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
Olegator [25]
2 years ago
12

Two buses are driving along parallel freeways that are 5mi apart, one heading east and the other heading west. Assuming that eac

h bus drives a constant 55 mph, find the rate at which the distance between the buses is changing when they are 13mi apart, heading toward each other.

Physics
1 answer:
Oksanka [162]2 years ago
4 0

Answer:

101.54m/h

Explanation:

Given that the buses are 5mi apart, and that they are both driving at the same speed of 55m/h, rate of change of distance can be determined using differentiation as;

Let l be the be the distance further away at which they will meet from the current points;

l=\sqrt{13^2-5^2}=12m\\\\\frac{dl}{dt}=-(55m/h+55m/h})\\\\=-110m/h#The speed toward each other.

\frac{dh}{dt}=0, \ \ \ \ h=constant\\\\h^2+l^2=b^2\\\\2h\frac{dh}{dt}+2l\frac{dl}{dt}=2b\frac{db}{dt}\\\\2\times5\times0+2\times12\times(-110)=2\times13\frac{db}{dt}\\\\\frac{db}{dt}=-101.54m/h

Hence, the rate at which the distance between the buses is changing when they are 13mi apart is 101.54m/h

You might be interested in
NEED HELP QUICK PLZ! 51 Points!
Vesnalui [34]
Mechanical waves transfer energy by inducing vibrations in the propagation medium.
6 0
2 years ago
Read 2 more answers
A light ray strikes a flat, smooth, reflecting surface at an angle of 80° to the normal. What angle does
charle [14.2K]

Answer:

80 angle of incidence=angle of reflection

Explanation:

7 0
3 years ago
Read 2 more answers
250 W 12 km/h<br>4. Convert yoor answer from 3 to meters per second.​
taurus [48]

Answer: 3.33 m/s

Explanation:

Assuming the questions is to convert  12 km/h to meter per second (m/s), let's begin:

In order to make the conversion, we have to know the following:

1 km=1000 m

And:

1 h=3600 s

Keeping this in mind, we can make the conversion:

12 \frac{km}{h} \frac{1000 m}{1 km} \frac{1h}{3600 s}

Then:

12 \frac{km}{h}= 3.33 \frac{m}{s}

5 0
3 years ago
A spinning turbine at an electrical plant produces energy that flows through wires to your house. The energy in the wires can be
Anna007 [38]

The spinning turbine converts mechanical energy into electrical energy that is converted into light energy used to light up the house.

<h3>What is law conservation of energy?</h3>

The law of conservation of energy states that energy can neither be created nor destroyed but can be transformed from one form to another.

The spinning turbine works on the principle of mechanical energy.

Thus, the spinning turbine converts mechanical energy into electrical energy that is converted into light energy used to light up the house.

Learn more about mechanical energy here: brainly.com/question/24443465

#SPJ1

6 0
2 years ago
What direction does an applied force move an object
monitta
The object will move in the direction of the applied force.
4 0
2 years ago
Read 2 more answers
Other questions:
  • What is friction and how does it affect objects in motion?
    8·2 answers
  • Why is soft iron used for the core of an electromagnet?
    12·2 answers
  • Imagine Two Artificial Satellites Orbiting Earth At The Same Distance. One Satellite Has A Greater Mass Than The Other One? Whic
    8·1 answer
  • An astronomer would most likely use the doppler effect to question 12 options: 1) measure the color of a star. 2) measure the pa
    10·2 answers
  • Two 100kg bumper cars are moving towards eachother in oppisite directions. Car A is moving at 8 m/s and Car B at -10 m/s when th
    5·1 answer
  • 1. How can you explain the sound has energy?<br><br><br>​
    9·1 answer
  • a student throws a coin vertically downward frok the top of a building. the coin leaves the throwers hand with a speed of 15.0m/
    5·1 answer
  • How is it possible for the same object to have different amounts of gravitational potential energy?
    10·1 answer
  • 10. A kicked soccer ball has an initial velocity of 30 m/s at an angle of 42° above the horizontal, level
    11·1 answer
  • Explain how the intensity of the UV light varies across the Earth
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!