Answered

The equation for distance is [tex]d = st[/tex]. If a car has a speed of [tex]35 \, \text{m/s}[/tex], how long will it take to go [tex]100 \, \text{m}[/tex]?

A. [tex]65 \, \text{s}[/tex]
B. [tex]5.9 \, \text{s}[/tex]
C. [tex]3500 \, \text{s}[/tex]
D. [tex]2.9 \, \text{s}[/tex]



Answer :

To determine how long it takes for a car traveling at a speed of 35 meters per second to cover a distance of 100 meters, we can use the relationship between distance, speed, and time given by the equation:

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

Here, [tex]\( d \)[/tex] is the distance, [tex]\( s \)[/tex] is the speed, and [tex]\( t \)[/tex] is the time. We need to solve for [tex]\( t \)[/tex]. Rearrange the equation to solve for time [tex]\( t \)[/tex]:

[tex]\[ t = \frac{d}{s} \][/tex]

Now, let's substitute the given values into the equation:
- The speed [tex]\( s \)[/tex] is 35 meters per second.
- The distance [tex]\( d \)[/tex] is 100 meters.

Thus,

[tex]\[ t = \frac{100 \text{ m}}{35 \text{ m/s}} \][/tex]

When we divide 100 by 35, we get:

[tex]\[ t \approx 2.857142857142857 \text{ seconds} \][/tex]

Rounding to one decimal place, the time [tex]\( t \)[/tex] is approximately 2.9 seconds. Therefore, the correct answer is:

D. 2.9 s