a particle moves a distance x in time t according to equation x= (t+5)^-1. the acceleration of particle is proportuonal to
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distance x=(t+5)−1
velocity v=dxdt=−(t+5)−2
acceleration a=dvdt=2(t+5)−3
Therefore v3/2=−(t+5)−3
Therefore a=−2v3/2
aαv3/2
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