Question

nasa launched the voyager 1 space probe in 1977. it has since reached interstellar space, making it the farthest human - made object from earth. with respect to the sun, voyager 1 travels at a nearly constant speed of approximately 38,000 mi/h, or 10.6 mi/s. what distance does voyager 1 travel over 20 s? miles image credit ~

Explanation:

Step1: Recall the speed - distance - time formula

The formula for distance \(d\) is \(d = v\times t\), where \(v\) is speed and \(t\) is time.

Step2: Identify the given values

The speed \(v = 38000\) miles per hour and the time \(t = 20\) seconds. First, convert the time from seconds to hours since the speed is in miles per hour. There are 3600 seconds in an hour, so \(t=\frac{20}{3600}=\frac{1}{180}\) hours.

Step3: Calculate the distance

Substitute \(v = 38000\) miles per hour and \(t=\frac{1}{180}\) hours into the formula \(d = v\times t\). So \(d=38000\times\frac{1}{180}=\frac{38000}{180}=\frac{1900}{9}\approx211.11\) miles.

Answer:

Approximately \(211.11\) miles