Answer: C. The pumpkin's maximum height is 184.27 feet and it hits the ground after 6.67 seconds
Step-by-step explanation:
Since, the given function that shows the height,
------- (1)
Where x is the time in seconds.
Since, the given function is a parabola,
Therefore the maximum height of the parabola is found at the vertex.
And, the vertex of the parabola =
Where a is the coefficient of and b is the coefficient of x.
Thus, the vertex of the given parabola =
Therefore, the maximum height of the pumpkin = feet ≈ 184.27 feet
Now, the pumpkin hits the ground when f(x)= 0,
⇒
⇒ x = 6.675 seconds ≈ 6.67 seconds
Thus, Option C is correct.