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Leokris [45]
4 years ago
10

A model rocket is launched from the ground with an initial velocity of 100 feet per second. How many seconds later does the rock

et hit the ground?
Enter your answer as a number rounded to the nearest tenth, such as: 42.5

Mathematics
1 answer:
siniylev [52]4 years ago
3 0

Answer:

  6.3

Step-by-step explanation:

The rocket hits the ground at the same speed it left, only the velocity is downward, rather than upward. That is, the change in velocity is from +100 ft/s to -100 ft/s, a total change of 200 ft/s. The change in velocity is brought about by the acceleration due to gravity, 32 ft/s/s. The time required for the observed change in velocity is ...

  (200 ft/s)/(32 ft/s²) = 6.25 s

Rounded to tenths, it takes the rocket 6.3 seconds to hit the ground.

_____

The equation for the ballistic motion of the rocket is ...

  h(t) = -1/2·gt² +v0·t

where g is 32 ft/s² and v0 is 100 ft/s. A graph of this equation shows the rocket hits the ground at 6.25 seconds, as above.

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A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
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Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

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Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
Jakobe runs a coffee cart where he sells coffee for $1.50 tea for $2 , and donuts for $0.75 . On Monday, he sold 320 items and m
Andreyy89

Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of coffee, y represent the amount of tea and z represent the amount of donuts, hence:

x + y + z = 320    (1)

Also:

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And:

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From the equations:

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Jakobe sold 150 coffee, 50 tea and 120 donuts at the coffee cart on Monday.

Find out more on equation at: brainly.com/question/2972832

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Step-by-step explanation:

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