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Particle P moves in a straight line such that, t seconds after passing through a fixed point O its velocity V m/s given by the equation #V = 3t^2 -15t + 18#
Find
a) The values of t for which P is instantaneously at rest.
b) An expression in terms of t for the distance P from O after t seconds.
c) The total distance travelled by P in the first 4 seconds after passing point O.
d) The distance P from O when the acceleration of P is zero.