Can someone me do this problem

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A driver approaches a yellow light at 50 km/h, 30 m from the intersection, with the light lasting 2 seconds before turning red. The discussion revolves around whether she should stop or accelerate, considering her car's maximum deceleration of -5.8 m/s² and acceleration capabilities. Calculations show that if she decelerates, she will stop within 16.632 m, while accelerating would allow her to travel 29.63 m before the light turns red. The key decision hinges on whether the time to reach the intersection is less than or greater than 2 seconds. The conclusion emphasizes the importance of calculating speed and distance to make an informed choice.
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Homework Statement



A person driving her car at 50 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection (Fig. 2-29). Should she try to stop, or should she make a run for it? The intersection is 15 m wide. Her car's maximum deceleration is -5.8 m/s2, whereas it can accelerate from 50 km/h to 70 km/h in 6.0 s. Ignore the length of her car and her reaction time.
If she hits the brakes, how far will she travel before stopping?
If she hits the gas instead, how far will she travel before the light turns red?

Homework Equations



i tried vf^2=Vi^2+2ad

The Attempt at a Solution


i didnt get the right answer. so can some please help??!
here's the pic http://i38.tinypic.com/2h4j86d.gif
 
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rakesh44 said:

Homework Statement



A person driving her car at 50 km/h approaches an intersection just as the traffic light turns yellow. She knows that the yellow light lasts only 2.0 s before turning to red, and she is 30 m away from the near side of the intersection (Fig. 2-29). Should she try to stop, or should she make a run for it? The intersection is 15 m wide. Her car's maximum deceleration is -5.8 m/s2, whereas it can accelerate from 50 km/h to 70 km/h in 6.0 s. Ignore the length of her car and her reaction time.
If she hits the brakes, how far will she travel before stopping?
If she hits the gas instead, how far will she travel before the light turns red?

Homework Equations



i tried vf^2=Vi^2+2ad

The Attempt at a Solution


i didnt get the right answer. so can some please help??!
here's the pic http://i38.tinypic.com/2h4j86d.gif

First, Did you get your units done properly... everything in meters and seconds perhaps?
 
actually yea my units were wrong. i found the answer. its 16.632 and 29.63. thnx for ur help pgardn
 
Last edited:
Emmm ...

Question # 1

Should she try to stop, or should she make a run for it ?


We have Her driving speed = 50*(1000/3600) m/s
Distance From car to traffic Light = 30 m
The time that yellow light can stand = 2.0 s

Speed = Distance / Time So Time = Distance / Speed

t=d/v , t= [30] / [50*(1000/3600)]

Now If t > 2.0 then she Should she try to stop
And If t < 2.0 then she should make a run for it


I Think it could be theright answer for Q1 So try it and let us know ^^

I'll come back for next 2 Questions.
 
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