Question

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

Answer 1

Answer:

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:

$t = \frac{s}{v}$

Where:

$t$ - Time, measured in seconds.

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

$v$ - Escape velocity, measured in kilometers per second.

If we know that $s = 384400\,km$ and $v = 11.2\,\frac{km}{s}$, then:

$t = \frac{384400\,km}{11.2\,\frac{km}{s} }$

$t = 34321.429\,s$ ($9.534\,h$)

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