Here are the essential concepts you must grasp in order to answer the question correctly.
Velocity
Velocity is a vector quantity that describes the rate of change of an object's position with respect to time. It has both magnitude and direction, indicating how fast and in which direction an object is moving. Understanding the velocity graph is crucial, as it provides information about how the velocity changes over time, which directly affects the object's position.
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Integration
Integration is a fundamental concept in calculus that allows us to find the total accumulation of a quantity. In the context of motion, integrating the velocity function over time gives the displacement or position of the particle. This process is essential for determining the object's position at specific time intervals, such as at 0 seconds and 4 seconds in this problem.
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Kinematics
Kinematics is the branch of physics that deals with the motion of objects without considering the forces that cause the motion. It involves analyzing position, velocity, and acceleration as functions of time. A solid understanding of kinematics is necessary to solve problems related to the motion of particles, including determining their position at given times based on their velocity.
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