Hello, can someone please solve part d and e for this problem?
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Hello, can someone please solve part d and e for this problem?
Thank you
Transcribed Image Text:1) (Treat as a kinematics problem) You are on a team that designs driver assist software for
next generation cars. Currently, you are working on the following question: if you are
driving with speed v, and the traffic light a distance d ahead of you turns yellow, what
shall the car do, brake and come to a complete stop right at the intersection, or speed
up and make it through the intersection just before the light turns red. The time
duration for the yellow light is ty. Cars, intersections are all modeled as being point-like;
the moment the light turns yellow is designated as t = 0 s.
a) What is the critical distance where the car needs to take action (breaking or
accelerating) or the car would cross the intersection when the light is red?
b) Make a position-velocity-acceleration time graph for the unacceptable situation, i.e.
running the red light because no action (breaking or accelerating) has been taken.
c) Make a position-velocity-acceleration-time graph for the acceptable situations: breaking
and accelerating.
d) For the case of accelerating, what acceleration is needed to make it through the
intersection just when the light turns red? When are you going through the
intersection?
e) For the case of breaking, what acceleration is needed for coming to a complete stop at
the intersection? When are you coming to a complete stop?
Expert Solution
Introduction:
We are given 2 scenarios. In first we have to cross the intersection before the signal turning red. In second we have to stop just at the intersection. For this the final velocity should be zero. We are given our distance from the intersection.
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