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The distance travelled by a particle from a fix... - JAMB Mathematics 2009 Question

The distance travelled by a particle from a fixed point is given as s = (t3 - t2 - t + 5)cm. Find the minimum distance that the particle can cover from the fixed point.
A
2.3 cm
B
4.0cm
C
5.2
D
g
correct option: b

S = (t3 - t2 - t + 5)cm

(\frac{ds}{dt}) = 3t2 - 2t - 1

= (3t + 1)(t - 1)

t = -(\frac{1}{3}) or t = 1

Substitute value of t

s = (13 - 12 - 1 + 5)cm

= 4.0 cm

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