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3 years ago

For two variables in a direct proportion, what is the result of doubling one variable?

1 answer:

7 0

If two variables are in direct proportion, doubling one variable means the other should also be doubled because the two variables increase at the same rate.

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A jet is travelling at a speed of 1200 km/h and drops cargo from a height of 2.5 km above the ground Calculate the time it takes

OLEGan [10]

a) Time of flight: 22.6 s

To calculate the time it takes for the cargo to reach the ground, we just consider the vertical motion of the cargo.

The vertical position at time t is given by

$y(t) = h +u_y t - \frac{1}{2}gt^2$

where

h = 2.5 km = 2500 m is the initial height

$u_y = 0$ is the initial vertical velocity of the cargo

g = 9.8 m/s^2 is the acceleration of gravity

The cargo reaches the ground when

$y(t) = 0$

So substituting it into the equation and solving for t, we find the time of flight of the cargo:

$0 = h - \frac{1}{2}gt^2\\t=\sqrt{\frac{2h}{g}}=\sqrt{\frac{2(2500)}{9.8}}=22.6 s$

b) 7.5 km

The range travelled by the cargo can be calculated by considering its horizontal motion only. In fact, the horizontal motion is a uniform motion, with constant velocity equal to the initial velocity of the jet:

$v_x = 1200 km/h \cdot \frac{1000 m/km}{3600 s/h}=333.3 m/s$

So the horizontal distance travelled is

$d=v_x t$

And if we substitute the time of flight,

t = 22.6 s

We find the range of the cargo:

$d=(333.3)(22.6)=7533 m = 7.5 km$

7 0

3 years ago

What climate factor is responsible for the snow on my Kilimanjaro

Nimfa-mama [501]

The climate factor that is responsible for the amount of snow on Mt. Kilimanjaro is high elevation. In the concept of precipitation, as an air mass rises and cools, its capacity to hold water vapor lessens. This vapor condenses into water droplets, forming clouds. Terrain with high elevation attracts such formations, bringing with them cloudiness, rainfall, and snowfall.

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3 years ago

A bird flies directly into the windshield of a moving car. How does the FORCE exerted on the car compare to the FORCE exerted on

Anarel [89]

Answer:

Explanation:

7 0

3 years ago

Can help me by awnsering this quetion??<br>i need the awnser directly!!

MrMuchimi

Smooth, rough

Less, more

Fast, slow

4 0

3 years ago

Read 2 more answers

Write a hypothesis about the use of an object’s physical characteristics to determine its density. Use the format "if . . . then

Mnenie [13.5K]

Answer:

∧·······∵·······∴·······Hello :D········∴·······∵·······∧

How is Mass or volume change affect density?: Density is an intensive property of the material or substance and depends upon the relationship between the mass and volume. Unless the mass changes in relation to the volume, the density will not change.

Are mass and volume related?: Mass and volume are two units used to measure objects. Mass is the amount of matter an object contains, while volume is how much space it takes up.We can say that the volume of the object is directly proportional to its mass. As the volume increases the mass of the object increases in direct proportion.

How can density of an object be determined?: If the mass of an object increases then its density increases because density is directly proportional to mass.

Hope this helped too. ~(;-;)~

Explanation:

<h2>Hope this helps! </h2><h2 />

8 0

3 years ago