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The equation of motion of a particle is given by $x=4 sin(3t)$ mts where t is in seconds . The velocity of the particle at t=0 s is
$(a)\;12\;m/s\qquad(b)\;8\;m/s\qquad(c)\;0\qquad(d)\;16\;m/s$
jeemain
physics
class12
unit10
oscillations-and-waves
easy
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asked
Mar 7, 2014
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yamini.v
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Jul 10, 2014
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1 Answer
Answer : (a) $\;12\;m/s$
Explanation :
Equation of motion is x = 4 sint 5t
Derivating with respect to time (t)
$\large\frac{dx}{dt}$$=4\times3 cos 3t$
$v=\large\frac{dx}{dt}$$=12 cos 3t \quad \; at\;t=0$
$v=12\;m/s\;.$
answered
Mar 7, 2014
by
yamini.v
edited
Apr 2, 2014
by
balaji.thirumalai
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