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AP EAMCET · PHYSICS · Motion In One Dimension

Acceleration of a body whose displacement follows the equation \(3 s=9 t+5 t^2\) is in \(\mathrm{ms}^{-2}\)

  1. A \(\frac{5}{3}\)
  2. B \(\frac{14}{3}\)
  3. C \(\frac{10}{3}\)
  4. D \(\frac{19}{3}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{10}{3}\)

Step-by-step Solution

Detailed explanation

Given, displacement \(3 s=9 t+5 t^2\)...(i) From second equation of motion, we get \(s=u t+\frac{1}{2} a t^2\)...(ii) Rearranging Eq. (i), we get \(s=3 t+\frac{5}{3} t^2\)...(iii) By comparing Eq. (ii) and Eq. (iii), we get…