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cosmictide
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Hi,
I'm not really sure whether I've answered this question correctly. I'd really appreciate if someone could check my answers and point me in the right direction if I'm indeed incorrect.
Thanks in advance.
An aircraft has an air speed (speed relative to the surrounding air) of 680 km h-1 and a heading of 150°. There is a wind blowing from a bearing of 220° at a speed of 70 km h-1. Take i to point east and j to point north.
a) Express the velocity p of the aircraft relative to the air and the velocity w of the wind in component form, giving numerical values in km h-1 to one decimal place.
b) Express the resultant velocity v of the aircraft in component form.
c) Hence find the magnitude and direction of the velocity v of the aircraft,giving the magnitude to the nearest km h-1 and the direction as a bearing to the nearest degree.
These are the answers obtained.
a) p=340 km h-1 i-588.9 km h-1 j and w=53.6 km h-1 i+45 km h-1 j.
b) v=286.4 km h-1 i-633.9 km h-1 j.
c) Magnitude of v=696 km h-1 (to the nearest km h-1) and the direction of the velocity v=294° (to the nearest degree).
Thanks.
I'm not really sure whether I've answered this question correctly. I'd really appreciate if someone could check my answers and point me in the right direction if I'm indeed incorrect.
Thanks in advance.
Homework Statement
An aircraft has an air speed (speed relative to the surrounding air) of 680 km h-1 and a heading of 150°. There is a wind blowing from a bearing of 220° at a speed of 70 km h-1. Take i to point east and j to point north.
a) Express the velocity p of the aircraft relative to the air and the velocity w of the wind in component form, giving numerical values in km h-1 to one decimal place.
b) Express the resultant velocity v of the aircraft in component form.
c) Hence find the magnitude and direction of the velocity v of the aircraft,giving the magnitude to the nearest km h-1 and the direction as a bearing to the nearest degree.
The Attempt at a Solution
These are the answers obtained.
a) p=340 km h-1 i-588.9 km h-1 j and w=53.6 km h-1 i+45 km h-1 j.
b) v=286.4 km h-1 i-633.9 km h-1 j.
c) Magnitude of v=696 km h-1 (to the nearest km h-1) and the direction of the velocity v=294° (to the nearest degree).
Thanks.