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You are analyzing a video of a moving object and want to calculate its average velocity. The video has a frame rate of 15 fps. As you are analyzing the video frame by frame, you see that the object moves a distance of 45 cm in 8 frames. What is the average velocity of the object in m/s?

Respuesta :

Answer:

v= 0.8 m/s

Explanation:

  • We can apply the definition of average velocity, as follows:

        [tex]v_{avg} = \frac{\Delta x}{\Delta t} (1)[/tex]

        where Δx = d = 0.45 m

  • In order to get the time t, we need to convert the frame rate to time.
  • If the frame rate is 15 fps, this means that one frame lasts for 1/15 sec, as follows:

       [tex]t_{fr} =\frac{1}{15} sec/frame = 0.07 sec/fr (2)[/tex]    

  • total time is just time for one frame, times 8 frames:

       t = 0.07 sec/fr*8 fr = 0.56 sec. (2)

  • Replacing d and t in (1), we get:
  • v = 0.8 m/s    

The average velocity of the moving Object is : 0.8 m/s

Given data :

Frame rate of Video = 15 fps

Distance moved by the object = 45 cm = 0.45 m

number of frames = 8

Determine the average velocity of the moving object

Average velocity = Δ distance / Total time  ---- ( 1 )

Given that the frame rate of the video = 15 fps ( frame per second )

Time for one frame to move = 1/15 secs

Total time = 1/15 * 8 frames = 0.56 sec

Back to equation ( 1 )

Average velocity = 0.45 m / 0.56 sec

                            = 0.8 m/s

Hence we can conclude that The average velocity of the moving Object is : 0.8 m/s

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