Question

a soccer ball is kicked upward from a hill and then falls to the ground. the height, in feet, of the ball after \\(t\\) sec is modeled by the function \\(h(t) = -16t^2 + 26t + 12\\). what is the initial height of the ball?

-16 ft
-12 ft
12 ft
22 ft

Explanation:

Identify the initial condition

$$ t = 0 $$

Evaluate the height function at the initial time

$$ h(0) = -16(0)^2 + 26(0) + 12 = 12\text{ ft} $$

Answer:

• -16 ft
• -12 ft
• 12 ft (Correct answer)
• 22 ft