A particle moves in a straight line. At time t seconds its displacement x metres from the origin is given by x=3-cos 21, where osts27. (a) Sketch the graph of x as a function of t. (b) At what times is the particle at rest? (c) Find the time when the particle first reaches its maximum speed after t=0.

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ISBN:9780470458365
Author:Erwin Kreyszig
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A particle moves in a straight line. At time t seconds its displacement x metres from the origin is
given by x=3-cos 2t , where 0st<27.
(a)
Sketch the graph of x as a function of t.
(b)
At what times is the particle at rest?
(c)
Find the time when the particle first reaches its maximum speed after t =0.
Transcribed Image Text:A particle moves in a straight line. At time t seconds its displacement x metres from the origin is given by x=3-cos 2t , where 0st<27. (a) Sketch the graph of x as a function of t. (b) At what times is the particle at rest? (c) Find the time when the particle first reaches its maximum speed after t =0.
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