What does the slope of the velocity$-$time graph represent?

Give one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.

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

Define 'average speed'. An object moves with a uniform speed of $10\, m s^{-1}$ for $5\, s$ and then with a uniform speed of $5\, m s^{-1}$ for $10\, s$. Find its average speed.

An object is moving along a straight line with uniform acceleration. The following table gives the velocity of the object at various instants of time.

Time $(s)$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
Velocity $(m s^{-1})$	$2$	$4$	$6$	$8$	$10$	$12$	$14$

Plot the graph.
From the graph:
$(i)$ Find the velocity of the object at the end of $2.5 \ s$.
$(ii)$ Calculate the acceleration.
$(iii)$ Calculate the distance covered in the last $4 \ s$.

Prove that if a body is thrown vertically upward,the time of ascent is equal to the time of descent.