A space shuttle leaves earth traveling at constant velocity . How long does it take to reach the moon, a distance of away, in days?
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Relevant wiki: Average Velocity
Using the very simple equation t i m e = r a t e d i s t a n c e , this problem can be tackled down very quickly. Plugging in what we have, we get t i m e = 3 . 6 × 1 0 8 m 2 5 0 0 m / s .
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 = 2 5 0 0 m / s 3 . 6 × 1 0 8 m = 1 s 2 5 0 0 m × 1 h r 6 0 2 s × 1 d a y 2 4 h r 3 . 6 × 1 0 8 m = 5 / 3 d a y s