(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. What is the critical distance where the car needs to take action (breaking or
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Hello,
Can someone please show how to solve problem 1?
Thank you
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77ccc228-61ae-45bc-bff3-36e89ce5abe9%2F00d0e4dc-543a-4bca-9fef-1e258f39b9a9%2Fot9mwlm_processed.jpeg&w=3840&q=75)
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