A hiker rides $700\, m$ north, $300$ meast, $400 \,m$ north $600\, m$ west, $1200\, m$ south, $300\, m$ east and finally $100\, m$ north. Draw the path of motion of the biker. What distance did he cover ? What was his displacement ?
$(ii)$ Distance travelled by the biker
$= OA + AB + BC + CD + DE+ EF + FO$
$=700 m +300 m +400 m+600 m +1200 m +300 m +100 m$
$=3600 \,m$
$(iii)$ Displacement of biker $=0$ (zero).
What is meant by free fall ? Two bodies, one of mass $1\,g$ and other of mass $1\, kg$ are dropped from the same height in vacuum. Compare the two time intervals in which the two bodies will hit the ground.
If the average velocity of a body is equal to mean of its initial yelocity and final velocity, then the acceleration of the body is
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 $B$.
A body moves with a velocity of $2\, m s ^{-1}$ for $5\, s$, then its velocity increases uniformly to $10\, m s ^{-1}$ in next $5\, s.$ Thereafter, its velocity begins to decrease at a uniform rate until it comes to rest after $5\, s$.
$(i)$ Plot a velocity-time graph for the motion of the body.
$(ii)$ From the graph, find the total distance covered by the body after $2\, s$ and $12\, s$.
Write true or false for the following statements
The motion in animals is called locomotion. Mechanics deals with the motion of non$-$living objects.