Respuesta :
The order from greatest acceleration to least:
[tex]6.4 m/s^2 > 4.467 m/s^2> 4.475 m/s^2[/tex]
Given:
- Car A can accelerate from 0 m/s to 17.9 m/s in 4.0 s
- Car B can accelerate from 0 m/s to 22.4 m/s in 3.5 s
- Car C can accelerate from 0 to 26.8 m/s in 6.0 s
To find:
Rank the three cars from greatest acceleration to least
Solution:
- Car A can go from 0 m/s to 17.9 m/s.
Initial velocity = u = 0 m/s
Final velocity = v = 17.9 m/s
Time atken = 4.0 s
Using first equation of motion:
[tex]v=u+at\\\\17.9 m/s=0 m/s+a\times 4.0 s\\\\a=\frac{17.9 m/s}{4.0 s}=4.475 m/s^2[/tex]
- Car B can go from 0 m/s to 22.4 m/s.
Initial velocity = u = 0 m/s
Final velocity = v = 22.4 m/s
Time atken = 3.5 s
Using first equation of motion:
[tex]v=u+at\\\\22.4 m/s=0 m/s+a\times 3.5s\\\\a=\frac{22.4m/s}{3.5s}=6.4m/s^2[/tex]
- Car C can go from 0 m/s to 26.8 m/s.
Initial velocity = u = 0 m/s
Final velocity = v = 26.8 m/s
Time atken = 6.0 s
Using first equation of motion:
[tex]v=u+at\\\\26.8 m/s=0 m/s+a\times 6.0 s\\\\a=\frac{26.8m/s}{6.0 s}=4.467m/s^2[/tex]
The order from greatest acceleration to least:
[tex]6.4 m/s^2 > 4.467 m/s^2> 4.475 m/s^2[/tex]
Learn more about acceleration here:
brainly.com/question/2437624?referrer=searchResults