Answer: 0.492 s
Explanation:
We can use the following equation to solve this problem:
[tex]V=V_{o}+a.t[/tex]
Where:
[tex]V=24.6 m/s[/tex] is the car’s final velocity
[tex]V_{o}=0 m/s[/tex] is the car’s initial velocity (it starts from rest)
[tex]a=50 m/s^{2}[/tex] is the car's acceleration
[tex]t[/tex] is the time we have to find
Isolating [tex]t[/tex]:
[tex]t=\frac{V-V_{o}}{a}[/tex]
[tex]t=\frac{24.6 m/s-0 m/s}{50 m/s^{2}}[/tex]
Finally:
[tex]t=0.492 s[/tex]
