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Figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.

Q 3.20 Figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.

 

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S Sayak

At t=0.3 s signs of position, velocity and acceleration are negative, negative and positive.

At t=1.2 s signs of position, velocity and acceleration are positive, positive and negative.

At t=-1.2 s signs of position, velocity and acceleration are negative, positive and positive.

Note: The displacement of the particle as a function of time can be thought of as 

x=f(t)=-Asin\pi t

where A is some positive real number equal to the amplitude of oscillation.

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