Question

The speed of light is ×2.998108/ms . how long does it take light to travel 30.cm ? set the math up. but don't do any of it. just leave your answer as a math expression.

Answer 1

Time taken for light to travel 20 cm will be:
time=distance/speed
distance=30 cm=0.3 m
speed=2.998108 m/s
thus time taken will be:
time=0.3/2.998108=0.10006 seconds
thus the expression is:
time=0.3/2.998108

Answer 2

• time = 0.3 m / 2.998 x 10⁸ m/s
• 1.0 x 10⁻⁹ s

Further explanation

Given:

The speed of light is 2.998 x 10⁸ m/s

Question:

How long does it take light to travel 30 cm?

Just leave your answer as a math expression.

The Process:

Recall $\boxed{ \ 1 \ meter = 100 \ cm \ }$

Let us convert cm to m for distance traveled:

$\boxed{ \ 30 \ cm \times \frac{1 \ m}{100 \ cm} \rightarrow 0.3 \ m \ }$

The relationship between distance, speed, and time is as follows:

$\boxed{ \ distance = speed \times time \ }$

Because in this case you are being asked how long or time it takes, make it the subject.

$\boxed{ \ time = \frac{distance}{speed} \ }$

$\boxed{ \ time = \frac{0.3 \ m}{2.998 \times 10^8 \ m/s} \ }$

Rounding the quotient produces:

$\boxed{ \ time = 0.1 \times 10^{-8} \ s \ }$

Adjust it again to fit the scientific notation.

The result is $\boxed{ \ time = 1.0 \times 10^{-9} \ s \ }$

As a mathematical expression, the time taken for light is

$\boxed{ \ time = \frac{0.3 \ m}{2.998 \times 10^8 \ m/s} \ }$

Learn more

1. Representation of .000025 in scientific notation brainly.com/question/10830549
2. What is the speed of light in km/hr and mi/min? brainly.com/question/2088710#
3. About the engine displacement of Kawasaki Ninja brainly.com/question/5009365

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