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A particle starts from rest with a unifo...

A particle starts from rest with a unifor acceleration. Its displacement x after x seconds is given in metres by the relation `x = 5 + 6t +7t^2`
Calculate the magnitude of its (i) initial velocity (ii) velocity at` t = 3 `s (iii) uniform acceleration and (iv) displacement at t= 5 as.

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To solve the problem step by step, we will follow the given relation for displacement and calculate the required quantities. ### Given: The displacement of the particle is given by the equation: \[ x = 5 + 6t + 7t^2 \] ### (i) Calculate the magnitude of its initial velocity: The initial velocity can be found by differentiating the displacement equation with respect to time \( t \) to get the velocity equation. ...
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