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A particle is moving with the given data. Find the position of the particle. a(t) = 13 sin(t) + 3 cos(t), s(0) = 0, s(2π) = 12

User Rsenna
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4 votes

Answer:

S(t) = -13sin(t) -3cos(t)

Explanation:

a(t) = 13 sin(t) + 3 cos(t)

The above is the acceleration if the moving particle.

To determine it's position at any given time we integrate the expression with respect to t to find the distance Expression and then solve

The integral will be a double Integral .

a(t) = 13 sin(t) + 3 cos(t)

First integral

V(t) =-13cos(t) +3sin(t)

Second integral

S(t) = -13sin(t) -3cos(t)

So to determine the position if the particle the expression will be used

User Meetpd
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