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IB Maths AA HL May 2021 TZ1 Paper 2 Q9 (related rates)
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 θ is the radian measure of the bearing of boat B from boat A.
Show that y = x + 50cotθ.
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 θ is -0.1 radians per second.
Find the speed of boat A at time T.
Видео IB Maths AA HL May 2021 TZ1 Paper 2 Q9 (related rates) канала IB Maths & Physics Tutor
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 θ is the radian measure of the bearing of boat B from boat A.
Show that y = x + 50cotθ.
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 θ is -0.1 radians per second.
Find the speed of boat A at time T.
Видео IB Maths AA HL May 2021 TZ1 Paper 2 Q9 (related rates) канала IB Maths & Physics Tutor
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27 марта 2023 г. 21:15:09
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