Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity?

Solution

Let acceleration be a.
Given that a=-C
We know that, a=vdvdx=-C
vdv=-Cdx

Integrating the above equation,
v22=-Cx+k.

Thus, the velocity-distance graph is

The distance cover by the object is x= -v22C+kC.

Thus, with the increase in distance, velocity decreases.

Now, a=-C=dvdt

dv=-Cdtv=-Ct+u , straight line

Asked in: JEE Main 2017 (08 Apr Online)

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