What is the shape of the path followed by a projectile?

$A$ frog hops along a straight line path from point $A$ to point $B$ in $10 \, s$ and then turns and hops to point $C$ in another $5 \, s$. Based on the provided number line,calculate the average speed and average velocity of the frog for the motion between: $(a)$ $A$ to $B$ $(b)$ $A$ to $C$ (through $B$).

Four speed-time graphs are shown below. Which graph represents 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 then accelerating.

Explain with reason,which of the following graphs can possibly represent the motion of a particle observed in nature?

$A$ motor bike running at $90 \, km \, h^{-1}$ is slowed down to $54 \, km \, h^{-1}$ by the application of brakes over a distance of $40 \, m$. If the brakes are applied with the same force,calculate $(i)$ the total time in which the bike comes to rest and $(ii)$ the total distance travelled by the bike.

The $v-t$ graph of cars $A$ and $B$ which start from the same place and move along a 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?