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

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• How can quadratic equations be used to model ballistics?
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• How do you find two quadratic function one that opens up and one that opens downward whose graphs have intercepts (-5,0), (5,0)?
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• 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.?