To successfully escape a planet's gravity, a space ship must achieve escape velocity, which for Earth is 11.2 km/s or 25,054 miles per hour. If a ship reaches this speed and maintains it, then neglecting the need to slow down prior to landing, how long would it take the ship to reach the Moon

The space ship would take 9.534 hours to reach the Moon.

Explanation:

Let suppose that space ship travels at constant speed, the distance between Earth and the Moon is approximately 384400 kilometers. Then, the time required to reach the Moon is:

Where:

- Time, measured in seconds.

- Distance between Earth and the Moon, measured in kilometers.

- Escape velocity, measured in kilometers per second.

If we know that and , then:

()

The space ship would take 9.534 hours to reach the Moon.

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