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shusha [124]
3 years ago
14

the flight of an aircraft from toronto to montrel can be modelled by he relation h=-2.5t2+200t where t is the time, in minutes,

and h is the height in metre
Mathematics
1 answer:
musickatia [10]3 years ago
6 0
So far, this is shaping up to be a very interesting and engaging exercise. Now, what do you want done with the model ? To put it in other words, what is the question ? ? (Other than the fact that no real flight can fit this model.)
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You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water you
NARA [144]

Answer:

When do you hit the water?

1.075 seconds after you jump.

What is your maximum height?

the maximum height is 12.5626 ft

Step-by-step explanation:

The equation:

h(t) = -16*t^2 + 6*t + 12

Is the height as a function of time.

We know that the initial height is the height when t = 0s

h(0s) = 12

and we know that the diving board is 12 foot tall.

Then the zero in h(t)

h(t) = 0

Represents the surface of the water.

When do you hit the water?

Here we just need to find the value of t such that:

h(t) = 0 = -16*t^2 + 6*t + 12

Using the Bhaskara's formula, we get:

t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}

Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)

The positive solution is:

t = (-6 - 28.4)/-32 = 1.075

So you hit the water 1.075 seconds after you jump.

What is your maximum height?

The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.

We know that the vertex of a general quadratic:

a*x^2 + b*x + c

is at

x = -b/2a

Then in the case of our equation:

h(t) = -16*t^2 + 6*t + 12

The vertex is at:

t = -6/(2*-16) = 6/32 = 0.1875

Evaluating the height equation in that time will give us the maximum height, which is:

h(0.1875) =  -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626

And the height is in feet, then the maximum height is 12.5626 ft

6 0
3 years ago
Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?
fomenos

Answer:

8 inches,

Step-by-step explanation:

2 2/3 = 8/3.

3 * 8/3

= 8 inches,

7 0
3 years ago
Can someone answer this please<br> Questions 19 and 21
Olegator [25]

Answer:

Wind speed

Another very old approach to measure wind speed is through the use of a pressure tube

Microbars per second

Earthquake intensity

The currently accepted method is the moment magnitude scale, which measures the total amount of energy released by the earthquake.

The Richter scale is used to determine the intensity of earthquakes

Step-by-step explanation:

3 0
2 years ago
3x+1/5 y= 7 solve for x
TiliK225 [7]
X = -1/15y+7/3

I hope this helps! :>
4 0
3 years ago
Read 2 more answers
Which of the following numbers has an odd number of factors 13,15,25,26?
kvv77 [185]

Answer:

25. Its cubed.

Step-by-step explanation:

7 0
3 years ago
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