1.2.3. A body for time $t_0$ moves with constant velocity $v_0$. Then its velocity increases linearly with time so that at time $2 t_0$ it is equal to $2 v_0$. Determine the path traveled by the body for time $t > t_0$.
Solution
At time $t_0$, the coordinate was $x_1=v_0t_0$.
On the interval from $t_0$ to $2t_0$, the acceleration is constant and equal to $a=\frac{v_0}{t_0}$.
In the case of equiaxcelerated motion with initial velocity $v_0$ from time $t_0$, the path is found as
