MATH
posted by Shannon
The path of a large stone fired from a catapult can be modeled by y= 0.00545x^2+1.145x
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!

Reiny
i 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
Respond to this Question
Similar Questions

Math
Football Lesson 5.1 1. y= 0.035x^2 + 1.4x + 1, where x is the distance (in yards) and y is the height (in yards) a. Does the graph open up or down? 
Geometry
The path of a large stone fired from a torsion catapult can be modeled by y=0.0054x(squared)+1.145x, where x is the distance the stone traveled (in yards) and y is the hieght of the stone (in yards) 
Physics
From the edge of the rooftop of a building, a boy throws a stone at an angle 24.0° above the horizontal. The stone hits the ground 4.40 s later, 104 m away from the base of the building. (Ignore air resistance.) Find the initial velocity … 
physics
From the edge of the rooftop of a building, a boy throws a stone at an angle 30.0° above the horizontal. The stone hits the ground 4.10 s later, 112 m away from the base of the building. (Ignore air resistance.) (a) Find the initial … 
algebra
You are putting a stone borderof uniform width around a rectangular garden that measures 6 yards by 15 yards. You only have enough stone to cover 100 square yards. How wide should the border be? 
physics
A stone with mass m = 2.3 kg is thrown vertically upward into the air with an initial kinetic energy of 190 J. The drag force acting on the stone throughout its flight is constant, independent of the velocity of the stone, and has … 
Physics Quick!
A tire 0.650 m in radius rotates at a constant rate of 240 rev/min. Find the speed of a small stone lodged in the tread of the tire (on its outer edge). (Hint: In one revolution, the stone travels a distance equal to the circumference … 
PHYYYYYSICS
A catapult launches a stone at an angle of 20° above the horizontal at a speed of 26.8 m/s. Assuming the stone begins its trajectory at the origin, determine the distance in meters from the origin that the stone achieves after 1.05 … 
science
A stone of mass 20g is projected vertically upward with a catapult whose rubber has a force constant of 72Nm1. If the tension in the cord at the point of release is 36N, find (a) the velocity of projection of the stone (b) the maximum … 
PSU
A 2.3kg stone is thrown from ground directly upward. the maximum height reached by the stone is 45m. Neglecting air resistance, a) with which initial speed was the stone thrown?