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if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?
Most Upvoted Answer
?if y denotes the displacement and t denote the time and the displacem...
Introduction:
In this problem, we are given the displacement of a particle as a function of time. We need to find the velocity of the particle at any given time.

Displacement and Time:
The displacement of the particle is given by:

y = Asin(wt)

where A is the amplitude of the displacement, w is the angular frequency, and t is the time.

Velocity:
The velocity of the particle is the rate of change of displacement with respect to time. It is given by:

v = dy/dt

where v is the velocity, y is the displacement, and t is the time.

Deriving Velocity:
To derive the velocity, we need to take the derivative of the displacement function with respect to time.

dy/dt = A(w)cos(wt)

Substituting this into the equation for velocity, we get:

v = A(w)cos(wt)

Conclusion:
Therefore, the velocity of the particle is given by:

v = A(w)cos(wt)

This equation tells us that the velocity of the particle is proportional to the angular frequency and the amplitude of the displacement, and it is a function of time.
Community Answer
?if y denotes the displacement and t denote the time and the displacem...
Y = asinwt

v = dy/dt

v = awcoswt
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?if y denotes the displacement and t denote the time and the displacement is given by y=asinwt, the velocity of the particle is?
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