The displacement of a particle is given by . The initial velocity and acceleration are, respectively:
1. | \(\mathrm{b}, ~\mathrm{-4d}\) | 2. | \(\mathrm{-b},~ \mathrm{2c}\) |
3. | \(\mathrm{b}, ~\mathrm{2c}\) | 4. | \(\mathrm{2c}, ~\mathrm{-2d}\) |
A particle of unit mass undergoes one-dimensional motion such that its velocity varies according to where and \(\mathrm{n}\) are constants and \(\mathrm{x}\) is the position of the particle. The acceleration of the particle as a function of \(\mathrm{x}\) is given by:
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The acceleration of a particle starting from rest varies with time according to the relation A = – aω2sinωt. The displacement of this particle at a time t will be:
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A particle is moving along the x-axis such that its velocity varies with time as per the equation . At t=0 particle is at the origin. From the following, select the correct position (x) - time (t) plot for the particle:
1. | 2. | ||
3. | 4. |