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tiny-mole [99]
2 years ago
15

How many nanoseconds does it take light to travel 2.50 feet in a vacuum

Physics
1 answer:
Monica [59]2 years ago
5 0
A handy-dandy "rule of thumb" that I and many other engineers
have been using for years is:       

                                     1 nanosecond ===> 1 foot. 

Let's figure it out and see whether that's even close:

Speed of light in vacuum = 299,792,458 meters per second.

         (299,792,458 m/s) x ( 1 sec / 10⁹ nanosec) x (3.28084 ft/meter)

     =  (299,792,458 x 1 x 3.28084 x 10⁻⁹)  ft/nanosec

     =            0.983571  ft/nanosec  .

       That's  1.64%  less than  1.000000 .
       The engineer's handy-dandy rule of thumb is valid.

2.5 feet would take

           (2.5  x  0.983571 sec)  =   2.45893 nanoseconds
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The whole of the graph can be analysed using this process for each straight section of the graph separately, adding "s" for each section to the previous total of distance from starting line.

using "d" for initial distance from starting line ( position ), d1 for distance from starting line at t = 1, d2 for distance from starting line at t = 2, etcetera:

section 1, t = 0 to t = 1:

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section 2, t= 1 to t = 2:

d2 (t=0 to t=2) = 10 + s (t=0 to t=1) + s (t=1 to t=2).

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