a particle is uniformly accelerated from A to B, a distance of 192m, and is then uniformly retarded from B to C, a distance of 60m. the speeds of the particle at A and B are 4m/s and Vm/s respectively and the particle comes to rest at C. express, in terms of V only, the times taken by the particle to move from A to B and from A to C. Given that the total time taken by the particle to move from A to C is 22 seconds, find: (a) the value of V, (b) the acceleration and the retardation of the particle.

Question

a particle is uniformly accelerated from A to B, a distance of 192m, and is then uniformly retarded from B to C, a distance of 60m. the speeds of the particle at A and B are 4m/s and Vm/s respectively and the particle comes to rest at C. express, in terms of V only, the times taken by the particle to move from A to B and from A to C. Given that the total time taken by the particle to move from A to C is 22 seconds, find: (a) the value  of V, (b) the acceleration and the retardation of the particle.