Two graphs for the motion of objects moving along a straight line are shown. State how the speed is changing with time in both cases.

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(N/A) Case $1$: The graph is a horizontal straight line parallel to the time axis. This indicates that the speed of the object remains constant at $20 \text{ m s}^{-1}$ over time.
Case $2$: The graph shows that the speed is changing continuously with time. The speed increases from $0$ to $20 \text{ m s}^{-1}$ between $0$ and $2 \text{ s}$,then decreases to $10 \text{ m s}^{-1}$ at $3.5 \text{ s}$,and finally increases again. Thus,the object is moving with variable speed.

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Explain the following types of motion with one example for each:
$(i)$ Acceleration is positive
$(ii)$ Acceleration is negative
$(iii)$ Acceleration is zero.

Explain the differences between the two graphs.

$(a)$ What is acceleration? Write its $SI$ unit.
$(b)$ Draw velocity-time graphs for an object having:
$(i)$ Uniformly accelerated velocity.
$(ii)$ Uniformly retarded velocity.

The area under a $v-t$ graph represents a physical quantity which has the unit:

What can you conclude about the motion of a body depicted by the velocity-time graphs $(i)$,$(ii)$ and $(iii)$ given below?

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