Starting from rest at the top of an inclined plane a body reaches the bottom of the inclined plane in $4$ second. In what time does the body cover one$-$fourth the distance starting from rest at the top ?

$(a)$ Derive graphically the equation for velocity$-$time relation.

$(b)$ Name the device used to measure distance travelled by a vehicle.

$(c)$ Can displacement of a moving object be zero ? Give reason.

Draw a velocity versus time graph for a body which starts to move with velocity $'u^{\prime}$ under a constant acceleration $'a'$ for time $t$. Using this graph derive an expression for distance covered $'S'$ in time $'t^{\prime}$

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 ?

The speed-time graphs of two cars are represented by $P$ and $Q$ as shown below

$(a)$ Find the difference in the distance travelled by the two cars (in $m$ ) after $4\, s$.

$(b)$ Do they ever move with the same speed ? If so when ?

$(c)$ What type of motion car $P$ and $Q$ are undergoing ?

What conclusion can you draw from the displacement$-$time graph of a body shown below ?