Final answer:
The question relates to kinematics in physics, where equations of motion are used to determine the time it takes for a police car to catch up to a speeding suspect or to calculate the distance covered during such a chase.
Step-by-step explanation:
The student seems to be asking about the motion of vehicles, specifically in the context of a police car giving chase to a suspect. This is a classic problem in kinematics, a branch of physics. To solve this, one would typically use equations of motion that take into account velocity, acceleration, and displacement. In problems like these, it's important to establish the starting velocities, the rates of acceleration, and the time at which the vehicles begin their motions. Equations such as v = u + at (final velocity = initial velocity + acceleration × time) and s = ut + 1/2 at^2 (displacement = initial velocity × time + 1/2 × acceleration × time^2) are often used to solve for the unknowns based on the given information. In the provided examples, calculations require solving for time till one vehicle catches up with another or determining the distance they cover. These problems demonstrate practical applications of physics principles related to uniform motion and uniformly accelerated motion.