A projectile is fired vertically upward from a height of 175175 feet above the ground, with an initial velocity of 800800 ft/sec. Recall that projectiles are modeled by the function h(t)=−16t2+v0t+y0h(t)=−16t2+v0t+y0. Write a quadratic equation to model the projectile's height h(t)h(t) in feet above the ground after t seconds.

Q: Find the quadratic function for which: Vertex is ( - 1, 2); contains the point (1, 6)

A: Consider the given point 1,6 and vertex -1,2

Q: A projectile is fired from ground level such that its height, h, as a function of time, 1, is given…

A: Given  h=-16t2+80t We have to write this equation in factored form.

Q: A projectile is fired vertically upward from a height of 175175feet above the ground, with an…

A: Consider the given data.

Q: The formula h =--gt² +vot + ho can be used to model the height of a projectile, where g is…

A:

Q: Based on data from a research group, a model for the total stopping distance of a moving car in…

A:

Q: High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a…

A: Given: The time required for a person to reach a COHb level capable of causing a coma can be…

Q: Find the equation for a cubic polynomial that could generate this graph given that it passes through…

A: We will find the equation of cubic polynomial as following.

Q: In 1993​, the sports league introduced a salary cap that limits the amount of money spent on​…

A:

Q: What is the discriminant and what information does it provide about a quadratic equation?

A:

Q: What is the largest value of the quadratic form 5x} – 3x; if x'x = 1?

A:

Q: Write the equation of a quadratic function with roots at 5 and 1, and a vertex at (3, -4). Write the…

A:

Q: A smart-phone is thrown upwards from the top of a 336-foot building with an initial velocity of 64…

A: NOTE: Refresh your page if you can't see any equations. . when the phone hits the ground, its…

Q: Define the formula for a parabola (a quadratic function) that has horizontal intercepts (roots) at…

A: SolutionA parabola has horizontal intercepts(roots) at x = 6.1 and x = 1.4and passes throught the…

Q: Find the roots of 2x quadratic equation - 2/x2 +1 = 0,if they exist using the

A: Given equation is 2x2-22x+1=0 find the roots of the quadratic equation

Q: Determine the quadratic equation that has zeroes at -4 and 11, if f(-3)=56. Show all your work.

A: We have to determine the quadratic equation that has zeros at -4 and 11 If f(-3) = 56

Q: 1.у 3D2x? + 3х - 4 - y = Зх- 4 2. у 3 5x?- 7х + 2 3. у %3 3x2-4х +5

A: Topic = Quadratic equations As per guidelines , At a time only three sub-parts of a question can be…

Q: Find the quadratic equation whose roots are (3-j5) and (2 + j4).

A:

Q: Find the roots of the quadratic function f(x) = 2x2- 6x + 7 by the method of completing the square.

A: Topic : quadratic equation

Q: Find the equation of the quadratic function in factored form that has roots 3 and -1 and passes…

A: equation of quadratic function in factored form that has roots a and b is : y=C(x-a)(x-b) here C is…

Q: A soccer ball is hit from the ground and lands 12 meters away from where it was hit. Further- more,…

A: Solve the given problem

Q: The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can…

A: The solution is given below :

Q: If brad throws a spherical object vertically upward having initial velocity at 200 feet per second…

A:

Q: Find the quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)

A: We can find the quadratic functions as below.

Q: Write a quadratic equation in standard form with - 4 and 3/2 as its roots. I 2x^2 - 5x - 12 = 0…

A: Given;           Roots of the quadratic equation are -4 and 32 Using the given roots, make a…

Q: The parabolic flight of an aircraft used to simulate weightlessness can be modelled by the quadratic…

A:

Q: Show that the cubic equation 2x3−3x2−15=0 has a solution in the interval (2,3).

A: Cubic Equation: Let f(x)=2x3-3x2-15We need find that there is a solution between (2,3)

Q: What are the roots of the quadratic function y--6.1x-97.6x– 390.4?

A: Directly use the quadratic formula and find the roots.

Q: Determine a quadratic function in standard form that has roots x 3i and x -3i and also passes…

A:

Q: Express the quadratic function -4x^2-20x+1 in vertex form

A: NOTE: Refresh your page if you can't see any equations. .

Q: Write the equation of a quadratic function with roots at -6 and -5, and a vertex at (-5.5, -0.25).…

A: We can use the concept of quadratic equation In order to solve the given problem.

Q: A projectile is fired vertically upward from a height of 175175 feet above the ground, with an…

A: Given:A projectile is fired vertically upward from a height of 175 feet above the ground with an…

Q: What is the equation of a quadratic function y = f(x) with two irrational zeros,-h and h where h is…

A: Given,         The equation of a quadratic function y=fx with two irrational zeros, -h          and…

Q: A quadratic function will not always have zeros.

A: This given statement is true.

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex…

A:

Q: What is a polynomial equation? When is it in standard form?

A: Solution: Polynomial Equation: The equation that involves variable (single independent), exponents,…

Q: Find the quadratic polynomial whose graph goes through the points (-2,8), (0, 6), and (1, 11). f(x)…

A:

Q: find the quadratic equation with integral coefficients whose roots are 0 and -7.

A: we have to find the quadratic equation

Q: Suppose a particular solar trough has width 180 cm and depth 56 cm. Determine the quadratic function…

A: Answer is mentioned below

Q: 2. Determine the equation of the quadratic function which passes through the points (-2, -20), (1,…

A:

Q: 6. Determine the equation of the quadratics with x-intercepts of 2 and -2 and a y- intercept of-6.

A:

Q: Find the quadratic polynomial whose graph goes through the points (-1, 3), (0, 1), and (1,7). f(x) =

A:

Q: Compute the ralue of the discriminant and give the number of realSolutions of the quadratic…

A: we have to find the discriminant and the number of real solutions

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: As  2 questions are given , so I will solve only the first question, We are given the height (in…

Q: 3. Determine the equation of the cubic function with zeros -1, 213 and 3, passing through (4, 5).

A:

Q: A defender kicks a soccer ball away from her own goal. The path of the kicked soccer ball can be…

A: The path of soccer ball is given as , hx=-0.06x2+3.168x-35.34 where x is the horizontal distance…

Q: Write the rule of the cubic polynomial with roots 5, -2, and 0 that passes through the point (3,–7).

A:

Q: Find the quadratic function whose graph passes through the points (-1, -2), (2, 1), and (-2, 1).

A: You are looking for a function with:quadratic functionPoint at (-1|-2)Point at (2|1)Point at…

Q: Let us suppose that one of the fireworks is launched from the top of the building with an initial…

A:

Q: High concentrations of carbon monoxide CO can cause coma and possible death. The time required for a…

A:

Q: Determine a quadratic function in standard form that has roots x = 3i and x = -3i and also passes…

A: given that roots of quadratic function…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.