Tutors Answer Your Questions about Quadratic-relations-and-conic-sections (FREE)
Question 1122315: Please help me to solve this problem.
A fountain shoots out water that follows a parabolic curve. Water comes out of a port on the ground and goes into another port also on the ground. The ports are five meters apart; and the water peaks at four meters from the ground. Consider the midpoint of the distance between the two ports as the origin. (a) Write the equation that models this parabola. (b) What is the horizontal distance of the water arc two meters from the ground? (c) If the horizontal distance of the rising and fall water is two meters, how far from the ground is the water at those point?
Click here to see answer by solver91311(24713)   |
Question 1126329: a large reflecting telescope has a parabolic mirror that s 4 m eters in diamter and 25 centimeter deep. it requires a cage for the observer with an eyepiece at the focus of the mirror how far up the tube of the telescope must the cage be built? this design is called a prime focus telescope.
Click here to see answer by Alan3354(69443)  |
Question 1126701: 1. A one-way tunnel has the shape of a semi-ellipse that is 12 ft. high at the center and 28 ft. across.
a) Will a truck that is 8 ft. across and 10 ft. high will be able to pass through the tunnel? (Show Solution)
(b) Suppose the road under the tunnel has two lanes, and the truck is allowed to pas through only one lane. Will it still be able to pass through the tunnel? (Show Solution)
Click here to see answer by greenestamps(13200)  |
Question 1126873: A medical procedure called lithotripsy is a noninvasive medical procedure that is used to break up kidney and bladder stones in the body. A machine called a lithotripter uses its three-dimensional semi-elliptical shape and foci properties of an ellipse to concentrate shock waves generated at one focus on a kidney stone located at the other focus. If the lithotripter has a length (semi-major axis) of 16cm and a radius (semi-minor axis) of 10cm, how far from the vertex should a kidney stone be located for the best result?
Click here to see answer by ikleyn(52803)  |
Question 1126874: As a planet orbits around the Sun, it traces out an ellipse. If the center of the ellipse were placed at (0,0) on a coordinate grid, the sun would actually be off-centered (located at the focus of the ellipse).
The aphelion (maximum distance from the Sun) of the planet Mars is approximately 156 miles, while the perihelion (minimum distance from the Sun) of Mars is about 128 million miles. Use this information to find the lengths of the semi major and semi minor axes, rounded to the nearest million. If Mars has an orbital velocity of 54,000 miples per hour (1.296 miles per day), how many days does it take Mars to orbit the Sun?
Click here to see answer by ikleyn(52803) |
Question 1126973: Hi, I read this questions and came up with the equation, but I'm not sure if I did it right, can you help me?
======================
How far can a soccer player kick a soccer ball down field? Through the application of a linear function and a quadratic function and ignoring wind and air resistance one can describe the path of a soccer ball. These functions depend on two elements that are within the control of the player: velocity of the kick (vk) and angle of the kick (θ). A skilled high school soccer player can kick a soccer ball at speeds up to 50 to 60 mi/h, while a veteran professional soccer player can kick the soccer ball up to 80 mi/h.
*During the game the air and wind resistance play a role in the ball's path, however these factors make the equation more complex.
*The soccer ball in flight follows a parabolic curve.
** so basically it's like a right triangle with "Vk = Vkick" on the hypotenuse, "Vy" on the opposite side and "Vx" on the adjacent side. And a 0 in front of the acute angle between the hypotenuse and the adjacent side.
Vectors --> The vectors identified in the pattern describe the initial velocity of the soccer ball as the combination of a vertical and horizontal velocity.
Gravity --> The constant g represents the acceleration of any object due to the Earth's gravitational pull. The value of g near Earth's surface is about -32 ft/s^2.
Vx = Vk cos 0 and Vy = Vk sin 0
1. Use the information above to calculate the horizontal and vertical velocities of a ball kicked at a 35 degree angle with an inital velocity of 60mi/h. Convert the velocities to ft/s.
***so the equation would be 60 = 35 cos -32, which would be 0, so the x value is 0. and then the second equation would be -32 = 60 sin 35 = 34.4
2.The equations x(t) = vx t and y(t) = vy t + 0.5 gt^2 describe the x- and y- coordinate of a soccer ball function of time. Use the second to calculate the time the ball will take to complete its parabolic path.
Do I plug in (0,34.4)?
3. Use the first equation given in Question 2 to calculate how far the ball will travel horizontally from its original position.
??
Click here to see answer by solver91311(24713) |
Question 1128656: I am having a lot of trouble with this concept. Can anyone help, please?
Find the equation of a circle satisfying the given conditions.
Center (−3,−1) and radius 5√6
The equation of the circle in standard form is____. (Type an equation.)
Click here to see answer by MathLover1(20850)  |
Question 1128656: I am having a lot of trouble with this concept. Can anyone help, please?
Find the equation of a circle satisfying the given conditions.
Center (−3,−1) and radius 5√6
The equation of the circle in standard form is____. (Type an equation.)
Click here to see answer by josgarithmetic(39620) |
Question 1128656: I am having a lot of trouble with this concept. Can anyone help, please?
Find the equation of a circle satisfying the given conditions.
Center (−3,−1) and radius 5√6
The equation of the circle in standard form is____. (Type an equation.)
Click here to see answer by ikleyn(52803) |
Question 1130352: Use the position equation
s = -16t^2 + v0t + s0
as the model for the problem.
A cargo plane flying at 9000 feet over level terrain drops a 700-pound supply package.
(a) How long will it take the package to strike the ground? (Round your answer to two decimal places.)
sec
(b) The plane is flying at 900 miles per hour. How far will the package travel horizontally during its descent? (Round your answer to two decimal places.)
mi
Click here to see answer by Alan3354(69443) |
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