Define distance and displacement. A body covers one complete revolution around a circular park of circumference $176 \,m$ in $4$ minutes. Find the displacement of the body after $6$ minutes.
Distance : It is defined as the actual path followed by a body.
Displacement : : It is defined as the shortest distance between two points.
Given $2 \pi r=176\, m$
Or $\quad r=28 \,m$
After $6$ minutes, the body will be diametrically opposite to its initial position, therefore,
Total displacement after $6$ min $=2 r=2 \times 28$
$=56\, m$
The velocity-time graph of cars $A$ and $B$ which start from the same place and move along a straight road in the same direction is shown below
Calculate :
$(a)$ the acceleration of car $B$ between $2 \,s$ and $4\, s$.
$(b)$ the time at which both the cars have the same velocity.
$(c)$ the distance travelled by the two cars $A$ and $B$ in $8\, s$
$(d)$ Which of the two cars is ahead after $8\, s$ and by how much ?
Give one similarity and one dissimilarity between the two graphs
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 ?
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.
Write true or false for the following statements
Velocity and speed are measured in different units.