An astronaut on the moon throws a baseball upward. The astronaut is 6 ft. 6 in. tall, and the initial velocity of the ball is 50 ft. per sec. The height s of the ball in feet is given by the equation s = 2.7t^2 + 50t + 6.5, where t is the number of seconds after the ball was thrown. Complete parts A and B. A: After How many seconds is the ball 20 ft above the moon's surface?​

Respuesta :

After 0.1865 seconds or  10.925 seconds is the ball 20 ft above the moon's surface as determined using quadratic equation.

What is a quadratic equation ?

  • In algebra, a quadratic equation is any equation that can be rearranged in standard form as ax2 + bx + c = 0 , where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. still, not quadratic,( If a = 0( and b ≠ 0) also the equation is direct.
  • The figures a, b, and c are the portions of the equation and may be distinguished by calling them, independently, the quadratic measure, the direct measure and the constant or free term.
  • The values of x that satisfy the equation are called results of the equation, and roots or bottoms of the expression on its left- hand side. A quadratic equation has at most two solutions.
  • However, one says that it's a double root, If there's only one solution.
  • A quadratic equation always has two roots, if complex roots are included; and a double root is counted for two.
  • A quadratic equation can be regard into an original equation.

[tex]h(t) = -2.7t^2 + 30t + 6.5\\\\12 = -2.7t^2 + 30t + 6.5\\\\2.7t^2 - 30t - 6.5 + 12 = 0[/tex]

use the quadratic formula

t = 0.1865 seconds or  10.925 seconds

Thus,  After 0.1865 seconds or  10.925 seconds is the ball 20 ft above the moon's surface as determined using quadratic equation.

Learn more about quadratic equation here:

https://brainly.com/question/25841119

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