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}}

Answer : optiion (A)

Solution :

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
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