Step-by-step explanation:
The wind has a speed of w and a direction α with the vertical. The x component of that speed is w sin α. The y component is -w cos α.
In order to stay on the north trajectory AB, the plane must have a horizontal speed of -w sin α. The plane's speed is v, so using Pythagorean theorem, the y component of the plane's speed is:
v² = (-w sin α)² + vᵧ²
v² = w² sin²α + vᵧ²
vᵧ = √(v² − w² sin²α)
The total vertical speed is therefore √(v² − w² sin²α) − w cos α.
If a is the length of AB, then the time is:
t = a / [√(v² − w² sin²α) − w cos α]
To rationalize the denominator, we multiply by the conjugate.
t = a / [√(v² − w² sin²α) − w cos α] × [√(v² − w² sin²α) + w cos α] / [√(v² − w² sin²α) + w cos α]
t = a [√(v² − w² sin²α) + w cos α] / (v² − w² sin²α − w² cos²α)
t = a [√(v² − w² sin²α) + w cos α] / (v² − w²)
Answer:
V = 113.04
Step-by-step explanation:
Volume of a sphere:
V = 4/3πr³
V = 4/3(3.14)3³
V = 4/3(3.14)27
V = 113.04
Answer:
Step-by-step explanation:
Women's rights are the fundamental human rights that were enshrined by the United Nations for every human being on the planet nearly 70 years ago. These rights include the right to live free from violence, slavery, and discrimination; to be educated; to own property; to vote; and to earn a fair and equal wage.
Answer:
c = 3/5
Step-by-step explanation:
5c+16.5=13.5+10c
Subtract 5c from each side
5c-5c+16.5=13.5+10c-5c
16.5 = 13.5 +5c
Subtract 13.5 from each side
16.5 -13.5 =13.5-13.5 +5c
3 = 5c
Divide by 5
3/5 = 5c/5
3/5 =c
Answer:
I don't know the answer, sorry! But I'm stuck on this question too and I was wondering if you figured out the answer?
Step-by-step explanation: