Question

Medal please help!!
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.

Answer 1

you need more than help with this one. ive got no idea

Answer 2

tell them its a stupid question. Will Hunting could not even do it.

Answer 3

haha okay

Answer 4

is there any more details provided?

Answer 5

im only doing 2 & 3

Answer 6

i just had a look at what u have been given, is there any data that goes along with it? numbers limits etc?

Answer 7

no lol

Answer 8

let me think bout it, hope someone else can help if i cant

Answer 9

okay thanks:)

Answer 10

the parabola is defined by the equation:

y = f(x) = ax² + bx + c

...where a, b, and c are constant coefficients to be determined. You are given three points:

f(0) = 1.39
f(18) = h ... (height of point A) ... I suspect there's a figure you're not showing us
f(45) = 0

Answer 11

You need that height h to solve the problem.

Answer 12

That will give you three equations in 3 unknowns

Answer 13

GirlByte is right, we need the height of the of point 'A' when the arrow hits the target 18m away

Answer 14

girl byte u r too good

Answer 15

When you get a value for h, you can solve for a and b. If a is not negative, you have a problem since a trajectory should always be a parabola that opens downward. The maximum height will be where x = -b/(2a)

Answer 16

the attachment i posted is all i have :/

Answer 17

I'd assume the height of point A is the same height as the archer of 1.39m
so the three points are:
(0, 1.39)
(18, 1.39)
(45, 0)

make up three equations from the quatratic equation of
y = ax^2 + bx + c

solve for a, b, and c

Answer 18

Ok. Here's an attachment. This contains the solution. If you have any questions just ask me
http://assets.openstudy.com/updates/attachments/508079bae4b067efc9ff1ee0-fall12-13-1350601069012-507e201be4b0919a3cf31396phi1350496607180archer.pdf

Answer 19

oh i thought is was 1.41

Answer 20

GirlByte, how do you know the bulls eye is at shoulder height?

Answer 21

I do archery :)

Answer 22

what if u r Lebron James and u r 6-8

Answer 23

do they alter the target for each individual?

Answer 24

I guess that info is 'general' knowledge in the archery world! ^_^

Answer 25

Anyways ,back to the topic. @aubreyk9616 Do u have any questions?

Answer 26

im just confused, i cant figure it out.

Answer 27

At which point of the solution you find hard to understand? Just ask me ;P