Question: 6a. [1 mark] Open with * Two boats A and B travel due north. Initially, boat B is positioned 50 metres due east of boat

6a. [1 mark] Open with * Two boats A and B

6a. [1 mark] Open with * Two boats A and B travel due north. Initially, boat B is positioned 50 metres due east of boat A. The distances travelled by boat A and boat B, after t seconds, are x metres and y metres respectively. The angle 0 is the radian measure of the bearing of boat B from boat A. This information is shown on the following diagram. diagram not to scale N boat B boat A ym x m 50 m Show that y = x + 50cote . 6b. [6 marks] At time 7, the following conditions are true. Boat B has travelled 10 metres further than boat A. Boat B is travelling at double the speed of boat A. The rate of change of the angle 0 is -0.1 radians per second. Find the speed of boat A at time T

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