If a particle moving along a line follows the law s=√1+
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If a particle moving along a line follows the law s=√1+t then the acceleration is proportional to
A.
Square of the velocity
B.
Cube of the displacement
C.
Cube of the velocity
D.
Square of the displacement
Please scroll down to see the correct answer and solution guide.
Right Answer is: C
SOLUTION
We have, s=√1+t
⇒dsdt=12√1+t⇒dsdt=12s⇒d2sdt2=−12s2dsdt=−12s2×12s=−14s3⇒d2sdt2=−2×(12s)3=−(dsdt)3.
Hence (c) is the correct answer.