If the acceleration of the particle is constant in magnitude but not in direction, what type of path does the particle follow ?

Account for the following

$(a)$ Name the quantity which is measured by the area occupied below the velocity$-$time graph.

$(b)$ An object is moving in a certain direction with acceleration in the perpendicular directions.

$(c)$ Under what condition is the magnitude of average velocity of an object equal to its average speed ?

$(d)$ An example of uniformly accelerated motion.

$(e)$ A body is moving along a circular path of radius

$(r)$. What will be the distance and displacement of the body when it completes half revolution ?

An object starts a linear motion with velocity $'u^{\prime}$ and with uniform acceleration ' $a^{\prime}$, it acquires a velocity $'v^{\prime}$ in timet

$(a)$ Draw its velocity$-$time graph.

$(b)$ Obtain Ist equation of motion, $v=u+a t,$ for velocity $-$ time relation by using velocity$-$time graph.

$(c)$ A body moving with a velocity of $2\, m s ^{-1}$ acquires a velocity of $10 \,m s ^{-1}$ in $5\, s$. Find its acceleration.

The displacement $-$ time graph of a body is parallel to time axis. What will you infer about the velocity of the body ?

Study the speed$-$time graph of a car below and answer the following questions

$(a)$ What type of motion is represented by $OA$ ?

$(b)$ Find acceleration from $B$ to $C$.

$(c)$ Calculate the distance covered by the body from $A$ to $B$.

Area under velocity$-$time graph is equal to the