Space Shuttle and the Moon

A space shuttle leaves earth traveling at constant velocity 2500 m / s 2500 \text{ m}/\text{s} . How long does it take to reach the moon, a distance of 3.6 × 1 0 8 m 3.6 \times 10^8 \text{ m} away, in days?

3 / 4 3/4 5 / 3 5/3 2 / 3 2/3 5 / 4 5/4

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1 solution

Andrew Tawfeek
Apr 12, 2016

Relevant wiki: Average Velocity

Using the very simple equation t i m e = d i s t a n c e r a t e time=\frac { distance }{ rate } , this problem can be tackled down very quickly. Plugging in what we have, we get t i m e = 2500 m / s 3.6 × 1 0 8 m time=\frac { 2500\quad m/s }{ 3.6\times 10^{ 8 }m } .

Now, just convert the numerator into meters per day so the units left in our equation cancel out to days, we can approach this by perhaps dimensional analysis:

t i m e = 3.6 × 1 0 8 m 2500 m / s = 3.6 × 1 0 8 m 2500 m 1 s × 6 0 2 s 1 h r × 24 h r 1 d a y = 5 / 3 d a y s time=\frac { 3.6\times 10^{ 8 }m }{ 2500\quad m/s } =\frac { 3.6\times 10^{ 8 }m }{ \frac { 2500m }{ 1s } \times \frac { 60^{ 2 }s }{ 1hr } \times \frac { 24hr }{ 1day } } =5/3\quad days

You put velocity in the place of the distance.

Tiago Xavier - 5 years, 2 months ago

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Whoops you're right, fixed!

Andrew Tawfeek - 5 years, 2 months ago

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