Dear Sangeetha

You should not be confused with the inequalities. you should be able to physically interprete the things

Situation 1

V<0, a>0

suppose a particle is moving in the negative x direction hence at that instant say t₁ v<0

suppose a force acts on it in the positive direction of x axis then acceleration will also be towrds +ve x axis. hence its magnitude of velocity in -ve direction of x axis will start decresing till the velocity becomes 0(say at time t₂) then it will increase in magnitude and direction will become +ve x axis and V>0

hence velocity is-ve in the time interval t₁ to t₂.

and -ve and +ve  just show the direction and nothing else.

if Acceleration is in the direction of velocity then it will increase the velocity otherwise it will reduce the velocity,

Similarly you can think for the second case

All the best.                                                           

AKASH GOYAL

AskiitiansExpert-IITD

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