Kinematics Question 376

Question: A particle is moving along a straight line path according to the relation s2=at2+2bt+c s represents the distance travelled in t seconds and a, b, c are constants. Then the acceleration of the particle varies as

Options:

A) s3

B) s3/2

C) s2/3

D) s2

Show Answer

Answer:

Correct Answer: A

Solution:

s2=at2+2bt+c  2sdsdt=2at+2b

or dsdt=at+bs, again differrentiating

d2sdt2=as2(at+b)2s3 a=d2sdt2s3.



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