Question

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?

Answer 1

Answer:

1) h(t) = -5(t-3)^2

2) The ball reaches the highest point at 3 seconds.

Step-by-step explanation:

OK. So for this question, I recommend to rewite using vertex form since the answer is given in a more concise manner than using factored.  

First Step:

h(t) = -5t^2+30t

= -5(t^2-6t)

= -5(t^2-6t+9)+45

= -5(t-3)^2+45

Second Step:

The vertex form reveals the vertex to be at (3, 45).

Therefore, the ball reaches the highest point at 3 seconds.