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  • The distance travelled by a particle starting from rest and moving with an acceleration <img alt="\mathrm{\frac{4}{3}m/s^{2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B

The distance travelled by a particle starting from rest and moving with an acceleration \mathrm{\frac{4}{3}m/s^{2}}, in the fourth second -

Option: 1

\mathrm{\frac{14}{3}m}


Option: 2

\mathrm{14m}


Option: 3

\mathrm{6m}


Option: 4

\mathrm{15m}


Answers (1)

Given,

\mathrm{\begin{aligned} & a=\frac{4}{3} \mathrm{~m} / \mathrm{s}^2, u=0 \mathrm{~m} / \mathrm{s} \\ & s_{n^{\text {th }}}=u+\frac{a}{2}(2 n-1) \\ &\: \: \: \: \: \: \: \: =0+\frac{4}{3 \times 2}(2 \times 4-1) \\ & s_{n \text { th }}=\frac{4}{6} \times 7=\frac{28}{6} \end{aligned}}

\mathrm{S_n{ }^{\text {th }}=\frac{14}{3} \mathrm{~m}}

Posted by

Kshitij

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