- #1
bammeh
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Homework Statement
You are traveling at 20 m/s and the stop light turns yellow. You have to make an insantaneous decision: Do i brake before the intersection or do I hit the gas pedal and beat the light? Keep in mind that this particular intersection is photo-enforced, and an $85 traffic ticket will be issued if you run the stop light.
total time must not exceed 5 seconds
You have a 1 second reaction time.
The intersection is 15m wide.
When you first saw the light turn yellow, you were 50m in front of the intersection.
Acceleration rate is 2m/s^2
Deceleration rate is 5m/s^2
Homework Equations
a= vf-vi/t
The Attempt at a Solution
If you stop at the light:
Time Action Velocity
0 Saw Light Turn 20m/s
1 Reaction 15 m/s
2 10m/s
3 5 m/s
4 0 m/s
5 -5 m/s
If you try to beat the light:
Time Action Velocity
0 Saw Light Turn 20 m/s
1 Reaction 22m/s
2 Hit the Gas 26m/s
3 Speed Up 32 m/s
4 Speed Up 40 m/s
5 Speed Up 50 m/s
There are more questions but this is the main part i am unsure about. :/