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The distance travelled by a particle starting from rest and moving with an acceleration  , in the third second is: [2008]
  • a)
    6 m
  • b)
    4 m
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?
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The distance travelled by a particle starting from rest and moving wit...
Distance travelled in the nth second is given by 
put u = 0,  
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To find the distance traveled by a particle starting from rest and moving with an acceleration of 4/3 m/s^2 in the third second, we can use the equations of motion.

The equation of motion for distance traveled is given by:

S = ut + 1/2at^2

Where S is the distance traveled, u is the initial velocity (which is 0 in this case), a is the acceleration, and t is the time.

In this case, the acceleration is given as 4/3 m/s^2. We need to find the distance traveled in the third second, so we substitute t = 3 seconds into the equation.

S = 0 + 1/2 * (4/3) * (3)^2
S = 0 + 1/2 * (4/3) * 9
S = 0 + 2/3 * 9
S = 0 + 18/3
S = 6 meters

Therefore, the distance traveled by the particle in the third second is 6 meters.

So, the correct answer is option C) 10/3 meters.
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