Write true or false for the following statements

A motion is said to be uniform, if $x \propto t^{2}$

The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along straight road in the same direction, is shown. Calculate

$(i)$ the acceleration of car $A$ between $0$ and $8\, s$.

$(ii)$ the acceleration of car $B$ between $2\, s$ and $4\, s$.

$(iii)$ the points of time at which both the cars have the same velocity.

$(iv)$ which of the two cars is ahead after $8\, s$ and by how much ?

$(a)$ When will you say a body is in

$(i)$ uniform motion $(ii)$ non$-$uniform motion ?

$(b)$ Show the path of an object when it is in uniform motion with the help of a graph.

What can you conclude about the motion of a body depicted by the velocity$-$time graphs $(i),(i i)$ and $(i i i)$ given below

Draw the distance$-$time graph for the following situations

$(a)$ When a body is stationary.

$(b)$ When a body is moving with a uniform speed.

$(c)$ When a body is moving with non$-$uniform speed.

$(a)$ What is acceleration ? Write its $SI$ unit.

$(b)$ Draw velocity-time graph, when an object has

$(i)$ uniformly accelerated velocity

$(ii)$ uniformly retarded velocity.