Question 161: how are quadratic equations used in real life?
Answer by KMST(5483)   (Show Source):
You can put this solution on YOUR website! BALLISTICS: Movement of projectiles, balls or other objects tossed up or down, arrow shot, people diving from a high place.
On earth, when anything moves up, or down, or both, gravity affects the vertical movement adding a downward velocity at a rate of 32ft/s/s (9.8m/s/s).
Over  seconds downwards velocity increases by  or  .
The distance the object/projectile moves each second will be a form of velocity multiplied by time, and you will end with a  in the calculation of distance and position.
Forces other that gravity may cause similar acceleration in objects, requiring a term in in the calculations.
pH OF A WEAK ACID SOLUTION: Calculating the pH of a solution of a weak acid in water. You make a solution calculated to have a nominal concentration of acid HA of 0.1 mol/L. It could be 0.01mol/L. As a chemist I have made such solutions daily for some projects
Unlike strong acids, in solution the acid dissociates only partially into  and  ions. You end up with each of those ions at molar concentrations   and of  moles/L , and the undissociated acid at a concentration of  moles/L. The equation that determines the dissociation of weak acids relates all those concentrations as
 , and each weak acid has a specific dissociation constant  . Determining requires solving the quadratic equation that results from .
AREA OF A PEN: The problem of area inside a pen related the amount of fencing needed for several or all sides. If you have to fence all four sides of a rectangle, you get the most for your money if your rectangle is a square.
If one side does not require fencing because there is a wall or the banks of river, a square is not the best option.
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