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Q.

Depict the shown v-x graph in a-x graph

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a

b

c

d

answer is A.

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Detailed Solution

From the v-x graph  slope of the graph is dvdx=-v0x0=-k and velocity changes with distance as v=-kx+v0 a=vdvdx=-kx+v0-k a=k2x-kv0 having  a positive slope but negative y intercept hence option 1 is correct
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Depict the shown v-x graph in a-x graph