contestada

Ingrid hit a golf ball. The height of the ball (in meters above the ground) t seconds after being hit is modeled by h(t)=-5t^2+30t
Ingrid wants to know when the ball reached it’s highest point.
1/ rewrite the function in a different form(vertex or factored) where the answer appears as a number in the equation
h(t)=
2/ how many seconds after being hit does the ball reach its highest point?

Respuesta :

Answer:

−5(t−3)^2+45

Ball reaches after 3 seconds

Step-by-step explanation:

took the dumb quiz

ashishdwivedilVT

1)The vertex form of the function is [tex]h(t)=-5(t-3)^2+45[/tex]

2)Time to reach maximum height is 3 seconds.

[tex]h(t)=-5t^{2} +30t[/tex] which is a parabolic function.

What is the vertex form of a parabola?

The vertex form of a parabola is [tex]f(x)=a(x-h)^2+k[/tex] where (h,k) is the vertex of the parabola. If a<0 then the maximum value of the function will be k.

So, [tex]h(t)=-5(t^{2} -6t)[/tex]

h(t) can be written as:

[tex]h(t)=-5(t^{2} -6t+9-9)[/tex]

[tex]h(t)=-5(t^{2} -6t+9) +45[/tex]

[tex]h(t)=-5(t-3)^2+45[/tex]

So, the vertex of h(t) will be (3,45)

So, the maximum height of the ball =45 m.

Time to reach maximum height = 3 seconds

Hence, 1)The vertex form of the function is [tex]h(t)=-5(t-3)^2+45[/tex]

2)Time to reach maximum height is 3 seconds.

To get more about a parabola visit:

https://brainly.com/question/4148030