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7. MOTION
medium
Study the given graph and answer the following questions
$(i)$ Which part of the graph shows accelerated motion ?
$(ii)$ Which part of the graph shows retarded motion ?
$(iii)$ Calculate the distance travelled by the body in first $4$ seconds of journey graphically.

Option A
Option B
Option C
Option D
Solution
$(i)$ The part $AB$ of the graph shows acceleration.
$(ii)$ The part $CD$ of the graph shows retardation.
$(iii)$ Distance travelled is equal to the area under the $v-t$ graph.
Thus, $S=$ Area of $\Delta AEB =1 / 2 \times AE \times EB$
$=1 / 2 \times 4 \times 4=8 m$
Standard 9
Science