A Porsche challenges a Honda to a 400 m race. Because the Porsche's acceleration of 3.5m/s23.5 \mathrm { m } / \mathrm { s } ^ { 2 }3.5m/s2 is larger than the Honda's 3.0m/s23.0 \mathrm { m } / \mathrm { s } ^ { 2 }3.0m/s2, the Honda gets a 100-m head start-it is only 300 m from the finish line. Assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance. Who wins, and by how much time?
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.
A Porsche challenges a Honda to a 400 m race. Because the Porsche's acceleration of 3.5m/s23.5 \mathrm { m } / \mathrm { s } ^ { 2 }3.5m/s2 is larger than the Honda's 3.0m/s23.0 \mathrm { m } / \mathrm { s } ^ { 2 }3.0m/s2, the Honda gets a 100-m head start-it is only 300 m from the finish line. Assume, somewhat unrealistically, that both cars can maintain these accelerations the entire distance. Who wins, and by how much time?
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