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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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Step-by-step explanation:

\underline{ \underline{ \text{Given}}} :

  • \tt{4x + 3y = 20...........  \text{ equation \: ( \: i \: )}}
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\underline{ \text{USE \: ELIMINATION  \: METHOD}} :

Subtract equation ( ii ) from equation ( i ) :

Remember that the sign of each term of the second expression changes i.e equation ( i ) now becomes -4x -3y = -20

\tt{ \cancel{4x }+ 2y = 14}

\tt{ \cancel{ -  4x} -  3y =  - 20}

__________________

\tt{ - y =  - 6}

⟿ \tt{ \boxed{ \tt{y =  6}}}

Again , Substituting the value of y in equation ( ii ) :

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\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x =  \frac{1}{2 }  \: and \: y = 6}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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