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The displacement if a particle is given by 4s=m 2nt4 where m&n are constant the velocity of a body at any instant is?
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The displacement if a particle is given by 4s=m 2nt4 where m&n are con...
(i) x = 3-10+8 = 1. Hence, the displacement is 1m
Velocity = Displacement/Time = 1/2 = 0.5 m/s^2
(ii) Acceleration = Change in velocity / time = 0.5/4 
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The displacement if a particle is given by 4s=m 2nt4 where m&n are con...
Displacement and Velocity of a Particle
The displacement of a particle is given by the equation:
4s = m * 2nt^4

Finding the Velocity
To find the velocity of the particle at any instant, we need to differentiate the displacement equation with respect to time.

Step 1: Differentiate the Displacement Equation
d(4s)/dt = d(m * 2nt^4)/dt
Velocity = 8nmt^3

Step 2: Interpretation
The velocity of the particle at any instant is given by the equation 8nmt^3. This means that the velocity of the particle changes with time, and it is directly proportional to the cube of time.

Conclusion
In conclusion, the velocity of a particle at any instant can be determined by differentiating its displacement equation with respect to time. In this case, the velocity is given by 8nmt^3. This shows how the velocity of the particle changes over time according to the given displacement equation.
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The displacement if a particle is given by 4s=m 2nt4 where m&n are constant the velocity of a body at any instant is?
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