(3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t - 84 metres for t≥ 0. (a) Find the velocity at time t. (b) Find the acceleration at time t. (c) Find the time(s) when the particle has a velocity of zero.

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Chapter2: Second-order Linear Odes
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(3) The distance of a particle from a point O at time t seconds is given by
s = 2t³ - 27t² + 108t - 84 metres for t > 0.
Find the velocity at time t.
(b) Find the acceleration at time t.
(c) Find the time(s) when the particle has a velocity of zero.
(d) Give the displacement and acceleration when velocity is zero.
Transcribed Image Text:(3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t - 84 metres for t > 0. Find the velocity at time t. (b) Find the acceleration at time t. (c) Find the time(s) when the particle has a velocity of zero. (d) Give the displacement and acceleration when velocity is zero.
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