There is an argument about uniform acceleration between $Mr. X$ and $Mr. Y$. $Mr. X$ says,"acceleration means that the farther you go, the faster you go". $Mr. Y$ says,"acceleration means that the longer you go, the faster you go". Whose statement is correct?

State whether the following statement is true or false:
Kinematics deals with the motion of non-living objects without taking into account the cause of their motion.

$(a)$ Derive the second equation of motion $S = ut + \frac{1}{2}at^2$ graphically,where the symbols have their usual meanings.
$(b)$ $A$ car accelerates uniformly from $18 \text{ km h}^{-1}$ to $36 \text{ km h}^{-1}$ in $5 \text{ s}$. Calculate the acceleration and the distance covered by the car in that time.

The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below.
Calculate:
$(a)$ The acceleration of car $B$ between $2 \, s$ and $4 \, s$.
$(b)$ The time at which both the cars have the same velocity.
$(c)$ The distance travelled by the two cars $A$ and $B$ in $8 \, s$.
$(d)$ Which of the two cars is ahead after $8 \, s$ and by how much?

An artificial satellite is moving in a circular orbit of radius nearly $42,250 \, km$. Calculate its linear velocity, if it takes $24 \, \text{hours}$ to revolve around the Earth. (in $ km/s$)

$A$ car manufacturer advertises that the brakes are so perfect that the car stops instantaneously. Comment.