Question

The acceleration of a particle 'a' is related to its velocity 'V' by a = -2v.
What is the nature of velocity-time curve?
(a) Linearly increasing
(b) Exponentially decreasing
(c) Exponentially increasing
(d) Linearly decreasing
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Answer 1

a=dv/dt

dv/v=-2dt

lnv=-2t

v= e^-2t

exponentially decreasing

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