A particle is projected to the right from the position x = 0 with an initial velocity of 9 m/s. If the acceleration of the particle is defined by the relation a = −0.6υ^3/2, where a and υ are expressed in m/s² and m/s, respectively, determine (a) the distance the particle will have traveled when its velocity is 4 m/s, (b) the time when υ = 1 m/s, (c) the time required for the particle to travel 6 m.