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MyFinalRegret

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**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

- V

_{1}= V

_{0}+ at

- D = V

_{0}t + 1/2at

^{2}

Where:

V

_{1}= Final Speed

V

_{0}= 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:*

V

_{1}= V

_{0}+ at

0 = 22.22 - 8t

t = 2.7775 seconds

D = V

_{0}t + 1/2at

^{2}

D = 22.22 * 2.7775 - [(8 * 2.7775

^{2})/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