$(a)$ Derive graphically the equation for velocity$-$time relation.

$(b)$ Name the device used to measure distance travelled by a vehicle.

$(c)$ Can displacement of a moving object be zero ? Give reason.

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$(b)$ Odometer.

$(c)$ Yes, if it returns to its original position.

Similar Questions

The driver of a train $A$ travelling at a speed of $54\, km h^{-1}$ applies brakes and retards the train uniformly The train stops in $5\, s$. Another train $B$ is travelling on the parallel track with a speed of $36\, km h ^{-1}$. This driver also applies the brakes and the train retards uniformly. The train $B$ stops in $10\, s$. Plot speed time graph for both the trains on the same paper. Also, calculate the distance travelled by each train after the brakes were applied.

A truck is moving on a straight road with uniform acceleration. The following table gives the speed of the truck at various instants of time.

Speed $\left(m s^{-1}\right)$ $5$ $10$ $15$ $20$ $25$ $30$
Time $(s)$ $0$ $10$ $20$ $30$ $40$ $50$

Draw the speed-time graph by choosing a convenient scale. Determine from it

$(i)$ the acceleration of truck

$(ii)$ the distance travelled by the truck in $50$ seconds.

The slope of the line on a position-time graph reveals information about an object's velocity. What conclusion can you draw regarding the motion of an object, if the graph is a

$(i)$ Horizontal line.

$(ii)$ Straight diagonal line.

$(iii)$ Curved line.

$(a)$ When will you say a body is in

$(i)$ uniform motion $(ii)$ non$-$uniform motion ?

$(b)$ Show the path of an object when it is in uniform motion with the help of a graph.

A body is moving along a circular path of radius $R$. Find the displacement of the body when it completes half a revolution.