Taking, $s=u t+\frac{1}{2} a t^2$, from point $B$ onwards we have,$-\frac{1}{2} a t_0^2=\left(a t_0\right) t-\frac{1}{2} a t^2$
$\therefore \quad t^2-2 t_0 t-t_0^2=0$
$\therefore \quad t=\frac{2 t_0 \pm \sqrt{4 t_0^2+4 t_0^2}}{2}=\left(t_0+\sqrt{2} t_0\right)$
$\therefore \quad \text { Total time }=t_{A B}+t=(2+\sqrt{2}) t_0$
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Statement $I:$ A truck and a car moving with same kinetic energy are brought to rest by applying brakes which provide equal retarding forces. Both come to rest in equal distance.
Statement $II:$ A car moving towards east takes a turn and moves towards north, the speed remains unchanged. The acceleration of the car is zero.
In the light of given statements, choose the most appropriate answer from the options given below.
