Distinguish between terms distance and displacement.
Distance is the length of the actual path traversed between its initial and final positions. It is a scalar quantity and can never be negative. Displacement is the shortest path between the initial and the final positions of the particle. It is a vector quantity and can be positive, negative or zero
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 ?
$(a)$ Draw velocity-time graph for the following cases
$(i)$ When the object is at rest.
$(ii)$ When the object is thrown vertically upwards.
$(b)$ A motorcyclist riding motorcycle $A$ who is travelling at $36\, km h^{-1}$ applies the brakes and stops the motorcycle in $10\, s$. Another motorcyclist of motorcycle $B$ who is travelling at $18\, km h^{-1}$ applies the brakes and stops themotorcycle in $20\, s$. Plot speed-time graph for the two motorcycles. Which of the two motorcycles travelled farther before it come to a stop ?
The displacement $-$ time graph of a body is parallel to time axis. What will you infer about the velocity of the body ?
There are 5 houses on a street, $A, B, C, D$ and $E$. For all cases, assume that positions to the right are positive.
$(i)$ Draw a frame of reference with house $A$ as the origin and the positions of houses $B, C, D$ and $E$.
$(ii)$ You live in house $C.$ What is your position relative to house $E$ ?
$(iii)$ What are the positions of houses $A$ and $D$, if house $B$ is taken as the reference point ?
The distance$-$time graph of a body is a straight line inclined to time axis. The body is in