Here are the essential concepts you must grasp in order to answer the question correctly.
Position Vector
A position vector describes the location of an object in space relative to a reference point, typically the origin of a coordinate system. In this case, the position of the squirrel is given as a function of time, incorporating both linear and nonlinear components. The vector notation indicates movement in two dimensions, represented by the unit vectors î and ĵ.
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Kinematics
Kinematics is the branch of mechanics 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. In this problem, the position function of the squirrel allows us to determine its displacement over a specified time interval.
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Displacement
Displacement is a vector quantity that represents the change in position of an object. It is calculated as the final position minus the initial position. In this scenario, to find how far the squirrel is from its initial position at t = 5.00 s, we evaluate the position vector at that time and compare it to the position at t = 0.
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Displacement vs. Distance