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 + 6e-3t.

a. Show that the velocity is never zero.

b. Find the acceleration when t = ln 2.

c. Find, to the nearest metre, the displacement of the particle from O when t = 2.

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