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
The grid in a triode is kept negatively charged to prevent...
Anestetic [448]
I think the correct answer is the third statement, electron from escaping from the tube containing the triode. The negative charge on the grid repels any electron in the tube. As a result,the flow of current is controlled. If the field is that strong, all current flow will stop resulting to maintaining the electron cloud in the tube. 
4 0
3 years ago
Read 2 more answers
What is the kinetic energy of a baseball moving at a speed of 40 m/s if the baseball has mass of 0.15 kg?
bonufazy [111]

0.5mv^2 > 0.5*0.15*40*40=120J

4 0
3 years ago
Read 2 more answers
A conducting bar moves along a circuit with a constant velocity. A constant magnetic field is perpendicular to the bar and circu
lana [24]

Answer:

0.500 T

Explanation:

Since the change in time and the number of coils are both 1, I set the problem up to be 1.3=(1.5(x)-13(x)). I then plugged in numbers for x until I got the answer to be 1.3 V.

6 0
3 years ago
Describe the energy transformation in a flashlight
anastassius [24]

Answer: When the flashlight is turned on, the chemical energy stored in batteries is converted into electrical energy that flows through wires of flashlight. This electrical energy is then transformed into light and heat energies.

Explanation:

4 0
3 years ago
Select all that apply.
Jobisdone [24]
\text{Acceleration}=\frac{d^2}{dt^2}\text{displacement}
So the dimensions of acceleration is LT^{-2}
Any answer that comes under that definition is correct.
6 0
3 years ago
Read 2 more answers
Other questions:
  • The objective lens in a microscope with a 17.0 cm long tube has a magnification of -50.0 and the eyepiece has a magnification of
    15·1 answer
  • If the force of an object doubles and the mass also doubles, by what factor does the acceleration change?
    6·1 answer
  • A 75-hp compressor in a facility that operates at full load for 2500 h a year is powered by an electric motor that has an effici
    7·1 answer
  • You and two of your friends go to the movies. Each ticket cost $7.50. You share the cost of the popcorn. If each person pays $9.
    8·2 answers
  • What is the unit for current? <br> a. a <br> b. c <br> c. i <br> d. t
    5·1 answer
  • In order to ensure that a cable is not affected by electromagnetic interference, how far away should the cable be from fluoresce
    13·1 answer
  • How do remote sensitive satellites help people stay safe from massive fires
    9·1 answer
  • Bumper car A (331 kg) moving east at 3.87 m/s hit stationary car B (208 kg). After, the car A moves .88 m/s east. What is the ve
    7·1 answer
  • Based on the diagram below, rank the three objects from least dense to most dense
    14·1 answer
  • Water stored in a reservoir is used to generate electricity as it flows down and into a river. The river flows to the ocean, whe
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!