Account for the following
$(a)$ What is the shape of the path of a body when it is in uniform motion ?
$(b)$ Give one example of non$-$uniform motion.
$(c)$ Two cars $A$ and $B$ have their $x-t$ graph as shown in figure. Which has greater velocity ?
$(d)$ What is the quantity which is measured by the area occupied below the velocity$-$time graph ?
$(e)$ A body is moving with a velocity of $10\, m s ^{-1}$. If the motion is uniform, what will be the velocity after $10\, s$ ?
$(a)$ A straight line.
$(b)$ Bus moving on a hilly road.
$(c)$ More the slope of the $x -t$ graph, more is the velocity. The slope of $A$ is more than that of $B.$Therefore, velocity of $A$ is more.
$(d)$ Magnitude of the displacement of a body.
$(e)$ In uniform motion, there is no change in velocity, hence, velocity will remain $10 m s ^{-1}$ even after $10 s$
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.
Can the displacement of a particle be zero when the distance travelled is not zero ?
A body is thrown vertically upward with velocity $u$, the greatest height $h$ to which it will rise is,
An object is moving with uniform speed in a circle of radius $7\, m .$ Calculate the distance and displacement when it completes half the circle. What type does the object possess ?
A car starts from rest and moves along the $x-$ axis with constant acceleration $5\, ms^{-2}$ for $8\,\sec $. If it then continues with constant velocity, what distance will the car cover in $12\,\sec $ since it started from the rest ?