Mathematics: Light travels 9.45x10^15 meters a year. there are about 3.15x10^7 seconds a year. how far does light travel per second?

Light travels 9.45x10^15 meters a year. there are - id94510153251425, cairolove228

sarahelisabeth444

06.01.2022

ANSWER:

The speed of light is $3 \times 10^{8}$ m/s.

SOLUTION:

Given, Light travels $9.45 \times 10^{15}$ meters a year.

And there are about $3.15 \times 10^{7}$ seconds a year.

We need to find how far does light travel per second.

We know that, for anything, the distance, speed and time relation is given by

Distance traveled = travelling speed x time taken ----- (1)

Here, in our problem distance traveled = $9.45 \times 10^{15}$ meters a year.

Time taken = $3.15 \times 10^{7}$ seconds.

Now, substitute the above values in (1)

$9.45 \times 10^{15}=$ speed $\times 3.15 \times 10^{7}$$

Speed = $\frac{9.45 \times 10^{15}}{3.15 \times 10^{7}}$

Speed = $3 \times 10^{15-7}$

Speed = $3 \times 10^{8}$ m/s.

Hence, the speed of light is $3 \times 10^{8}$ m/s.

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