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.