Wednesday

April 23, 2014

April 23, 2014

Posted by **Rachelle** on Friday, April 20, 2012 at 7:49pm.

1. Write an equation describing the upward motion of the projectile.

***No air resistance.

***Let y represent altitude of the projectile (feet).

***let t represent time after firing in sec.

~~ 5200=-16t^2+340t+4500~~ IS THAT EQUATION CORRECT?

2. When, on the way up, might the projectile intersect the Red Baron? (THIS IS WHERE IM STUCK).

- Applying Algebraic Thinking to Data -
**Steve**, Saturday, April 21, 2012 at 5:57amsince we have no idea of the speed of the planes, we can only assume yu need to find when the height of the projectile is 5200 ft. Then ,if Snoopy is extremely lucky, he just might hit the Red Baron.

So, since your equation is correct, just solve

y = -16t^2+340t+4500

when y = 5200, as you showed above.

What's the problem? It's just a simple quadratic.

5200=-16t^2+340t+4500

-16t^2+340t-700 = 0

t = 5/8 (17 ± √177)

- Applying Algebraic Thinking to Data -
**Steve**, Saturday, April 21, 2012 at 5:59amat t = 5/8 (17 - √177) the missile is going up

at t = t = 5/8 (17 + √177) it is coming back down.

To see this, go to wolframalpha . com and type in

solve 5200=-16t^2+340t+4500

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