Two particles are moving along a straight line starting beginning from x(0) = 0 with a velocity of v(0) = 10 at time t = 0. Both the particles begin to decelerate. The magnitude of acceleration of the first particle is directly proportional to the time, t and that of the second particle is directly proportional to the speed of the particle. (a) At time t = 2 which particle has the higher velocity? (b) Which particle comes to rest (zero velocity) first and at what time does this occur? Assume the constants of proportionality to be 1.