A ball rolls off the edge of a table. Let the time the ball leaves the table surface be t = 0. If the table is horizontal, its velocity as a function of time is given by v 1.101 9.80tj, with ✓ in m/s and t in s. The ball's displacement from the edge of the table from t = 0 to t = 0.395 s (while it is in flight), is given by - 6.⁰.³ Ar = 0.395. v dt. Use this theorem to perform the integration: [[P + Q(x)] dx = Pf dx + of f(x) dx. dx + Ç Consider the units and unit vectors to be the constants P and Q. Integrate to determine the ball's displacement (in m) from the table edge at 0.395 s. (Express your answer in vector form. Do not include units in your answer.) Ar = .4345i +.7645j Substitute the vector expression into the integral, and apply the theorem to separate the vector components into two integrals, which you can solve individually. Be sure to keep track of your signs. m

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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.