A particle, moving in a straight-line, passes through a fixed-point O. Its velocity v ms -1 ,

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A particle, moving in a straight-line, passes through a fixed-point O.

Its velocity v ms-1, t seconds after passing through O, is given by v = 4e2t + 2t.

a. Find the acceleration of the particle when t = 1.

b. Find an expression for the displacement of the particle from O.

c. Find the total distance travelled by the particle in the first 2 seconds of its motion. Give your answer correct to the nearest metre.

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