Particles velocity and position as a function, Civil Engineering

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Particles velocity and position as a function

Problem:

A particle moves along a straight line with acceleration a= (-.04v^2) mm/s^2 where we measure distance in meters and time in seconds. When t=0s, s=50mm, and v=6mm/s.

Required:

Determine: (a) The particles velocity as a function of position. (b) The particles velocity and position as a function of time. (c) The time when the particles velocity decreases to 3mm/s.

Note: Explain all steps comprehensively.

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