Question

how many nanoseconds does it take light to travel 6.00 ft in vacuum? express your answer in nanoseconds.

Answer 1

Answer: 6.00 nanoseconds

Step-by-step explanation:

Formula

To calculate the time it takes for light to travel a certain distance, we can use the formula:

$\LARGE \textsf{Time = \frac{\textsf{Distance}}{\textsf{Speed}} }$

• Distance is the distance travelled by light.
• Speed is the speed of light in a vacuum.

Calculating the speed of light in a vacuum in feet per second

In this problem, we are given that the distance travelled by light is 6.00 ft.

To find the time it takes for light to travel this distance, we need to know the speed of light in a vacuum:

• The speed of light in a vacuum is approximately 299,792,458 metres per second (m/s)

• 299,792.458 kilometres per second (km/s).

To convert this speed to feet per second, we can multiply it by 3.28084 (1 metre = 3.28084 feet).

So, the speed of light in a vacuum in feet per second is:

$\large \textsf{299,792,458 m/s \times 3.28084 ft/m = 983,571,056.47 ft/s (rounded to 2 decimal}\\\textsf{places).}$

Calculations

Now we can use the equation:

$\large \textsf{Time = \frac{\textsf{Distance}}{\textsf{Speed}} }\\\\\large \textsf{Time = \frac{\textsf{6.00 ft}}{\textsf{983,571,056.47 ft/s}} }$

Simplifying this expression, we get:

$\large \textsf{Time = 6.00 \times 10^{-9} seconds or 6.00 nanoseconds}$

Therefore, it takes light approximately 6.00 nanoseconds to travel 6.00 ft in a vacuum.

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