Question

A particle moves rectilinearly possessing a parabolic s-t graph. Find the average velocity of the particle over a time interval from `t = 1/2 s to t = 1.5 s.`

Answer 1

As s-t graph is a parabola, it can be given as `s = k_1t - k_2t^2`, where `k_1 and k_2` are constants. Since it is symmetrical t = 1 s, we have equal displacements at `t = 1//2 s and t = 3//2 s ` that tells us that line AB joining two coordinates is parallel to the t-axis. hence, slope of AB is zero. This implies that the average velocity during the time interval `Deltat = 1` s is zero.