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The displacement of a particle moving al...

The displacement of a particle moving along a straight line is given by
`s=3t^(3)+2t^(2)-10t. find initial velocity and acceleration of particle.

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To solve the problem, we need to find the initial velocity and acceleration of a particle whose displacement is given by the equation \( s = 3t^3 + 2t^2 - 10t \). ### Step 1: Find the Velocity The velocity \( v \) of the particle is the derivative of the displacement \( s \) with respect to time \( t \). Therefore, we can express the velocity as: \[ v = \frac{ds}{dt} \] ...
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