Out of the three speed$-$time graphs shown below

Identify the graph for the following cases.

$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?

$(ii)$ A body decelerating to a constant speed and accelerating.

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 ?

If the displacement of a body is proportional to the square of the time elapsed, what type of motion does the body possess ?

The area under the velocity$-$time graph gives the value of

Name the physical quantities denoted by

$(i)$ The slope of the distance$-$time graph.

$(ii)$ The area under velocity$-$time graph.

$(iii)$ The slope of velocity$-$time graph.