In your everyday life, you come across a range of motions in which

$(a)$ acceleration is in the direction of motion.

$(b)$ acceleration is against the direction of motion.

$(c)$ acceleration is uniform.

$(d)$ acceleration is non$-$uniform.

Can you identify one example each of the above type of motion ?

Name the force which is responsible for change in position or state of an object.

From the given $v -t$ graph (Fig.), it can be inferred that the object is

Derive following equations for a uniformly accelerated motion

$(i)$ $v=u+a t$

$(ii)$ $S=u t+1 / 2 a t^{2}$

$(iii)$ $v^{2}-u^{2}=2 a S,$ where symbols have their usual meaning.

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.