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 your bike at a speed of [tex]\(5 \, m/s\)[/tex] for 10 seconds, how far do you travel?

A. [tex]\(2 \, m\)[/tex]
B. [tex]\(50 \, m\)[/tex]
C. [tex]\(5 \, m\)[/tex]
D. [tex]\(0.5 \, m\)[/tex]



Answer :

Sure, let's solve this step-by-step using the equation [tex]\( d = s \cdot t \)[/tex], where [tex]\( d \)[/tex] is the distance, [tex]\( s \)[/tex] is the speed, and [tex]\( t \)[/tex] is the time.

We are given:
- Speed [tex]\( s = 5 \)[/tex] meters per second (m/s)
- Time [tex]\( t = 10 \)[/tex] seconds

Let's substitute the given values into the equation:

[tex]\[ d = s \cdot t \][/tex]

[tex]\[ d = 5 \, \text{m/s} \times 10 \, \text{s} \][/tex]

Now, perform the multiplication:

[tex]\[ d = 5 \times 10 \][/tex]

[tex]\[ d = 50 \][/tex]

Therefore, the distance traveled is [tex]\( 50 \)[/tex] meters.

From the provided choices:
A. [tex]\( 2 \, \text{m} \)[/tex]
B. [tex]\( 50 \, \text{m} \)[/tex] (correct answer)
C. [tex]\( 5 \, \text{m} \)[/tex]
D. [tex]\( 0.5 \, \text{m} \)[/tex]

The correct answer is [tex]\( \boxed{50 \, \text{m}} \)[/tex].