Question

Show that the magnitudes of the trains accelerations after 10s and after 35s are in the ratio 2:1

Answer 1

If the acceleration changes with time, the motion is not uniformly accelerated and can be defined by a function that changes with time. Thus, we need initial function that determines how acceleration changes with time. If the ratio is 2:1, then we can write that

$$\frac{a(10)}{a(35)}=\frac{2}{1}.$$