Chapter 2, Problem 44P

A glider of length ℓ moves through a stationary photogate on an air track. A photogate (Fig. P2.44) is a device that measures the time interval Δt_d during which the glider blocks a beam of infrared light passing across the photogate. The ratio v_d = ℓ/Δt_d is the average velocity of the glider over this part of its motion. Suppose the glider moves with constant acceleration. (a) Argue for or against the idea that v_d is equal to the instantaneous velocity of the glider when it is halfway through the photogate in space. (b) Argue for or against the idea that v_d is equal to the instantaneous velocity of the glider when it is halfway through the photogate in time.