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

Question

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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MichaelMet 1 year 2021-08-06T15:22:49+00:00 1 Answers 7 views 0

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    2021-08-06T15:24:37+00:00

    Explanation:

    x(t) = A√t

    x(t) = √(2t)

    v(t) = dx/dt

    v(t) = ½ (2t)^-½ × 2

    v(t) = (2t)^-½

    a(t) = dv/dt

    a(t) = -½ (2t)^⁻³/₂ × 2

    a(t) = -(2t)^⁻³/₂

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