Problem 1.4

A point moves rectilinearly in one direction. Fig. 1.1 shows the distance \(s\) traversed by the point as a function of the time \(t\). Using the plot find: (a) the average velocity of the point during the time of motion; (b) the maximum velocity; (c) the time moment \(t_{0}\) at which the instantaneous velocity is equal to the mean velocity averaged over the first \(t_{0}\) seconds.