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Question
if it took you 1 minute to get from physical science to lunch which is 80 meters away, how fast (in m/s) were you moving? 1.33 m/s
if the sun is 93,000,000 miles away and light travels at 300,000 km/s, how long in minutes does it take for light from the sun to reach earth? (1 mi = 1.609 km) 8.31 minutes
if you run 100 meters in 20 seconds, what is your speed? 5 m/s
how far can you get away from your little brother with the squirt gun filled with paint if you can travel at 3 m/s and you have 15 s before he sees you? choose
Step1: Recall the speed - distance - time formula
The formula for speed is $v=\frac{d}{t}$, where $v$ is speed, $d$ is distance, and $t$ is time. For distance, the formula is $d = v\times t$.
Step2: Solve the first problem
Given $d = 80$ m and $t=1$ minute $= 60$ s. Using $v=\frac{d}{t}$, we have $v=\frac{80}{60}\approx1.33$ m/s.
Step3: Solve the second problem
First, convert the distance from miles to kilometers. Given $d = 93000000$ miles, and since $1$ mi$ = 1.609$ km, then $d=93000000\times1.609 = 149637000$ km. Using $t=\frac{d}{v}$ with $v = 300000$ km/s, we get $t=\frac{149637000}{300000}=498.79$ s. Convert seconds to minutes: $t=\frac{498.79}{60}\approx8.31$ minutes.
Step4: Solve the third problem
Given $d = 100$ m and $t = 20$ s. Using $v=\frac{d}{t}$, we have $v=\frac{100}{20}=5$ m/s.
Step5: Solve the fourth problem
Given $v = 3$ m/s and $t = 15$ s. Using $d=v\times t$, we have $d=3\times15 = 45$ m.
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45 m