A particle moves in a straight-line such that its displacement, s metres, from a fixed-point O on

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A particle moves in a straight-line such that its displacement, s metres, from a fixed-point O on the line at time t seconds is given by s = 50[e-2t – e-4t].

a. Find the time when the particle is instantaneously at rest.

b. Find the displacement of the particle from O when t = 2.

c. Find the total distance travelled during the first 2 seconds of its motion.

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