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Motion In A Plane

Question
CBSEENPH11020748

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

  • 6 m

  • 4 m

  • 10/3

  • 19/3

Solution

C.

10/3

Distance travelled by  the particle in nth second
straight S subscript straight n to the power of th end subscript space equals space straight u space plus 1 half space straight a space left parenthesis 2 straight n minus 1 right parenthesis
Where u is initial speed and a is an acceleration of the particle. 
Here, n = 3, u =0, a = 4/3 m/s2
straight S subscript 3 rd end subscript space space equals space 0 space plus space 1 half space straight x 4 over 3 space straight x space left parenthesis 2 space straight x space 3 minus 1 right parenthesis
space equals space 4 over 6 space straight x space 5 space equals space 10 over 3 space straight m