The accompanying table shows time-to-speed data for a particular car accelerating from rest to 135 mph. How far had the car traveled by the time it reached this speed? (Use trapezoids to estimate the area under the velocity curve. Notice that intervals vary in length.) Speed change Zero to 35 mph 45 mph 55 mph 65 mph 75 mph 85 mph 95 mph 105 mph 115 mph 125 mph 135 mph Time (sec) 2.2 3.6 5.3 7.1 9.4 12.2 15.1 18.8 23.8 29.8 41.1 The car will travel 5929.000 ft by the time it reaches this speed. (Round the final answer to three decimal places as needed. Round all intermediate values to five decimal places as needed.)

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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.