Stopping Distance + Reaction Time Problem -> Physics beginner

[MyFinalRegret]

Stopping Distance + Reaction Time Problem ---> Physics beginner

Homework Statement

A car is traveling at 80km/h, and brakes with a reaction time of .5 seconds. The car decelerates at 8m/s/s, determine the stopping distance of the car.

Homework Equations

- V₁ = V₀ + at
- D = V₀t + 1/2at²

Where:
V₁ = Final Speed
V₀ = Initial Speed
A = Acceleration
T = Time
D = Distance

The Attempt at a Solution

Distance Traveled before Braking:
80km/h = 22.22m/s

0.5 * 22.22m/s = 11.11 m

Distance After Reaction:
V₁ = V₀ + at
0 = 22.22 - 8t
t = 2.7775 seconds

D = V₀t + 1/2at²
D = 22.22 * 2.7775 - [(8 * 2.7775²)/2]
D = 30.86m

Total Stopping Distance = 11.11m + 30.86m
= 41.97 m

Notes
I am only beginning to learn some basic concepts of physics in class, so I'm not entirely sure about the equations.

My teacher has provided no answer sheet to the question, and I am finding it hard to grasp the method of solving the question without a step by step example from a similar question.

I'd greatly appreciate it if anyone could let me know if I am right, or how to do it if I am wrong.

Thanks :D

 

[Doc Al]

Looks good to me--everything's correct.

FYI, there's another kinematic equation that relates velocity and distance directly for accelerated motion. That would enable you to combine a few steps. See: https://www.physicsforums.com/showpost.php?p=905663&postcount=2"

 

[MyFinalRegret]

Thank you for the help and additional formulas !
Now I'll be able to do my other sums :D