The displacement of a particle at time t is given by the function f(t), where f(0) =

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The displacement of a particle at time t is given by the function f(t), where f(0) = 0.

Given that the velocity of the particle is given by f′(t) = 10 − 5t,

a. Find f(t)

b. Determine the displacement of the particle when t = 3.

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