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Arlecino [84]
4 years ago
6

Please help An object is observed to move under the following equation of motion ... x(t) = A√t ... take A =√2. Determine the eq

uations for the velocity and acceleration as a function of time. Write each equation in differential equation format, including second-order, if necessary.
Physics
1 answer:
tatuchka [14]4 years ago
3 0

Explanation:

Function of distance w.r.t time :

x(t) = \: y =   \sqrt{2t}

Differentiate w.r.t time to get velocity :

\frac{dy}{dt}  = v =  \frac{1}{ \sqrt{2t} }

Differentiate w.r.t time to get Acceleration :

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

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