A particle moves in a straight line such that its displacement, x meters, from a fixed point O on the line at time t seconds is given by x = (t - 2)^3 - t^2 + 2. (a) Find the time when the particle is instantaneously at rest. (b) Find the displacement of the particle from O when t = 4 s. (c) Find the total distance travelled during the first 4 seconds of its motion.
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Given: The displacement of a particle from a fixed point O on a line is given by the equation \(x = t - \frac{2}{3} - t^2 + 2\). ### (a) Find the time when the particle is instantaneously at rest. ** Show more…
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