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- anonymous

A rock is launched from a cannon. After 1 second, the rock is 243 feet in the air; after 2 seconds, it is 452 feet in the air. Using the quadratic function, find the height, in feet, of the rock after 5 seconds in the air

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- anonymous

- schrodinger

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- anonymous

I've seen a similar problem to it yesterday, and I got confused lol ^_^"

- anonymous

What is the angle at which it is launched?

- anonymous

doesn't say.

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- amistre64

a+b = 243
a = 243 - b
4a +2b = 452
4(243-b) +2b = 452
892 -4b + 2b = 452
892 -452 = 2b
440/2 = b
b = 220
--------------
a = 243-220 = 23
23x^2 +220x = y
--------------------
23 + 220 = 243 checks
23(4) + 220(2) = 452
92 + 440 = 30
ok.....whatd I do wrog..hard to type in the dark :)

- anonymous

assume it is launched straight up. say its initial acceleration is a. distance is ut+1/2at^2

- anonymous

initial speed is 0. so d = 1/2 at^2

- amistre64

its a simple quad equation, not physics....but that might be a shot :)

- amistre64

(0,0) (1,243) (2,452)

- anonymous

since it is launched straight up in the air, the gravity is acting against the rock. so s = 1/2(a-32.17)t^2

- amistre64

1a + 1b = 243
b = 243-a
4a + 2b = 452
4a + 2(243-a) = 452
4a +486 -2a = 452
2a = 452 - 486
2a = -34
a = -17 by that

- anonymous

oh okay, then you should follow amistre 64's procedure.

- amistre64

b = 243 --17
b = 260
-17x^2 +260x = y
-17(4) + 260(2) = 452
-68 + 520 = 452 right? someone tell me its right lol

- anonymous

452 is the height of the rock at 2 seconds.

- anonymous

amistre64 can u please help me

- amistre64

the numbers are working yay!!...plug in a 5

- anonymous

plug in a 5 where?

- amistre64

-17(25) +260(5) = ?

- anonymous

that's what i thought. i just tried it. i got 875

- amistre64

-425 + 1300= 875....me too :)

- anonymous

correct! one more to go! let's hope i pass it this time! i've only missed one outta 4. on to the 5th question. thanks amistre64!

- amistre64

i wrote you a quad program today, but left my flash drive at the college lol

- anonymous

thanks though!

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