# A particle moves in a straight line so that its displacement 𝑥 metre at time 𝑡 second is given by 𝑡 = √𝑥2 − 1 Its acceleration in ms −2 at time 𝑡 second is

Question : A particle moves in a straight line so that its displacement 𝑥 metre at time 𝑡 second is given by 𝑡 = √𝑥2 − 1 Its acceleration in ms −2 at time 𝑡 second is

(A) $\dfrac{1}{x^{3}}$

(B) $\dfrac{t^{2}}{x^{3}}$

(C) $\dfrac{1}{x}-\dfrac{t^{2}}{x^{3}}$

(D) $\dfrac{t^{2}}{x^{3}}-\dfrac{1}{x^{2}}$