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s2008m [1.1K]
3 years ago
11

The minimum takeoff speed for a certain airplane is 75 m/s. What minimum acceleration is required if the plane must leave a runw

ay of length 1050 m? Assume the plane starts from rest at one end of the runway.

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
5 0

The solution is in the attachment

ioda3 years ago
3 0

Answer:

a = 2.68 m/s^2

The minimum acceleration required is 2.68 m/s^2

Step-by-step explanation:

Using the equation of motion;

v^2 = u^2 + 2as .....1

Where,

v = final velocity

u = initial velocity

a = acceleration

s = displacement

From equation 1;

Making a the subject of formula.

a = (v^2 - u^2)/2s ....2

Given;

v = 75 m/s

u = 0 (it starts from rest)

s = 1050m

Substituting the given values into equation 2

a = (75^2 - 0)/(2×1050)

a = 2.68 m/s^2

The minimum acceleration required is 2.68 m/s^2

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The floor of the gazebo shown is a regular octagon. Each side of the floor is 8 feet, and the area is about 309 square feet. You
Nimfa-mama [501]

Answer:

Area: 3.7 ft²

Ratio: 73.14 : 1

Step-by-step explanation:

Perimeter of an octagon = 8*side

Replacing with perimeter = 7 ft:

7 = 8*side

side = 7/8 ft = 0.875 ft

that is, each side of the model is 7/8 ft length.

Area of an octagon = 2*(1 + √2)*side²

Area of an octagon = 2*(1 + √2)*(7/8)²

Area of an octagon = 3.7 ft²

Perimeter of real gazebo = 8*8 = 64 ft

Then, the ratio of the perimeters (in feet) of the real gazebo floor to the model gazebo floor is 64:0.875. Multiplying each term by 8/7, we get 73.14:1

8 0
4 years ago
Can someone help me with this question please?
Anna71 [15]

Answer:

  36 ft²

Step-by-step explanation:

If BE = 3√2 ft, then the diagonal BD is 6√2 ft. The area of the square (as with any rhombus) is half the product of the diagonals. Since both diagonals are the same length, the area of the square is ...

  area = 1/2·(6√2 ft)² = 36 ft²

The area of the square is 36 square feet.

_____

You may be expected to find the length of one side of the square using the Pythagorean theorem.

  AB² = AE² + EB² . . . . . = the area of the square

  AB² = (3√2 ft)² +(3√2 ft)² = 18 ft² + 18 ft²

  AB² = 36 ft² . . . . . . . . . the area of the square

8 0
3 years ago
Use compatible numbers to estimate the quotient <br> 252÷3
ICE Princess25 [194]

Answer:

The value of the given expression is 84.

Step-by-step explanation:

The given expression is

\frac{252}{3}

The number 252 can be written as 240+12, because 24 can easily divisible by 3.

The compatible numbers are 240 and 12

\frac{252}{3}=\frac{240+12}{3}

\frac{252}{3}=\frac{240}{3}+\frac{12}{3}

\frac{252}{3}=80+4

\frac{252}{3}=84

Therefore the value of the given expression is 84.

4 0
3 years ago
A line contains the points R (-1, 8) S (1, 4) and T (6, y). Solve for y. Be sure to show and explain all work.
Nikitich [7]

Given:

A line contains the points R(-1, 8), S(1, 4) and T(6, y).

To find:

The value of y.

Solution:

Three points are collinear if:

x_1(y_2-y_3)+x_2(y_3-y_2)+x_3(y_1-y_2)=0

A line contains the points R(-1, 8), S(1, 4) and T(6, y). It means, these points are collinear.

-1(4-y)+1(y-8)+6(8-4)=0

-4+y+y-8+48-24=0

2y+12=0

Subtract 12 from both sides.

2y=-12

Divide both sides by 2.

y=\dfrac{-12}{2}

y=-6

Therefore, the value of y is -6.

3 0
3 years ago
Please help with my question due ASAP
Harlamova29_29 [7]
For the question the answer is a
5 0
3 years ago
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