A particle moves along a straight line. The distance, s. (in metres) of the particle from...

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A particle moves along a straight line. The distance, s. (in metres) of the particle from a fixed point on the line at time t seconds (120) is given by s(t) = 2t² - 18t+45. Calculate the particle's initial velocity. (Velocity is the rate of change of distance.) Determine the rate at which the velocity of the particle is changing at t seconds. After how many seconds will the particle be closest to the fixed point? 10.1 10.2 10.3 A particle moves along a straight line. The distance, s. (in metres) of the particle from a fixed point on the line at time t seconds (120) is given by s(t) = 2t² - 18t+45. Calculate the particle's initial velocity. (Velocity is the rate of change of distance.) Determine the rate at which the velocity of the particle is changing at t seconds. After how many seconds will the particle be closest to the fixed point? 10.1 10.2 10.3