Let V and W be two objects on a straight track, both starting at the same position at time t = 0. Let v(t) = sin(t) and w(t) = sin(t) describe their respective velocities at time t. (a) [2 marks] Describe in one to three sentences what physical quantity is represented by (v(t) = w(t)) dt. - (b) [6 marks] What maximum distance between the two objects is achieved before the distance between them starts to decrease (for the first time)? Explain your answer carefully. [3 marks] Is the distance between the two objects bounded? In other words, does there exist some number N such that the distance between the two objects will never exceed N? Justify your answer carefully.