An archer releases an arrow from a shoulder height of 1.39 m. When
the arrow hits the target 18 m away, it hits point A. When the target is
removed, the arrow lands 45 m away. Find the maximum height of the
arrow along its parabolic path.

- anonymous

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- anonymous

http://assets.openstudy.com/updates/attachments/507e201be4b0919a3cf31396-ducky_fresh-1350443065381-target.png

- anonymous

@dan815

- anonymous

@Luigi0210

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## More answers

- anonymous

Help meh coconut guy

- anonymous

:c

- anonymous

so far i drew the graph

- anonymous

idk how to get the maximum height

- CoconutJJ

ermm... is the arrow released parallel to the ground

- anonymous

no its released from 1.39

- anonymous

and its a parabola so it won't be parallel to the ground

- anonymous

its curvy like a parabola ._.

- anonymous

ITS A PARABOLA

- CoconutJJ

You can have a parabola with an initial angle too though!

- anonymous

._.

- anonymous

|dw:1435308134687:dw|

- CoconutJJ

According to your graph the max height would be 1.39m, however the question seems to easy

- anonymous

:O i just want to know how to find the maximum

- CoconutJJ

Hmm let f(x) = ax^2+bc+c
f(0) = 1.39
f(18) = (Height of point A) 16cm?
f(45) = 0

- CoconutJJ

bx*

- anonymous

:O

- CoconutJJ

c = y intercept
c = initial height
c= 1.39.
You see where I'm going?

- anonymous

ya

- CoconutJJ

no.. solve the system of equations. plug in f(0), f(18) and f(45)

- anonymous

ok wait

- CoconutJJ

since we already know c... which is 1.39

- anonymous

nope I'm really lost

- CoconutJJ

a(0)^2+b(0)+1.39=0
a(18)^2+b(18)+1.39=height of arrow
a(45)^2+b(45)+1.39=0

- anonymous

hmmm

- CoconutJJ

I suppose the arrow's height should be 0.16m from the ground...

- CoconutJJ

no wait...

- anonymous

1.71 is wat im getting

- anonymous

??

- CoconutJJ

I found this yahoo answers just now about the exact question. They use a similar approach. However I'm confused on how you would find the height of the arrow, the diagram only gives the height of the sections
https://answers.yahoo.com/question/index?qid=20121015160405AAfjtCu

- anonymous

:/ confusing

- CoconutJJ

^ I'm not quite sure what the height of point A is... Most likely 0.16m from the ground since it lies 4 section above the bottom of the target

- MrNood

I am almost certain that the question does not give enough information to solve this as it stands.
You NEED to know the height of point A from the GROUND and that is not given
I guess we also have to assume that they mean "if the target was NOT present the arrow would land at 45m" ot htat eh second shot without the target is EXACTLY the aame trajectory.
|dw:1435311494413:dw|

- MrNood

|dw:1435311610682:dw|

- MrNood

OK - THAT answer above has got more information - and gives the value for the height of A as required.
it IS solvable once you have that information
@Icedragon - was the height of the target given on YOUR drawing?

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