two boats A and B travel due north. initially boat B is positioned 50 metres due east
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Question:
two boats A and B travel due north.
initially boat B is positioned 50 metres due east of boat A.
The distance travelled by boat A and Boat B, after t seconds, are x metres and y metres respectively. The angle is the radian measure of the bearing of boat B from boat A.
(a) show that y=x+50cot
at time T, 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 is -0.1 radians per second
(b) Find the speed of boat A at time T
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