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An object is moving at a speed of 6 inches every 4.5 days. Express this speed in yards per year. Round your answer to the nearest tenth.

Respuesta :

i added .. i got 10.5

The definition of average speed and unit reductions allows to find the result for the speed of the object is:

  • The velocity is:   v = 13.5 [tex]\frac{yard}{year}[/tex]

Kinematics studies the movement of bodies, looking for relationships between the position, velocity and acceleration of bodies.

Average velocity is defined as the change in position between the interval time

       v = [tex]\frac{\Delta x}{\Delta t}[/tex]

Where v is the velocity, Δx and Δt the change in position and time, respectively.

The system of units is a system that allows the exchange of data and values ​​with precision and without errors, the most used system in the world is the international system of measurements (SI), another system also used is the English system, where the basic units are the foot and the second.

They indicate the displacement in the form of a 6-inch in a time of 4.5 days. Let's look for speed.

    v = [tex]\frac{6 \ inch}{4.5 \ day }[/tex]    

    v = 1.3333 inch/days

They ask that I know this speed in yards per year, let's reduce the units.

   1 yard = 36 in

   1 year = 365 days

Let's reduce.

 

   v = [tex]1.33333 (\frac{inch}{day}) \ (\frac{1 yard}{36 inch}) \ ( \frac{365 day }{1 year} )[/tex]  

   v = 13.52 yard / year

The result is requested with a nearest tenth.

   v = 13.5 yard / year

In conclusion using the definition of average speed and unit reductions we can find the result for the speed of the object is:

The veloicity is:  v = 13.5 [tex]\frac{yard}{year}[/tex]  

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