin t dt`

`int (3cos t - 2sint )dt = 3sin t + 2cos t + c`

The problem provides the...

(The entire section contains 185 words.)

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