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The displacement (in metre) of a particl...

The displacement (in metre) of a particle moving along x-axis is given by `x=18t +5t^(2)`. Calculate (i) the instantaneous velocity `t=2 s` (ii) average velocity between `t=2 s` to `t=3 s` (iii) instantaneous acceleration.

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To solve the problem step by step, we will break it down into three parts as requested: ### Given: The displacement of a particle moving along the x-axis is given by: \[ x(t) = 18t + 5t^2 \] ### Part (i): Calculate the instantaneous velocity at \( t = 2 \, \text{s} \) ...
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