How many nanoseconds does it take light to travel 1.00 ft in vacuum?

Here,

Light when travels through the vacuum it has maximum speed. The speed of light in vacuum is 3 x 108m/s. No object in the universe can travel more than this speed.

V= Velocity of light in vacuum (m/s)

D = Distance travelled by light (m)

T = Time taken (s)

Given data

Distance in ft = 1 ft

D = 0.3048 meter

V = 3 x 108 m/s( speed of light in vacuum)

Since, Formula of speed of light is the ratio of distance travelled by the light to the time taken to travelled that distance.

\(Velocity({\rm{m/s)}} = \frac{{Distace({\rm{m}})}}{{Time({\rm{s}})}}\)

\(\begin{aligned}{c}3 \times {10^8}\,{\rm{m/s}} &= \frac{{0.3048\,{\rm{m}}}}{T}\\T &= \frac{{0.3048\,{\rm{m}}}}{{3 \times {{10}^8}\,{\rm{m/s}}}}\\T &= 0.1016 \times {10^{ - 8}}\,{\rm{S}}\\T &= 1.016 \times {10^{ - 9}}\,{\rm{S}}\\T &= 1.016\,{\rm{nS}}\end{aligned}\)

\(1nS = {10^{ - 9}}\,{\rm{S}}\)

Hence from the above calculation it seems Light takes 1.016 nanoseconds to travel 1 ft distance in vacuum