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.
$(i)$ By finding the slope of graph, i.e.,
$v=\frac{\text { change in displacement }}{\text { time }}$
$(ii)$ By finding the slope of graph, i.e.
$v=\frac{\text { change in velocity }}{\text { time }}$
$(iii)$ By finding area under the graph line, i.e., $S=\Delta v \times \Delta t=$ change in velocity $\times$ change in time.
$(iv)$ By finding area under the graph line, i.e., $S=\Delta v \times \Delta t=$ change in velocity $\times$ change in time.
What kind of motion of a body is represented by the graphs given below ?
Four speed$-$time graphs are shown below
Which graph represents the following case ?
$(i)$ A ball thrown vertically upwards and returning to the hand of the thrower ?
$(ii)$ A body decelerating to a constant speed and then accelerating.
$(a)$ A car moving with uniform velocity $'u^{\prime}$ and uniform acceleration $'a^{\prime}$ covers a distance $'S^{\prime}$ in time $'t^{\prime}$. Draw its velocity $-$ time graph and derive an expression relating all the given physical quantities.
$(b)$ A boy revolves a stone tied to a string $0.7 \,m$ long. Find the distance and displacement covered by the stone in completing two revolutions from starting point.
The position$-$time graph for the motion of a car is given below
$(i)$ How far the car tavelled in the time interval $2$ to $6 s ?$
$(ii)$ During which interval of time its speed was more?
$(iii)$ Calculate the average speed of the car.
What does the slope of velocity$-$time graph represent ?