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If $S=f(t)$ is the displacement of a particle moving in a straight line, then acceleration is
A$\dfrac{dS}{dt}$
B$\dfrac{dt}{dS}$
C$\dfrac{d^2S}{dt^2}$
D$S\dfrac{dS}{dt}$
Answer & Solution
Correct answer: C. $\dfrac{d^2S}{dt^2}$
Velocity is $v=\dfrac{dS}{dt}$. Acceleration is the rate of change of velocity, so $a=\dfrac{dv}{dt}=\dfrac{d^2S}{dt^2}$.
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