A particle moving along a straight line has an acceleration given by a = , where a is the acceleration in m/s² and v is the velocity in m/s. The particle has a velocity v = 4 m/s and acceleration a = 1.2 m/s² while passing the origin. (a) Determine the constant c. (c = 4.8) (b) Determine the velocity of the particle at the position x = 20 m. (v7.1 m/s) (c) Determine the travel time from the origin to the position x = 20 m. (t = 3.53 s)