A glider on an air track carries a flag of length l through a stationary photogate, which measures the time interval Δtd during which the flag blocks a beam of infrared light passing across the photogate. The ratio vd = l/Δtd is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Is vd necessarily equal to the instantaneous velocity of the glider when it is halfway through the photogate in space? Explain. (b) Is vd equal to the instantaneous velocity of the glider when it is halfway through the photogate in time? Explain.
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 glider on an air track carries a flag of length l through a stationary photogate, which measures the time interval Δtd during which the flag blocks a beam of infrared light passing across the photogate. The ratio vd = l/Δtd is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Is vd necessarily equal to the instantaneous velocity of the glider when it is halfway through the photogate in space? Explain. (b) Is vd equal to the instantaneous velocity of the glider when it is halfway through the photogate in time? Explain.
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