17 A buggy is pulling a roller-skater, in a straight line along a horizontal road, by means of a connecting rope as shown in the diagram.
\includegraphics[max width=\textwidth, alt={}, center]{5e475c96-6bbb-44fb-a411-706dac20e2d6-24_240_1006_402_516} The combined mass of the buggy and driver is 410 kg
A driving force of 300 N and a total resistance force of 140 N act on the buggy.
The mass of the roller-skater is 72 kg
A total resistance force of \(R\) newtons acts on the roller-skater.
The buggy and the roller-skater have an acceleration of \(0.2 \mathrm {~m} \mathrm {~s} ^ { - 2 }\)
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1. 1. Find \(R\).
      

      17	17 (ii) Find the tension in the rope.

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   2. The roller-skater releases the rope at a point \(A\), when she reaches a speed of \(6 \mathrm {~ms} ^ { - 1 }\) She continues to move forward, experiencing the same resistance force.
      The driver notices a change in motion of the buggy, and brings it to rest at a distance of 20 m from \(A\). 17
   3. 1. Determine whether the roller-skater will stop before reaching the stationary buggy.
         Fully justify your answer.
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   4. (ii) Explain the change in motion that the driver noticed.