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A particle is moving along x-axis such t...

A particle is moving along x-axis such that its velocity varies with time according to `v=(3m//s^(2))t-(2m//s^(3))t^(2)`. Find the velocity at t = 1 s and average velocity of the particle for the interval t = 0 to t = 5 s.

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To solve the problem, we need to find the velocity of the particle at \( t = 1 \) s and the average velocity over the interval from \( t = 0 \) s to \( t = 5 \) s. ### Step 1: Find the velocity at \( t = 1 \) s The velocity of the particle is given by the equation: \[ v(t) = 3t - 2t^2 \] To find the velocity at \( t = 1 \) s, we substitute \( t = 1 \) into the equation: ...
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