What is the nature of motion of a particle depicted by following displacement$-$time graphs ?
$(i)$ It represents a particle at rest.
$(ii)$ It represents a particle moving with uniform velocity.
$(iii)$ It represents a particle first moving with uniform velocity and then suddenly coming to a rest.
$(iv)$ It represents a particle first moving with uniform velocity and then returning to the starting point with the same velocity.
Which of the following figures (Fig.) represents uniform motion of a moving object correctly ?
The velocity$-$time graph of an ascending passenger lift is as in the figure shown below
$(i)$ Identify the kind of motion of lift represented by lines $OA$ and $BC$.
$(ii)$ Calculate the acceleration of the lift
$(a)$ During the first two seconds.
$(b)$ Between the $3^ {r d}$ and $10^ {t h}$ second.
$(c)$ During the last two seconds.
Give examples to distinguish
$(i)$ Distance and displacement.
$(ii)$ Speed and velocity.
$(iii)$ Acceleration and retardation.
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 ?
A racing car has an acceleration of $4\, m s ^{-2} .$ What distance will it cover in $20$ seconds after start ?