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The acceleration - velocity graph of a p...

The acceleration - velocity graph of a particle moving in a straight line is shown in figure. Then the slope of the velocity- displacement graph

A

increases linearly

B

decreases linearly

C

is constant

D

increases parabolically

Text Solution

Verified by Experts

The correct Answer is:
C
c. Acceleration- velocity equation from the graph is
a = kv, where k is the slope of given line.
This can also be written as
`v(dv)/(ds) = kv rArr (dv)/(ds) = k`
i.e. slope of velocity - displacement graph is same as slope of
acceleration- velocity graph which is constant.
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