The acceleration of a particle, starting its motion from rest, is function of velocity as per the equation, a = 2 – 3v, where v is the velocity. The velocity of the particle after a very long time will be
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Answer:
a=2(t−1)
=2t−2
dt
dv
=2t−2
dv=(2t−2)dt
integrating both side we get,
∫dv=∫(2t−2)dt
v=t
2
−2t+c
=(5)
2
−2×5
=25−10
=15m/s
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