The speed-time graphs of two cars are represented by $P$ and $Q$ as shown below
$(a)$ Find the difference in the distance travelled by the two cars (in $m$ ) after $4\, s$.
$(b)$ Do they ever move with the same speed ? If so when ?
$(c)$ What type of motion car $P$ and $Q$ are undergoing ?
$(a)$ Distance covered by car $P$ in $4 s =12\, m$ (Area under $v-t$ graph $)$
Distance covered by car $Q$ in $4\, s=12\, m$ (Area under $v-t$ graph $)$
So difference $=0$
$(b)$ Yes, at $t=2 s$
$(c)$ Car $P$ : uniform acceleration and car $Q$ : uniform motion
Name a physical quantity that essentially changes as a body moves.
The velocity$-$time graph of a body has a negative slope. The body is undergoing
The velocity$-$time graph of a truck is plotted below
$(a)$ Calculate the magnitude of displacement of the truck in $15$ seconds.
$(b)$ During which part of the journey was the truck decelerating ?
$(c)$ Calculate the magnitude of average velocity of the truck.
Can the distance travelled by a particle be zero when displacement is not zero ?
In a long distance race, the athletes were expected to take four rounds of the track such that the line of finish was same as the line of start. Suppose the length of the track was $200\, m$.
$(a)$ What is the total distance to be covered by the athletes ?
$(b)$ What is the displacement of the athletes when they touch the finish line ?
$(c)$ Is the motion of the athletes uniform or nonuniform ?
$(d)$ Is the displacement of an athlete and the distance moved by him at the end of the race equal ?