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The position of a particle at any point ...

The position of a particle at any point instant is x . Find the velocity and acceleration at any instant .

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To solve the problem of finding the velocity and acceleration of a particle whose position at any instant is given by \( x \), we can follow these steps: ### Step 1: Understand the Definition of Velocity Velocity is defined as the rate of change of displacement with respect to time. Mathematically, it can be expressed as: \[ v = \frac{dx}{dt} \] where \( v \) is the velocity, \( x \) is the position of the particle, and \( t \) is time. ...
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