Answer :
To convert the speed from feet per second (ft/s) to meters per second (m/s), we use the given conversion factor: [tex]\(1 \text{ ft} = 0.3048 \text{ m}\)[/tex].
1. Identify the given speed:
- The speed given is [tex]\(38.1 \text{ ft/s}\)[/tex].
2. Apply the conversion factor:
- To convert from feet to meters, multiply the speed in feet per second by the conversion factor.
- So, the calculation is:
[tex]\[
38.1 \text{ ft/s} \times 0.3048 \text{ m/ft}
\][/tex]
3. Calculate the result:
- Performing the multiplication gives us [tex]\(11.61288 \text{ m/s}\)[/tex].
4. Round the result to an appropriate number of significant figures:
- The appropriate option from the given choices matches the result to two significant figures:
- The rounded answer is approximately [tex]\(11.6 \text{ m/s}\)[/tex].
Therefore, the correct answer is [tex]\(11.6 \text{ m/s}\)[/tex], which corresponds to option (c).
1. Identify the given speed:
- The speed given is [tex]\(38.1 \text{ ft/s}\)[/tex].
2. Apply the conversion factor:
- To convert from feet to meters, multiply the speed in feet per second by the conversion factor.
- So, the calculation is:
[tex]\[
38.1 \text{ ft/s} \times 0.3048 \text{ m/ft}
\][/tex]
3. Calculate the result:
- Performing the multiplication gives us [tex]\(11.61288 \text{ m/s}\)[/tex].
4. Round the result to an appropriate number of significant figures:
- The appropriate option from the given choices matches the result to two significant figures:
- The rounded answer is approximately [tex]\(11.6 \text{ m/s}\)[/tex].
Therefore, the correct answer is [tex]\(11.6 \text{ m/s}\)[/tex], which corresponds to option (c).
