24. The distance travelled by a particle starting from rest and moving with an acceleration 4/3 ms−2 , in the third second is:

24. The distance travelled by a particle starting from rest and moving with an acceleration 4/3 ms^−2 , in the third second is:

(a) 6 m

(b) 4 m

(c) \(\frac{10}{3}\) m

(d) \(\frac{19}{3}\) m

Answer :  (c) \(\frac{10}{3}\) m

\( s_{third second} = s_3 - s_2 \)

= \( \frac{1}{2} \) a\(t^2\) - \( \frac{1}{2} \) a\(t^2\)

= \( \frac{1}{2} \)\( \frac{4}{3} \)(\(3^2\) -  \(2^2\))

= \( \frac{10}{3} \) m