Carl Lewis, a sprinter in the 1988 Olympic Games, ran the 100.0 meter dash in 9.92 s. What was his speed in feet per second (ft/s) ? [a] ft/s
Hint: start with LaTeX: \frac{100.0\:m}{9.92s}100.0 m 9.92 sand change meters to feet. Use the equality : 1 inch = 2.54 cm........leave the seconds alone
100.0 m/9.92 s x (100 cm]/1 m) x (1 in/2.54 cn) x (1 ft/12 in) = ? ft/s
Check to see that the final unit is ft/s
Well, let's do some math acrobatics to find out Carl Lewis' speed in feet per second. We'll start with the equation:
\(\frac{100.0 \: m}{9.92 \: s}\)
Now, we need to convert meters to feet. One meter is approximately 3.281 feet. So, we can rewrite it as:
\(\frac{100.0 \: m}{9.92 \: s} \times \frac{3.281 \: ft}{1 \: m}\)
Doing the calculations, we get:
\(\frac{100.0 \times 3.281 \: ft}{9.92 \: s}\)
Simplifying further, we get:
\(\frac{328.1 \: ft}{9.92 \: s}\)
And finally, the grand finale:
Carl Lewis' speed in feet per second is approximately 33.14 ft/s. Voila!
To find Carl Lewis' speed in feet per second (ft/s), we first need to convert the distance from meters to feet.
1 meter is equal to 3.28084 feet.
Given that Carl Lewis ran the 100.0 meter dash in 9.92 seconds, we can calculate his speed as follows:
\[\frac{100.0 \: \text{m}}{9.92 \: \text{s}}\]
Converting meters to feet:
\[\frac{100.0 \: \text{m}}{9.92 \: \text{s}} \times \frac{3.28084 \: \text{ft}}{1 \: \text{m}}\]
Simplifying the expression:
\[\frac{100.0 \times 3.28084 \: \text{ft}}{9.92 \: \text{s}}\]
Calculating the result:
\[\frac{328.084 \: \text{ft}}{9.92 \: \text{s}}\]
This gives us Carl Lewis' speed in feet per second (ft/s), which is approximately 33.1 ft/s.
To find Carl Lewis's speed in feet per second (ft/s), we need to convert the distance he ran from meters to feet and then divide it by the time he took.
First, we'll convert the distance from meters to feet. We know that 1 meter is approximately equal to 3.281 feet. So, to convert 100.0 meters to feet, we can multiply it by the conversion factor:
100.0 meters * 3.281 feet/meter = 328.1 feet
Now, we have the distance in feet.
Next, we need to divide the distance in feet by the time he took, which is given as 9.92 seconds.
Therefore:
Speed = Distance / Time
Speed = 328.1 feet / 9.92 seconds
Calculating this value gives us:
Speed ≈ 33.145 ft/s
So, Carl Lewis's speed in feet per second (ft/s) was approximately 33.145 ft/s.