(1) A particle has an initial displacement of s= 30 metres when t = 0. The velocity of the particle is v= 6t² - 216t+1944 m/s (t > 0). (a) Find the displacement of the particle at time t. (b) Find the acceleration of the particle at time t. (c) What is the acceleration and displacement when v = 0?

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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(1) A particle has an initial displacement of s = 30 metres when t = 0. The velocity
of the particle is v= 6t² - 216t+ 1944 m/s (t > 0).
(a) Find the displacement of the particle at time t.
(b) Find the acceleration of the particle at time t.
(c) What is the acceleration and displacement when v = 0?
Transcribed Image Text:(1) A particle has an initial displacement of s = 30 metres when t = 0. The velocity of the particle is v= 6t² - 216t+ 1944 m/s (t > 0). (a) Find the displacement of the particle at time t. (b) Find the acceleration of the particle at time t. (c) What is the acceleration and displacement when v = 0?
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