1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alekssandra [29.7K]
3 years ago
14

Two airplanes leave an airport at the same time.The velocity of the first airplane is 700 m/h at a heading of 31.3 the velocity

of the second is 570 m/h at the heading of 134° how far apart are they after three hours?
Physics
2 answers:
MArishka [77]3 years ago
5 0

Here in order to find out the distance between two planes after 3 hours can be calculated by the concept of relative velocity

v_{12} = v_1 - v_2

here

speed of first plane is 700 mi/h at 31.3 degree

v_1 = 700 cos31.3\hat i + 700 sin31.3\hat j

v_1 = 598.12\hat i + 363.7\hat j

speed of second plane is 570 mi/h at 134 degree

v_2 = 570 cos134 \hat i + 570 sin134 \hat j

v_2 = -396\hat i + 410\hat j

now the relative velocity is given as

v_{12} = (598.12 + 396)\hat i + (363.7 - 410)\hat j

v_{12} =994.12\hat i -46.3 \hat j

now the distance between them is given as

d = v* t

d = (994.12 \hat i - 46.3 \hat j)* 3

d = 2982.36\hat i - 138.9\hat j

so the magnitude of the distance is given as

d = \sqrt{2982.36^2 + 138.9^2}

d = 2985.6 miles

so the distance between them is 2985.6 miles

Lena [83]3 years ago
4 0

Answer:

Planes are 2985.48 miles far after 3 hours.

Explanation:

 Let right represents positive x- axis and up represent positive y - axis. Horizontal component is i and vertical component is j.

We have velocity of the first airplane is 700 m/h at an angle 31.3° to the horizontal.

So Velocity of first plane = 700 cos 31.3 i +   700 sin 31.3 j

                                          = (598.12 i + 363.66 j) m/h

We also have velocity of the second airplane is 570 m/h at an angle 134° to the horizontal.

      Velocity of second plane = 570 cos 134 i +   570 sin 134 j

                                                 = (-395.96 i + 410.02 j) m/h

Displacement of first plane after 3 hours = Velocity * Time

                                                    = (598.12 i + 363.66 j) *3

                                                     = (1794.36 i + 1090.98 j) mi

Displacement of second plane after 3 hours = (-395.96 i + 410.02 j)*3

                                                      = (-1187.88 i + 1230.06 j) mi

Displacement vector between two planes = (1794.36 i + 1090.98 j) - (-1187.88 i + 1230.06 j)

                                                      = (2982.24 i - 139.08 j) mi

Magnitude of displacement = \sqrt{2982.24^2+(- 139.08)^2} =2985.48 mi

So planes are 2985.48 miles far after 3 hours.

You might be interested in
In the first-order spectrum, maxima for two different wavelengths are separated on the screen by 3.40 mm . what is the differenc
Strike441 [17]

The solution would be like this for this specific problem:

 

Given:  

diffraction grating slits = 900 slits per centimeter

interference pattern that is observed on a screen from the grating = 2.38m

maxima for two different wavelengths = 3.40mm

 

slit separation .. d = 1/900cm = 1.11^-3cm = 1.111^-5 m <span>

Whenas n = 1, maxima (grating equation) sinθ = λ/d 
Grant distance of each maxima from centre = y .. 
<span>As sinθ ≈ y/D  y/D = λ/d λ = yd / D </span>

∆λ = (λ2 - λ1) = y2.d/D - y1.d/D 
∆λ = (d/D) [y2 -y1] 

<span>∆λ = 1.111^-5m x [3.40^-3m] / 2.38m .. .. ►∆λ = 1.587^-8 m</span></span>

6 0
3 years ago
Identify the type of electrification of the road
Arte-miy333 [17]
Electrification is widely considered as a viable strategy for reducing the oil dependency and environmental impacts of road transportation. In pursuit of this strategy, most attention has been paid to electric cars. However, substantial, yet untapped, potentials could be realized in urban areas through the large-scale introduction of electric two-wheelers.
6 0
3 years ago
Some people will realize that they are dreaming while the dream is happening this is called
algol [13]

Answer:

C. Lucid Dreaming

6 0
3 years ago
What property is used to distinguish the layers of the atmosphere?
Margarita [4]
There are many porperties. You can use Altitude, Temperature, Pressure and Density, but the best one is temperature. The resaon for that is that based on the temperature changes then the athmosphere can be broken into four major layers. Remember that the layers are the following: <span>the </span>troposphere,the<span> </span>stratosphere, <span>the </span>mesosphere<span>, and the</span>thermosphere<span>.</span>
3 0
3 years ago
Read 2 more answers
Which of the following most directly shows how physics affects society?
Nataliya [291]

the answer is definitely A.

5 0
3 years ago
Other questions:
  • How does a convex mirror form an image?
    11·2 answers
  • If we decrease the time it takes for a car to travel over the same distance, this will
    10·2 answers
  • Atoms are spherical in shape. Therefore, the Pt atoms in the cube cannot fill all the available space. If only 74.0 percent of t
    5·1 answer
  • ) So we are in a Universe with no center and no edge, but it is expanding... and it might be infinite. And it is all space and t
    14·1 answer
  • How does the law of conservation of energy apply to machines?
    11·2 answers
  • During an experiment, you take a measurement of 18.3 inches. What is this measurement in centimeters? 1 in = 2.54 cm
    15·2 answers
  • 1. How much force would you have to apply to a 15kg object in order to accelerate it!<br> a 2 m/s?
    8·1 answer
  • A 0.772 kg glass jar falls off a shelf
    12·1 answer
  • Two objects, A and B, have the same volume and are completely submerged in a liquid, although A is deeper than B. Which object,
    11·1 answer
  • Si un astronauta tiene una masa de 72kg si el valor de g en la luna es 1.6m/s2, ¿cual es la fuerza gravitacionar de la luna sobr
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!