Question: The acceleration of a particle is defined by the relation a = 0.4 v, where a is expressed in mm/s2 and v in mm/s.

The acceleration of a particle is defined by the relation a = – 0.4 v, where a is expressed in mm/s2 and v in mm/s. Knowing that at t = 0 the velocity is 75 mm/s, determine

(a) The distance the particle will travel before coming to rest,

(b) The time required for the velocity of the particle to be reduced to 1 percent of its initial value.

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