Answer:
c) [tex]h(t)=-16(t-1.5)^{2}+676[/tex]
Step-by-step explanation:
Each of the given equations is written in vertex form. This means that the vertex is written in the equation. The quadratic term (the term to the second degree), contains (x), and a value that is either added or subtracted to it. The additive inverse (meaning a number times negative one) of that number is the x-coordinate of the vertex. Therefore, the term inside the parenthesis is (-1.5). The constant is the y-coordinate of the vertex, and therefore it is 676. Since the object is being thrown off a cliff, gravity acts on it. The gravitational constant in feet per second is (-16), hence the coefficient of the quadratic term is (-16).
