A frog hops along a straight line path from point $'A^{\prime}$ to point ${ }^{\prime} B ^{\prime}$ in $10\, s$ and then turns and hops to point ${ }^{\prime} C^{\prime}$ in another $5\, s$. Calculate the average speed and average velocity of the frog for the motion between $(a)(A)$ to $(B)(b)(A)$ to $(C)($ through $B)$
For $A$ to $B$, we have
Average speed $=$ Average velocity
$=\frac{(7-(-2))}{10}=0.9 m s ^{-1}$
For $A$ to $C$ through $B$, we have Average speed $=\frac{(7-(-2)+3-(-2))}{15}=\frac{14}{15} m s ^{-1}$
Average velocity $=\frac{(7-(3))}{15}=\frac{4}{15} m s ^{-1}$
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.
How can you find the following ?
$(i)$ Velocity from a displacement$-$time graph.
$(ii)$ Acceleration from velocity$-$time graph.
$(iii)$ Displacement from velocity$-$time graph.
$(iv)$ Velocity from acceleration$-$time graph.
The displacement of a body is proportional to the cube of the time lapsed. The magnitude of the acceleration is
In which of the following cases of motions, the distance moved and the magnitude of displacement are equal ?
Write true or false for the following statements
A motion is said to be uniform, if $x \propto t^{2}$