The distance from the earth to the moon is approximately 240,000 miles. if a rocket travels at a speed of 7.50 km/sec, it will take __________ days to travel between the earth and moon.

In a simplistic way,
time = distance/velocity.

This is a simple formula which is valid only average velocity is computed for the travel between the earth and the moon.

Note that
1 mile = 1.60934 km

Therefore
d = 240,000 mi = 240,000*1.60934 = 386,241.6 km

The time of travel is
(386241.6 km)/(7.5 km/s)
= 51,499.9 s
= (51499.9)/(3600) = 14.305 h
= 14.305/24 = 0.596 days

Answer: 0.596 days

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mariejoepagaduan mariejoepagaduan · Answer 2 · 2019-08-26T16:53:37+02:00

It will take 0.60 days to travel between the earth and moon.

FURTHER EXPLANATION

Speed is how fast an object moves or how far an object travels per unit time. If the distance traveled and the total time of travel are known, the speed can be calculated using the formula:

[tex]speed = \frac{distance}{time}[/tex]

In the problem, we are given:

• speed = 7.50 km/sec

• distance = 240,000 miles

We are looking for the time it will take to travel between the earth and moon which can be represented by the variable t.

We can solve for t by manipulating the speed formula to get the equation:

[tex]time (t) = \frac{distance}{speed}\\[/tex]

But before we can plug in the given into the formula, the distance must be converted to kilometers to be consistent with the units used for the speed.

Now that the distance is in km, the time taken can be calculated using the formula above:

[tex]time (t) = \frac{386241.6 \ km}{7.50 \frac{km}{s}}\\\\time (t) = 51498.88 s[/tex]

Since the problem requires the time in days, we convert from seconds to days:

[tex]time(t) = 51498.88 \ s \times \frac{1 \ min}{60 \ s} \times \frac{1 \ h}{60 \ min} \times \frac{1 \ day}{24 \ h}\\\\time(t) = 0.5961 \ days[/tex]

Since the least number of significant figures in the given is two significant digits, the answer must also have two. Therefore, the final answer must be 0.60 days.

The distance from the earth to the moon is approximately 240,000 miles. if a rocket travels at a speed of 7.50 km/sec, it will take __________ days to travel between the earth and moon.

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