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24-05-2023
Mathematics

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A particle has an initial displacement of s = 0 when t = 0.
The velocity of the particle is v = 6t2 − 60t + 150 m/s (t ≥ 0).
(a) Find the displacement of the particle at time t.
(b) Find the acceleration of the particle at time t.
c) What is the acceleration and displacement when v = 0?
(d) Evaluate (cos(5x) − sin(5x))dx

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