Monday

December 22, 2014

December 22, 2014

Posted by **Shannon** on Tuesday, December 7, 2010 at 8:40pm.

where x is the distance the stone traveled (in yards) and y is the height of the stone (in yards).

1. find the distance the stone traveled.

2. find the maximum height of the stone.

AND (sorry there is more)

the path of a large arrow fired from a catapult can be modeled by y= -0.0044x^2+1.68x, where x is the distance the arrow traveled (in yards) and y is the height of the arrow (yards). Give the height of the castle wall, find the safest distance from the wall to launch an arrow over the wall.

1. the height of the wall is 120 yards

2. the height of the wall is 100 feet.

Okay thanks you so much! please try them! i am so bad at math.

Right now we are on quadratic formulas so i think your probably supposed to use that. Thanks!

- MATH -
**Reiny**, Tuesday, December 7, 2010 at 9:30pmi will do the first, you do the second

1. set y = 0

0 = -0.00545x^2 + 1.145x

0.00545x^2 - 1.145x = 0

x(0.00545x - 1.145) = 0

x=0 (at the start) or

x = 1.145/0.00545 = 210.1

2 max of y would be at the vertex of the parabola.

the x of the vertex is -b/2a = -1.145/(2(-0.00454)) = 105.05

then max y = -0.00545(105.05)^2 + 1.145(105.05)

= 60.14

**Answer this Question**

**Related Questions**

Geometry - The path of a large stone fired from a torsion catapult can be ...

Math - Football Lesson 5.1 1. y= -0.035x^2 + 1.4x + 1, where x is the distance (...

PHYYYYYSICS - A catapult launches a stone at an angle of 20° above the ...

Physics Quick! - A tire 0.650 m in radius rotates at a constant rate of 240 rev/...

Physics - A stone is thrown straight upward with a speed of 12 m/s from the edge...

p - A certain string can withstand a maximum tension of 41 N without breaking. A...

algebra - You are putting a stone borderof uniform width around a rectangular ...

Physics/Math - A certain string can withstand a maximum tension of 43 N without ...

physics - A catapult used to hold a stone of mass 500g is extended by 20cm with ...

physics - If a stone is attached with a string and oscillates in to and fro ...