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
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdff7b543-7c53-4567-b2e2-82ba64a4a215%2Fe8927dfb-09a3-4d4c-9c71-2a11ee5fc5e3%2Fjalvpdb_processed.jpeg&w=3840&q=75)
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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