State whether the following statements are true or false:
$1$. The motion in animals is called locomotion.
$2$. Mechanics deals with the motion of non-living objects.

$A$ car starts from rest and moves along the $x-$ axis with constant acceleration $5\, ms^{-2}$ for $8\, s$. If it then continues with constant velocity,what distance will the car cover in $12\, s$ since it started from the rest (in $m$)?

The driver of a train $A$ travelling at a speed of $54\, km\, h^{-1}$ applies brakes and retards the train uniformly. The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km\, h^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot the speed-time graph for both the trains on the same paper. Also,calculate the distance travelled by each train after the brakes were applied.

Give examples to distinguish:
$(i)$ Distance and displacement.
$(ii)$ Speed and velocity.
$(iii)$ Acceleration and retardation.

$A$ circular cycle track has a circumference of $314 \ m$ with $AB$ as one of its diameters. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7 \ m s^{-1}$. Find the:
$(a)$ distance moved by the cyclist.
$(b)$ displacement of the cyclist,if $AB$ represents the north-south direction.
$(c)$ the average velocity of the cyclist.

Which of the following statements is not correct for an object moving along a straight path in an accelerated motion?