Study the speed$-$time graph of a body given below and answer the following questions
$(i)$ What type of motion is represented by $OA, AB$ and $BC$ ?
$(ii)$ Find positive and negative accelerations of the body.
$(iii)$ Find the distance travelled by the body from $A$ to $B$.
Under what conditions of motion, the distance covered by a body is equal to the magnitude of its displacement ?
A car travels $100\, km$ east and then $100 \,km$ south. Finally, it comes back to the starting point by the south-east route. Throughout the journey the speed is constant at $60\, km h ^{-1}$. The average velocity for the whole journey if time taken is $3.3$ hours is
The distance$-$time graph of a body is parallel to time axis. The body is
$(a)$ Derive second equation of motion $S=u t+\frac{1}{2} a t^{2}$ graphically where the symbols have their usual meanings.
$(b)$ A car accelerates uniformly from $18\, km h ^{-1}$ to $36\, km h^{-1}$ in $5$ seconds. Calculate the acceleration and the distance covered by the car in that time.