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Naily [24]
3 years ago
15

A mountain climber starts in a cave, then climbs up the mountain. After 1 hour, he is 6 m under ground. After 4 hours, he is 6 m

above ground.
Which of the following equations models the elevation of the climber y over time, x?
Mathematics
1 answer:
Nookie1986 [14]3 years ago
3 0

Answer:

In Point Slope Form: y+6=4(x-1)

Step-by-step explanation:

<u>First you have to find the points given which are:</u>

  • (1, -6) and (4, 6)

<u>Label the points x1, y1, x2, and y2</u>

  • It already gives you the slope which is 4.

<u>Plot the points in the equation of Point Slope Form:</u>

<em><u>y1-y2=m(x-x1)</u></em>

  • y1-6=4(x-1)

<u>Simplify: y1-6=4x-4</u>

  • y=4x+2

<u>It doesn't ask you to simplify but why not!  </u>

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lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

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sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
5 0
3 years ago
What is 10x as much as 70?​
sleet_krkn [62]

9514 1404 393

Answer:

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Step-by-step explanation:

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115%of what number is 84.87
aivan3 [116]
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3 years ago
ANSWER PLS! Dont just respond for the points pls
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The answer to the question in the photo is 21
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Answer:

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Hope this helps!! Have a good day and remember to be tiger fierce!! :)

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