Consider $3$ vectors with the following components:

$$

Ax $=7$ Ay $=9$ Bx $=9$ By $=4$ Cx $=26$ Cy $=22$

a$)$ Find a and b such that a $$A $+$ b $$B $+$ C $=0$

$2.$ A particle moves along the x axis according to the equation

x $=2\mathrm{.}02+3\mathrm{.}08$t $1$t$2$

Where x is in meters and t is in seconds and starts with an initial velocity of vi $=0$ m$/$s

a$)$ Find the position of the particle at t $=3\mathrm{.}2$ s

b$)$ Find the velocity of the particle at t $=3\mathrm{.}2$ s

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