Kinematics Question 365

Question: A particle moves a distance x in time t according to equation x=(t+5)−1 . The acceleration of particle is proportional to

Options:

A) (velocity)3/2

B) (distance)2

C) (distance)−2

D) (velocity)2/3

Show Answer

Answer:

Correct Answer: A

Solution:

x=1t+5 ∴v=dxdt=−1(t+5)2
∴a=d2xdt2=2(t+5)3=2x3

Now 1(t+5)∝v12
∴1(t+5)3∝v32∝a

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