Final answer:
In physics, establishing a reference point and direction is crucial for accurate calculations of motion. Known values and equation selection are followed by assessing the physical significance of solutions, with analytical techniques typically offering greater accuracy compared to graphical methods.
Step-by-step explanation:
When dealing with physics problems that involve motion, it's critical to establish a reference point and direction to correctly calculate distances and displacements. For instance, if we are considering a scenario where someone travels from one location to another, we define one point (like Komal's house) as the reference and select a direction (toward Kevin's house) as positive. This helps in systematically solving the problems using known values and equations.
In the case of projectile motion or free fall, deciding on the sign convention for acceleration due to gravity, g, is important. Furthermore, drawing a sketch and recording knowns and unknowns is a strategic step in problem-solving. The selection of appropriate equations from the given options (Equation 3.15 through Equation 3.17) is then carried out based on the kinematics involved.
When solving quadratic equations in time or any other variable, it is possible to get two roots. Each root must be examined for its physical significance. In situations such as the motion of a thrown ball, a negative time would be non-physical, and thus the positive root indicating the time when the ball hits the ground after being released is chosen. Analytical techniques, as opposed to graphically solving problems, often provide more accurate results because they rely on precise calculations rather than visual approximations.