A small rocket is fired from a launch pad

$1515$

m above the ground with an initial velocity

left angle $350$ comma $500$ comma $550$ right angle$350,500,550$

$$m$/$s$.$ A cross wind blowing to the north produces an acceleration of the rocket of

$3\mathrm{.}53\mathrm{.}5$

m divided by s squaredm$/$s$2.$

Assume the$$ x$-$axis points$$ east, the$$ y$-$axis points$$ north, the positive$$ z$-$axis is vertical$($opposite g$),$ and the ground is horizontal. Answer parts a through

d$.$

Question content area bottom

Part $1$

a$.$ Find the velocity and position vectors for

tgreater than or equals$0.$

The velocity vector is

v$($t$)$equals$=$left angle nothing comma nothing comma nothing right angleenter your response here,enter your response here,enter your response here.