# Stopping distance/time and constant deceleration

1. Sep 18, 2009

### gbedenba

1. The problem statement, all variables and given/known data
You are driving to the grocery store at 18 m/s. You are 130 m from an intersection when the traffic light turns red. Assume that your reaction time is 0.50 s and that your car brakes with constant acceleration. What acceleration (magnitude) will bring you to rest right at the intersection? How long (total) does it take you to stop?

2. Relevant equations

3. The attempt at a solution I got how far from intersection til brakes are applied... = 119.775 m

2. Sep 18, 2009

### rl.bhat

Re: Hw

3. Sep 18, 2009

### gbedenba

Re: Hw

vi=18 m/s t = 0.5 secs a= 9.8 m/s/s

0= 18 + a(.5)

= 10.225

130-10.225= 119.775m

4. Sep 18, 2009

### rl.bhat

Re: Hw

0.5 s is the reaction time, not the total time.
During that time car moves 18*0.5 = 9 m. Then the brakes are applied.
Now the initial velocity is 18 m/s, distance is (130 - 9)m and final velocity is zero. Find acceleration and then time.

5. Sep 18, 2009

### gbedenba

Re: Hw

I am having a hard time finding acceleration and time...and this is due in ten mins...I keep getting -36m/s/s for acceleration...

6. Sep 18, 2009

Re: Hw