Use the equation [tex]\( d = st \)[/tex], where [tex]\( d \)[/tex] is distance, [tex]\( s \)[/tex] is speed, and [tex]\( t \)[/tex] is time.

If you ride a skateboard at a speed of [tex]\( 8 \, \text{m/s} \)[/tex] for 12 seconds, how far do you travel?

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]



Answer :

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]