***I WILL GIVE BEST ANSWER!***HEYY! CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION!? I HAVE A TEST COMING UP AND I AM SOO CONFUZZLED! PLEASE INCLUDE THE NUMBERS AND SOLUTIONS IN ANSWER! (please dont round)

- anonymous

- katieb

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- anonymous

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- anonymous

The question is what is the height of where the collision takes place!

- RANE

r u given the answer ?

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- anonymous

sadly, no :(

- RANE

ahan well i dis q's like this last year , i think i remember it

- anonymous

really!? how do u do it!?

- RANE

i think so, let me try first

- anonymous

okay! thankk youu!

- anonymous

i get a few tries to see if i got the question right so if you give me an answer i could put it in and see if youre right. and then you could explain it! but you cant round on anything! and this is only if youre willing to help me! sorry

- RANE

ok i did it and i got 91.6m but im not sure if thats the answer

- anonymous

did you round anything?

- RANE

nop

- RANE

was i suppose to?

- anonymous

nope! okay let me check

- anonymous

nope its wrong :(

- RANE

whts the answer then?

- anonymous

idk i can put in answers and it will tell me if its right or wrong

- RANE

idk then i cant figure out any other way to do it

- anonymous

its okay thanks anyways!

- RANE

np:) but dont u have nay clue wht could be the answer around ?

- anonymous

absolutely no idea lol

- RANE

have u done q's like that before?

- anonymous

not as hard!

- anonymous

this one is really complex

- RANE

sure it is

- RANE

maybe he can help @UnkleRhaukus

- anonymous

YES PLEASE @UnkleRhaukus lol

- anonymous

|dw:1380448186791:dw|
You know Vx and d. So you can calculate time t.
Then you can find what the AP is by using
\[\left| AP \right| =\frac{ g*t ^{2} }{ 2 }\]
Then you can calculate BP easily. |BP|=|AB|-|AP|

- anonymous

For target:\[h_t=h_0-1/2g t^2\]For bullet\[h_b=v_0\sin(\theta)t-1/2g t^2\]At time t_c both bodies collide:\[h_b=h_t \rightarrow v_0\sin(\theta)t_c-1/2g t_c^2=h_0-1/2g t_c^2 \rightarrow t_c=\frac{ h_0 }{ v_0\sin(\theta) }\]and at that moment, target is at:\[h_t(t_c)=h_0-\frac{ 1 }{ 2 }g \left( \frac{ h_0 }{ v_0\sin(\theta) } \right)^2=91.7-4.9·\left( \frac{ 91.7 }{ 109·\sin(48.4)} \right)^2\]

- anonymous

and during time t_c, bullet has to cover distance "d". Let us see:\[x(t=t_c)=v_0\cos(\theta)t_c=v_0\cos(\theta)\frac{ h_0 }{ v_0\sin(\theta) }=h_0/\tan(\theta)=d\]

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