Particles A and B are traveling around a circular track at speed v₀ at the instant shown. If the speed of B is increased by dv_B/dt = a_Bt, and at the same instant A has an increase in speed dv_A/dt = bt, determine how long it takes for a collision to occur. What is the magnitude of the acceleration of each particle just before the collision occurs? Given:

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v0 = 8 vo m aBt = 4 b = 0.8 S m 2 m 3 S r = 5 m 8 = 120 deg