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Please help An object is observed to move under the following equation of motion ... x(t) = A√t ... take A =√2. Determine the equations for the velocity and acceleration as a function of time. Write each equation in differential equation format, including second-order, if necessary.

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Explanation:

Function of distance w.r.t time :

[tex]x(t) = \: y = \sqrt{2t} [/tex]

Differentiate w.r.t time to get velocity :

[tex] \frac{dy}{dt} = v = \frac{1}{ \sqrt{2t} } [/tex]

Differentiate w.r.t time to get Acceleration :

[tex] \frac{d^2y}{dx^2} = a \: = - \frac{1}{2t \sqrt{2t} } [/tex]

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