Answer:
It takes her 3.409 seconds to make a full stop.
Explanation:
The time it takes to make a full stop can be determined by the equation of velocity for a Uniformly Accelerated Rectilinear Motion:
[tex]v_{f} = v_{i} + at[/tex] (1)
Where [tex]v_{f}[/tex] is the final velocity, [tex]v_{i}[/tex] is the initial velocity, a is the acceleration and t is the time.
Equation (1) can be rewritten in terms of t:
[tex]v_{f} - v_{i} = at[/tex]
[tex]t = \frac{v_{f} - v_{i}}{a}[/tex] (2)
For this particular case the final velocity will be equal to zero ([tex]v_{f} = 0[/tex]):
[tex]t = \frac{0 m/s - 30.0 m/s}{-8.80 m/s^{2}}[/tex]
[tex]t = 3.409 s[/tex]
So it takes her 3.409 seconds to make a full stop.
