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**1. A nerf gun in a vacuum is fired from .98 meters at an angle of 15degrees, going 7.86m. Find the initial velocity of the gun, then find the horizontal and vertical components of the initial velocity.**

Knowns

g=-9.8m/s

y=.98m

Knowns

g=-9.8m/s

^{2}y

_{o}x

_{o}=0m

y=o ( the final height of the dart is 0)

x=7.86m

θ=11 degrees

## Homework Equations

x=x

_{o}+v

_{o}t

y=y

_{o}+v

_{o}t+.5gt

^{2}

v

_{ox}=v

_{o}cosθ

v

_{oy}=v

_{o}sinθ

## The Attempt at a Solution

So first i simplified the x equation down to get time on one side to get

(x-x

_{o})/(v

_{o}cos11)=t

Then i plugged in the numbers to get

{7.86/(v

_{o}cos11)}=t

Then i plugged in the parts for the y equation,

-.98=v

_{oy}t+-4.9t

^{2}

Now what do i do? do take out a t and plug in the x equation?