While running a 100m race, a runner runs from the 20m to 30m mark in 77 frames of a video record. If the video camera recorded data at 50 frames/s, how fast was she running during the video interval (in m/s)

Respuesta :

Answer:

Speed of the runner during video interval is 6.49 m/s

Explanation:

According to the problem,

Number of frames recorded by camera in 1 second = 50

Time takes by camera to record 1 frame = (1/50) s

Time taken by camera to record 77 frames, t = [tex]\frac{1}{50}\times 77[/tex] s

Distance covered by the runner during the video recording, d = 10 m

Speed, v = [tex]\frac{Distance}{time}=\frac{d}{t}[/tex]

Substitute the values of d and t in the above equation.

v = [tex]\frac{10}{\frac{77}{50} }[/tex]

v = 6.49 m/s