A steam catapult launches a jet aircraft from the aircraft carrier John C. Stennis, giving it a speed of 195 mi/h in 2.90 s. (a) Find the average acceleration of the plane.

Respuesta :

Answer:

The average acceleration of the plane is 0.0186 [tex]\frac{mi}{s^{2} }[/tex]

Explanation:

The acceleration of an object is a magnitude that indicates how the speed of the object changes in a unit of time. That is, acceleration is a magnitude that relates changes in speed with the time it takes to occur.

The average acceleration of an object is calculated using the following expression:

[tex]acceleration=\frac{change of speed}{time}[/tex]

In this case:

  • change of speed=[tex]195 \frac{mi}{h} *\frac{1 h}{60 minutes} *\frac{1 minute}{60 s} =0.054 \frac{mi}{s}[/tex]
  • time= 2.90 s

Replacing:

[tex]acceleration=\frac{0.054 \frac{mi}{s} }{2.90 s}[/tex]

and solving you get:

acceleration=0.0186 [tex]\frac{mi}{s^{2} }[/tex]

The average acceleration of the plane is 0.0186 [tex]\frac{mi}{s^{2} }[/tex]

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