Final answer:
The question is a Physics problem in the field of kinematics, addressing a car's motion that involves acceleration and deceleration phases.
It is solved using classical mechanics principles and kinematic equations to determine time, distance, and velocity parameters.
Step-by-step explanation:
The question you're referring to is based in Physics, specifically the concepts of kinematics which involve the acceleration, velocity, and displacement of objects over time. The situation described is a car starting from rest, accelerating, coasting, and then decelerating until it stops.
The principles involved are essential parts of classical mechanics, an area of physics that deals with the motion of objects under the action of forces.
In solving these scenarios, one would typically use the kinematic equations that relate the initial and final velocities (vi and vf), the acceleration (a), the time interval (t), and the displacement or distance covered (d). An understanding of these concepts enables one to calculate various aspects of an object's motion such as the total time taken, the total distance covered, and the final velocity achieved.
The subject of the question is Physics, specifically related to kinematics and acceleration.
The car starts from rest and accelerates at a rate of 4.0 m/s^2 for 6.3 seconds. The initial velocity is 0 m/s, so we can use the equation v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time. Plugging in the values, we get v = 0 + (4.0)(6.3) = 25.2 m/s.
The car then coasts for 2.4 seconds, during which its velocity remains constant at 25.2 m/s. Finally, the car slows down at a rate of 3.4 m/s^2 until it comes to a stop at the next stop sign.