Answer to Question #135997 in Algebra for alya

Question

jumping from a height of 300 meters . At the time the cord lifted his brother back up , he was 23 meters above the ground . If Jamal started recording as soon as his brother fell , how much time elapsed when the cord snapped back ? Use f(t) = - 16t ^ 2 + c where is the height in meters

Answer 1

$f(t)=-16t^2+300=23, t\geq0$

$$16t^2=277$$

$$t=\pm\sqrt{\dfrac{277}{16}}$$

Since $t\geq0,$ we take

$$t=\sqrt{\dfrac{277}{16}}=\dfrac{\sqrt{277}}{4}\approx4.161(s)$$