(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. (d) Give the displacement and acceleration when velocity is zero.
(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. (d) Give the displacement and acceleration when velocity is zero.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please answer part d
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.
(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.
(d) Give the displacement and acceleration when velocity is zero.
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