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you are designing an airport for small planes. one kind of airplane that might use this airfield must reach a speed before takeoff of at least 27.8m/s and can accelerate at 2.00m/s a)if the runway is 150m long,can this airplane reach the required speed for take off?(in this case v=24.5 m/s) b) if not, what minimum length must the runway have(193m)

Respuesta :

(a)The required speed for take off will be 24.49 m/sec.

(b)The minimum length must the runway have 193 m.

What is speed?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its SI unit is m/sec.

(a)The required speed for take off will be 24.49 m/sec.

From the Newtons third equation of motion;

[tex]\rm v^2 = u^2+2as \\\\ v=0+2 \times 2 \times 150 \\\\ v=\sqrt{600}\\\\ v=24.49 \ m/sec[/tex]

Hence, the required speed for take off will be 24.49 m/sec.

(b)The minimum length must the runway have 193 m.

From the Newtons third equation of motion;

[tex]\rm v^2 = u^2+2as \\\\ (27.78)^2 = 0+2\times 2 s \\\\\ s=192.93 \ m[/tex]

Hence, the minimum length must the runway have 193 m.

To learn more about the speed, refer to the link;

https://brainly.com/question/7359669

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