### Problem 1.4

#### Task:

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.