Sure, let's solve the problem step by step using the given information:
1. Identifying the variables:
- Speed ([tex]\( s \)[/tex]) = 8 meters per second (m/s)
- Time ([tex]\( t \)[/tex]) = 12 seconds (s)
- Distance ([tex]\( d \)[/tex]) is what we need to find.
2. Using the equation [tex]\( d = s \cdot t \)[/tex]:
- Here, [tex]\( s = 8 \, \text{m/s} \)[/tex] and [tex]\( t = 12 \, \text{s} \)[/tex].
3. Calculating the distance:
- Multiply the speed by the time to find the distance.
[tex]\[
d = 8 \, \text{m/s} \times 12 \, \text{s}
\][/tex]
4. Result:
- Therefore, the distance you travel is:
[tex]\[
d = 96 \, \text{m}
\][/tex]
5. Comparing with the given choices:
- A. [tex]\( 1.5 \, \text{m} \)[/tex]
- B. [tex]\( 48 \, \text{m} \)[/tex]
- C. [tex]\( 96 \, \text{m} \)[/tex]
- D. [tex]\( 4 \, \text{m} \)[/tex]
Since we calculated that [tex]\( d = 96 \, \text{m} \)[/tex], the correct answer is:
C. [tex]\( 96 \, \text{m} \)[/tex]
