math

Using the equation representing the height of the firework (h = -16t2 + v0t + h0), algebraically determine the extreme value of f(t) by completing the square and finding the vertex. Interpret what the value represents in this situation.

asked by jess
  1. for y = ax^2 + bx + c, the x of the vertex is -b/(2a)
    so for h = -16t2 + v0t + h0 , the t of the vertex is -v0/-32 = v0/32
    h = -16(v0^2/1024) + (v0)^2 + h0
    = -v0/32 + v0^2 + h0

    vertex is (v0/32 , -v0/32 + v0^2 + h0)

    check my algebra, I did not write it out first.

    posted by Reiny
  2. for y = ax^2 + bx + c, the x of the vertex is -b/(2a)
    so for h = -16t2 + v0t + h0 , the t of the vertex is -v0/-32 = v0/32
    h = -16(v0^2/1024) + (v0)^2 + h0
    = -v0/32 + v0^2 + h0

    vertex is (v0/32 , -v0/32 + v0^2 + h0)

    check my algebra, I did not write it out first.

    posted by Reiny
  3. Recall that for ax^2+bx+c the vertex lies at (-b/2a, (4ac-b^2)/4a)

    Now just plug in your coefficients

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. College Algebra

    Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t
  2. College Algebra

    Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t
  3. math

    How fast would a ball have to be thrown upward to reach a maximum height of 49 ft? [Hint: Use the discriminant of the equation 16t2 − v0t + h = 0.
  4. Algebra 1

    A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel at speeds shown at the right. Firework B is launched 0.25 s before Firework A. How many seconds after Firework B launches will
  5. math please explain!

    Suppose this firework is set to explode 3 seconds after it is launched. At what height will this firework be when it explodes? My equation is h(t)=-16t^2+120t+20 How do I do this?
  6. Algebra

    Which of the following statements is true? A. Any quadratic equation can be solved by completing the square. B. Completing the square always gives two distinct solutions. C. You can’t complete the square if there is no constant
  7. Algebra

    Find the vertex of the functions given below. 1. y=(x-4)(x+2) 2. y=2x^2-4x+1 The midpoint of the x-intercepts of a parabola has the same x value as the vertex. the x-intercepts are obviously x=4 and x=-2 so the x value of the
  8. algebra 2 A

    Unit 5: Quadratic functions and equations. I need help with the Firework display portfolio?? Fireworks Display Portfolio ALGEBRA 2 A: QUADRATIC FUNCTIONS AND EQUATIONS Directions: You are part of a fireworks crew assembling a
  9. Physics

    Use the position equation given below, where s represents the height of the object (in feet), v0 represents the initial velocity of the object (in feet per second), s0 represents the initial height of the object (in feet), and t
  10. maths

    how do i find out the the equation of the line of symmetry for f(x)=ax^2+bx+c ? please explain it do me thanks! The line of symmetry runs through the vertex. so the x of the vertex is -b/(2a) and the equation of the line of

More Similar Questions