Applications of Quadratic Functions

Key Questions

• How can quadratic equations be used to model ballistics?

  The height #H# of a projectile above the ground after #t# seconds is given by the formula #H_t = -1/2*g*t^2 + V_0*t + H_0#,
  where #g# is a physical constant (gravitational acceleration #~~9.8 m/s^2#), #V_o# is the initial velocity and #H_0# is the initial height.

  We notice that this is a quadratic equation of variable #t#.

  Alex Boroda · 1 · May 27 2015

• What are common mistakes students make with applications of quadratic functions?
• How is gravity a quadratic function?
• How can quadratic equations be used to model ballistics?
• What is the largest area that can be enclosed by a rectangular fence with a total perimeter of 500 m?
• In a word problem about ballistics, what do the x-intercepts of a quadratic function represent?
• In a word problem about ballistics, what does the absolute maximum of a quadratic function represent?
• How do I solve the formula #16t^2 - 12t - h = 0# for #t#?
• How do I solve the formula #16t^2 - vt - 40 = 0# for #t#?
• How do I solve the formula #kx^2 + 8x + 4 = 0# for #x#?
• If the roots of #2x^2+4x-1=0# are #a# and #b#, find #a^2+b^2#?
• What is the square root of #3-2sqrt2#?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-1,0), (3,0)?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-5,0), (5,0)?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (0,0), (10,0)?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (4,0), (8,0)?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-3,0), (-1/2,0)?
• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-5/2,0), (2,0)?
• Question #5059c
• How can we attempt to simplify expressions of the form #sqrt(p+qsqrt(r))# where #p, q, r# are rational?
• It is known that the equation #bx^2-(a-3b)x+b=0# has one real root. Prove that the equation #x^2+(a-b)x+(ab-b^2+1)=0# has no real roots.?