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A particle is moving along a straight li...

A particle is moving along a straight line such that its displacement x and time t are related as follows:
`x^(2)=1+t^(2)`
Show that acceleration of the particle can be represented as: `a=(1)/(x)-(t^(2))/(x^(3))`.

Text Solution

AI Generated Solution

To solve the problem, we need to show that the acceleration \( a \) of the particle can be represented as: \[ a = \frac{1}{x} - \frac{t^2}{x^3} \] given the relation between displacement \( x \) and time \( t \): ...
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