Question

Ace can throw a baseball 36.2 feet per second. The ball is thrown straight up in the air, releasing it at 4.9 feet above the ground.

The equations is given by:
`h(t)=-16t^2+36.2t+4.9` where h is the height of the baseball in feets at any given time t in seconds.

The graph represents the situation, where measurements are rounded to the nearest tenths place, if necessary.

[ see below ]

What does the vertex of (1.131 , 25.376) mean in the context of the situation?

Select all that apply.

a) The baseball reaches a distance of 25.376 feet from Ace's hand.
b) The baseball reaches its maximum height 1.131 second after it's thrown.
c) The baseball reaches its maximum height 25.376 seconds after it's thrown.
d) The baseball lands 25.376 seconds after it's thrown.
e) The maximum height of the baseball is 25.376 feet.
f) The baseball reaches its maximum height 1.131 minutes after it's thrown.

Answer 1

The vertex of the quadratic function represents the maximum height reached by the baseball and the time it takes to reach that height.

Step-by-step explanation:

The vertex of the quadratic function
`h(t)=-16t^2+36.2t+4.9` is (1.131, 25.376).

In the context of the situation, the vertex represents the maximum height reached by the baseball and the time it takes to reach that height.

Thus, the correct answers are:

The baseball reaches its maximum height 1.131 second after it's thrown.

The maximum height of the baseball is 25.376 feet.