Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second. The function h(t)= -16t^2+96t gives the height, in feet, of the soccer ball after t seconds. The function is shown in the graph below. What are the intercepts of the function and what do they mean?

Suppose Paul kicks a soccer ball straight up into the air with an initial velocity of 96 feet per second The function ht 16t296t gives the height in feet of the class=

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Answer:

(d)

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 96t[/tex]

Required

The intercepts

The x intercepts are where the graph crosses x axis.

From the attached plot, they are:

[tex]x = (0,0)[/tex] and [tex]x = (6,0)[/tex]

These represent the start and end of the ball that is launched.

Hence, (d) is true