The velocity of a particle


The velocity of a particle is $v=v_{0}+g t+\mathrm{Ft}^{2}$

Its position is $x=0$ at $t=0$; then its

displacement after time $(t=1)$ is :

  1. (1) $v_{0}+g+F$

  2. (2) $v_{0}+\frac{g}{2}+\frac{F}{3}$

  3. (3) $v_{0}+\frac{g}{2}+F$

  4. (4) $v_{0}+2 g+3 F$

Correct Option: , 2





$\int \mathrm{ds}=\int_{0}^{1}\left(\mathrm{v}_{0}+\mathrm{gt}+\mathrm{Ft}^{2}\right) \mathrm{dt}$

$\mathrm{s}=\left[\mathrm{v}_{0} \mathrm{t}+\frac{\mathrm{gt}^{2}}{2}+\frac{\mathrm{Ft}^{3}}{3}\right]_{0}^{1}$


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