An object moving in a straight line travels s(t) kilometers in t hours, where: s(t) = 8t + 2t² Part 1 - Finding Velocity and Acceleration 1. Find the (instantaneous) velocity function v(t): = 2. Find the acceleration function a(t) = Part 2 - Evaluating Position, Velocity, and Acceleration • Include units in your answers for this part (use km to denote kilometers and hr to denote hours). . 1. Find the displacement at time t = 4: 2. Find the velocity at time t = 4: 3. Find the acceleration at time t = 4: Part 3 - Investigating Velocity Include units in your answers for this part (use km to denote kilometers and hr to denote hours). 1. Find the time when u(t) = 24:

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Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.