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
Naily [24]
3 years ago
7

West of a city, a certain eastbound route is straight and makes a steep descent toward the city. The highway has a 14% grade, wh

ich means that its slope is − 14 100 . Driving on this road, you notice from elevation signs that you have descended a distance of 1000 ft. What is the change in your horizontal distance in miles
Physics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

1.35 miles

Explanation:

Since the slope is 14% grade = -14/100. This is a negative slope.

The distance of 1000 ft descended is a vertical descent, so assuming our initial position is 0, and Δx is the change in horizontal distance.

tanθ = -14/100 = (0 - 1000)/Δx = - 1000)/Δx

-14/100 = - 1000)/Δx

Δx = -1000 × -100/14= 7142.86 ft

5280 ft = 1 mile

7142.86 ft = 7142.86/5280 miles = 1.353 miles ≅ 1.35 miles

You might be interested in
A girl throws a pebble into a deep well at 4.0 m/s (downward). It hits the water in 2.0 s. How far below the ground is the water
alexandr402 [8]

Answer:

  • 27.6 m
  • 13.8 m/s

Explanation:

(b) The initial velocity is added to that due to acceleration by gravity. The velocity is increased linearly by gravity at the rate of 9.8 m/s². The average velocity of the pebble will be its velocity halfway through the 2-second time period.* That is, it will be ...

  4 m/s + (9.8 m/s²)(2 s)/2 = 13.8 m/s . . . . average velocity

__

(a) The distance covered in 2 seconds at an average velocity of 13.8 m/s is ...

  d = vt

  d = (13.8 m/s)(2 s) = 27.6 m

The water is about 27.6 m below ground.

_____

* We have chosen to make use of the fact that the velocity curve is linear, so the average velocity is half the sum of initial and final velocities:

  vAvg = (vInit + vFinal)/2 = (vInit + (vInit +at))/2 = vInit +at/2

__

If you work this in a straightforward way, you would find distance as the integral of velocity, then find average velocity from the distance and time.

  \displaystyle d=\int_0^t{(v_0+at)}\,dt=v_0t+\dfrac{1}{2}at^2=t\left(v_0+a\dfrac{t}{2}\right)\\\\v_{avg}=\dfrac{d}{t}=v_0+a\dfrac{t}{2}\qquad\text{the formula we started with}

8 0
3 years ago
A block of aluminum measures 4.0 cm x 5.0 cm x 2.0 cm is completely immersed in a tank of water.
Aneli [31]

Answer:

upthrust or BUOYANT FORCE =Vdg

volume=LWH

upthrust=(4cm×5cm×2cm)×1g/cm²×g

upthrust=40cm³×1g/cm³×g

upthrust=40gf or 0.04kg×10m/s²=0.4N

weight of the displaced liquid is upthrust.

so mass=40g or 0.04kg

upthrust=40gf or 0.4Nand mass of the displaced liquid=40g or 0.04kg

please mark brainliest, hope it helped

7 0
2 years ago
What generalization can be made about energy?
HACTEHA [7]
Well, energy can be produced from the burning of fossil fuels which produce steam to spin turbines which generates electricity. But fossil fuels like coal and oil are no renewable.
Some renewable ways to get energy is water where they separate hydrogen from h2o because hydrogen can be made into energy. Also nuclear fission is another way to get energy. That's when in a nuclear power plant, the atoms nucleus is split which sends a large amount of energy.
Wind energy is another source of energy, which is from windmills. Another renewable energy source is solar energy. That's when u use solar cells, like some houses and calculators have, which generates a lot of energy, but only in the day since the sun doesn't shine in the nigh.


Hope I helped!!!

6 0
3 years ago
Read 2 more answers
Please help!!!
iVinArrow [24]

A).  Her distance traveled was (700m + 500m) = <em>1,200 meters</em>

B).  Her displacement was (700m north + 500m south) = <em>200 meters north</em>

C).  Her average speed = (distance covered) / (time to cover the distance)

Speed = (1,200 meters) / (15 seconds)

<em>Speed = 80 meters/second</em>

(Layne is an incredible walker !  That's about 179 miles per hour.)

(She walks 700m in 10 seconds.  Usain Bolt runs only 100m in 10 seconds.)

D).  Her averge velocity = (displacement) / (time)

Velocity = (200 meters north) / (15 seconds)

<em>Velocity = (13 and 1/3) m/s north</em>

(This is only about 33% faster than Usain Bolt, if he went straight instead of doubling back, and if he could keep it up for 200 meters instead of only 100 meters.)

6 0
3 years ago
How does Water Pollution effect the economy
Lelechka [254]
Water pollution can affect the economy because with no clean water, people will be forced to buy water bottles impacting their disposable income. In the search for clean water, potential future conflicts may occur because water is a fundamental need to human survival. :) 
5 0
3 years ago
Other questions:
  • A series circuit has an impedance of 62.0 Ω and a power factor of 0.720 at a frequency of 47.0 Hz . The source voltage lags the
    7·1 answer
  • An object is thrown vertically upward at 27.1 m/s. The velocity of the object 3.4 seconds later is ____ m/s. Round your answer t
    10·1 answer
  • Michael Faraday has a unit of electricity named after him. It is called the Mic and it measures the size of certain electrical c
    9·1 answer
  • What are some ways living things can be grouped
    10·1 answer
  • Two students are trying to measure how high a ball bounces when it is dropped from different heights. They dropped a ball from P
    14·1 answer
  • Is a truck braking to avoid an accident moving at constant
    9·2 answers
  • What is Minimum Threshold Frequency?​
    7·2 answers
  • The diagram shows how Earth is tilted on its axis as it revolves around the Sun. What is the season in the United States when Ea
    9·1 answer
  • M = 30.3kg<br>M = 40.17kg 9<br>R = 0.5m<br>G = 6. 67x10^11<br>F ?​
    9·1 answer
  • True or False<br><br> An object will slow down and stop as long as no forces act upon it
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!