type the answers in the spaces provided. use numbers instead of words. the function h(t)= - 9.8t² + 58.8t…

type the answers in the spaces provided. use numbers instead of words. the function h(t)= - 9.8t² + 58.8t represents the height, in meters, of a model rocket t seconds after it is launched. determine the zeros of the function. answer: zeros: t = and t = what do the zeros of the function represent in this situation? the zeros represent the rockets minimum and maximum heights. the zeros represent when the rocket is at its maximum and maximum heights. the zeros represent when the rocket is launched and when it reaches the ground. the zeros represent the rockets distance from where it is launched to where it reaches the ground.
Answer
Explanation:
Step1: Establecer la función igual a cero
$-9.8t^{2}+58.8t = 0$
Step2: Factorizar la ecuación
$t(-9.8t + 58.8)=0$
Step3: Aplicar la propiedad del producto cero
$t = 0$ o $-9.8t+58.8 = 0$
Step4: Resolver para $t$ en la segunda ecuación
$-9.8t=-58.8$ $t=\frac{-58.8}{-9.8}=6$
Answer:
$t = 0$; $t = 6$