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The velocity of a particle moving in a straight line is directly proportional to 3/4th power of time elapsed. How does its displacement and acceleration depends on time?

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a
a∝t-1/4, s∝t7/4
b
a∝t-2/4, s∝t7/4
c
a∝t-1/4, s∝t5/4
d
a∝t-3/4, s∝t7/4

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detailed solution

Correct option is A

v=t34 a=dvdt⇒a∝t-1/4 s=∫vdt⇒s∝t7/4


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