question_answer

Position of a particle is \[s={{t}^{3}}-6{{t}^{2}}+9t\,m.\] Distance travelled by the particle in first 5 s is

A) 20 m

B) 24 m

C) 28 m

D) 23 m

Correct Answer: C

Solution :

Position of a particle is

\[s=3{{t}^{2}}-12t+9=3\left( t-1 \right)\left( t-3 \right)\]

So, path of particle is

Total distance covered

\[s=4+4+20=28m\]