Question

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.

Answer 1

Step-by-step explanation:

Function of distance w.r.t time :

`x(t) = \: y = √(2t)`

Differentiate w.r.t time to get velocity :

`(dy)/(dt) = v = (1)/( √(2t) )`

Differentiate w.r.t time to get Acceleration :

`(d^2y)/(dx^2) = a \: = - (1)/(2t √(2t) )`