An aeroplane flies horizontally at 150 m s⁻¹ along a bearing 60° east of north - AQA - A-Level Physics - Question 22 - 2022 - Paper 1
Question 22
An aeroplane flies horizontally at 150 m s⁻¹ along a bearing 60° east of north.
How far north from its starting position is the aeroplane after one hour? [1 mark]
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Worked Solution & Example Answer:An aeroplane flies horizontally at 150 m s⁻¹ along a bearing 60° east of north - AQA - A-Level Physics - Question 22 - 2022 - Paper 1
Step 1
Calculating the Distance North
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Answer
To determine how far north the aeroplane is after one hour, we start by calculating the horizontal distance traveled in one hour. The speed of the aeroplane is 150 m/s, and in one hour (3600 seconds), the total distance traveled is:
Next, we need to find the northward component of this distance. Since the bearing is 60° east of north, we can use trigonometric functions to find the northward distance:
