A particle moves so that its velocity (ms-l) at time t seconds is given by the formula v = e2sin31 cos3t. a Find: i an expression for the acceleration of

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A particle moves so that its velocity (ms-')
at time t seconds is given by the formula
v = e2sin 31 cos3t.
a Find:
i an expression for the acceleration of
the particle
ii the time t at which the particle's
acceleration is first equal to -0.5 ms-2.
b Find an expression for the displacement
of the particle (s) from its initial position
at time t.
c Write down the exact value of the
maximum displacement of the
particle.
Transcribed Image Text:A particle moves so that its velocity (ms-') at time t seconds is given by the formula v = e2sin 31 cos3t. a Find: i an expression for the acceleration of the particle ii the time t at which the particle's acceleration is first equal to -0.5 ms-2. b Find an expression for the displacement of the particle (s) from its initial position at time t. c Write down the exact value of the maximum displacement of the particle.
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