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mhsphysics10
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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/s2
yo=.98m
xo=0m
y=o ( the final height of the dart is 0)
x=7.86m
θ=11 degrees
x=xo+vot
y=yo+vot+.5gt2
vox=vocosθ
voy=vosinθ
So first i simplified the x equation down to get time on one side to get
(x-xo)/(vocos11)=t
Then i plugged in the numbers to get
{7.86/(vocos11)}=t
Then i plugged in the parts for the y equation,
-.98=voyt+-4.9t2
Now what do i do? do take out a t and plug in the x equation?
Knowns
g=-9.8m/s2
yo=.98m
xo=0m
y=o ( the final height of the dart is 0)
x=7.86m
θ=11 degrees
Homework Equations
x=xo+vot
y=yo+vot+.5gt2
vox=vocosθ
voy=vosinθ
The Attempt at a Solution
So first i simplified the x equation down to get time on one side to get
(x-xo)/(vocos11)=t
Then i plugged in the numbers to get
{7.86/(vocos11)}=t
Then i plugged in the parts for the y equation,
-.98=voyt+-4.9t2
Now what do i do? do take out a t and plug in the x equation?