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  • The velocity of a particle as a function of time is given as    &nbsp

The velocity of a particle as a function of time is given as  V=at^{2}+bt    its displacement in time t is

Option: 1

\frac{at^{2}}{2}+\frac{bt^{3}}{3}\;


Option: 2

\; \; \frac{at^{2}}{4}+\frac{bt^{2}}{3}\; \;


Option: 3

\; \frac{at^{3}}{3}+\frac{bt^{2}}{2}


Option: 4

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Answers (1)

best_answer

 

 v = a t^2 + bt

s = \int vdt = \int (at^2 + bt )dt \\\\= a \int t^2 dt + b \int tdt \\\\ = \frac{at^3}{3}+ \frac{bt^2}{2}

 

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Riya

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