Question

An Earth sized planet is found to be 9 light years away from the Earth. If you are traveling in a spaceship with a speed 22 km/s, then how much time will you take to reach that planet?

Answer 1

To reach an Earth-sized planet 9 light-years away at a speed of 22 km/s would take approximately 3.87 × 10¹¹ seconds or about 12.3 million years.

Step-by-step explanation:

The question asks how long it would take to reach an Earth-sized planet that is 9 light-years away if traveling at a speed of 22 km/s. To find the time taken, we would need to first convert the distance from light-years to kilometers, since the speed of the spaceship is given in kilometers per second.

A light-year is the distance that light travels in one year, and since light travels at approximately 299,792 km/s, we can calculate a light-year as:

This equals roughly 9.46 × 10¹² kilometers. Multiplying this by 9 to get the distance to the planet gives us 85.14 × 10¹² kilometers (9 * 9.46 × 10¹² km).

Now we can find the time taken by dividing the distance by the speed:

This results in Time = (85.14 × 10¹² km) / (22 km/s), which after calculation gives us a travel time of approximately 3.87 × 10¹¹ seconds. To convert this into years, we divide by the number of seconds in a year (60 s/min * 60 min/hour * 24 hours/day * 365 days/year) which gives us a travel time of roughly 12.3 million years.