The speed$-$time graph of a body is a straiaht line parallel to time axis. The body has
$(a)$ 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 ?
Give one example for each of the type of motion when
$(i)$ acceleration is in the direction of motion.
$(ii)$ acceleration is against the direction of motion.
$(iii)$ acceleration is uniform.
A circular cycle track has a circumference of $314\, m$ with $A B$ as one of its diameter. $A$ cyclist travels from $A$ to $B$ along the circular path with a velocity of constant magnitude $15.7\, m s ^{-1}$. Find the
$(a)$ distance moved by the cyclist.
$(b)$ displacement of the cyclist, if $A B$ represents north$-$south direction.
$(c)$ the average velocity of the cyclist.
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 $B$.