The function v (t )equals StartRoot 25 minus t EndRoot, 0 less than or equals t less than or equals 25 is the velocity in m/sec of a particle moving along the x-axis. Use analytic methods to do each of the following. (a) Determine when the particle is moving to the right, to the left, and stopped. (b) Find the particle's displacement for the given time interval. If s (0 )equals 4, what is the particle's final position? (c) Find the total distance traveled by the particle.