Evaluate a Quadratic Function Given an Output

Here you will find the input for a quadratic function when the output is given.

Check Your Understanding

1. A ball is drop from the top of a building. The height, h, of the ball above ground after t seconds can be calculated using the formula
h(t) = -16t2 + 400

How many seconds will it take for the ball to hit the ground?

Hint: The ball will hit the ground when the height above ground is 0; that is, when h(t) = 0.
My answer is 400 because h(0)=-16t+400 but i keep getteng it wrong

  1. 👍
  2. 👎
  3. 👁
  1. you do not want h(0) -- that is the initial height (time t=0)

    You want t when h=0. That is,

    -16t^2 + 400 = 0
    t^2 = 25
    t = 5

    1. 👍
    2. 👎
  2. ok, then according to their hint,

    0 = -16t^2 + 400
    16t^2 = 400
    t^2= 400/16 = 25
    t = √25 = 5

    so it took 5 seconds

    How could it possible take 400 seconds or almost 7 minutes for a ball to fall from 400 ft ???

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Unit 4: Quadratic Functions and Equations Lesson 6: The Quadratic Formula and the Discriminant 1.) a=5, b=9, c=-4 2.) C 3.) No solution 4.) x=-2, x=1.25 5.) x=-9, x=3 6.) quadratic formula 7.) 2 8.) 11cm by 16cm

  2. math help how do i do this

    Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring. −b b^2 − 4ac 2a Use the part of the quadratic formula that you chose above and find its value, given the following

  3. math

    A quadratic function has its vertex at the point (-9,3). The function passes through the point (2,-1). Find the quadratic and linear coefficients and the constant term of the function.

  4. College Algebra

    The graph of a quadratic function f(x) is shown above. It has a vertex at (-2,4) and passes the point (0,2). Find the quadratic function y=a(x-(-2))^2+4 y=a(x+2)+4 2=a(x+2)+4 -4 -4 -2=a(0+2)/2 -1+ a function -1(x+2)+4 ? Im not

  1. math

    Which of the following statements is FALSE? 1.It is possible that for a parabola and a line to intersect exactly once 2.The y-intercept of the quadratic function is always higher than the y-coordinate of the vertex. 3.If a

  2. Math

    identify the function rule from the values in the table. input | output -1 | -2 0 | -1 1 | 0 2 | 0 A. output equals input times 2. B. output equals input minus 1. C. output equals input times -1. D. output equals input minus 2.

  3. Algebra

    Please Help! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1,2) A. f(x)=−3x2+4x−1 B. f(x)=−2x2+5x−1 C. f(x)=−3x2+10x−1 D. f(x)=−5x2+8x−1 Determine if

  4. Urgent math

    A quadratic function is given. f(x) = x2 − 8x + 8 (a) Express the quadratic function in standard form.

  1. math

    Which statement describes how to determine if a relation given in a table is a function? If none of the output values are repeated, the relation is a function. If none of the input values are repeated, the relation is a function.

  2. linear systems

    The statement that is false is A. A system of quadratic-quadratic equations can have exactly one solution. B. A system of quadratic-quadratic equations has no solutions if the graphs do not intersect. C. It is impossible for a

  3. math

    How are the real solutions of a quadratic equation related to the graph of the quadratic function?

  4. Algebra

    Can you please help me with the following problems? Find the coordinates of the vertex for the parabola defined by the given quadratic function. 1.f(x) = (x - 4)2 - 4 Find the axis of symmetry of the parabola defined by the given

You can view more similar questions or ask a new question.