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 ?
$(a)$ Distance.
$(b)$ Motion of satellite or motion along a circular path.
$(c)$ When distance and displacement are equal.
$(d)$ The motion of a freely falling body.
$(e)$ Distance $=2 \pi r,$ Displacement $=2 r$.
What is the average velocity of a particle when it returns to the starting point ? Can its average speed be zero ?
What is meant by uniform motion ? Can you think of an example of a body in uniforim motion ?
The numerical ratio of displacement to distance for a moving object is
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.
A body is moving, with a velocity of $10 \,m s ^{-1}$. If the motion is uniform, what will be its velocity after $10 \,s$ ?