The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t²-5t + 5 (a) Find the velocity function v(t) of the particle at any time t≥ 0. v(t) = 2t - 5 (b) Identify the time interval when the particle is moving in a positive direction. (-∞, -/-) 0 (-5/1,00) 0 (0, 1/2) 0 (-0,²) N/U₁ (c) Identify the time interval when the particle is moving in a negative direction. (-∞, -/-) 0 (-1/2, 0) • (0, 2) 0 (-∞, -/-) 0 (5,00) (d) Identify the time when the particle changes its direction. t = 52 X

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