Let V and W be two objects on a straight track, both starting at the same...

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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. 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.

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a The quantity represented by the integral vt wt dt from 0 to T is the net change in the difference ... View the full answer