How can you following ? (i) Velocity from a displacement - time graph. (ii) Acceleration from veloci

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7. MOTION

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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.

Option A

Option B

Option C

Option D

Solution

$(i)$ 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.

Standard 9

Science

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