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

Asked in NEET 2008 · Distance in the nth second

• (1) (10)/3 m
• (2) (19)/3 m
• (3) 6 m
• (4) 4 m

Step-by-step solution

Why the other options are wrong

• (2) Comes from using 2n+1=7 rather than 2n-1=5, and then mixing the thirds; the third second uses n=3, giving 5.
• (3) Comes from using the total distance in 3 s, which is 1/2×4/3×9=6 m, rather than the distance within the third second alone.
• (4) Comes from subtracting the distance at 2 s from a mis-computed total, or from rounding 10/3 up.

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