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.