The horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
<u>Explanation:</u>
Given:
h(x) = -0.026x² + 0.563x + 3
where,
h(x) is the height of the water
Initial speed, u = 14m/s
angle, θ = 30°
(a)
Horizontal distance = ?
h(x) = ax² + bx + c
the vertex is found at x = -b/2a
where,
x = distance to the maximum height
As compared to the equation given:
a = -0.026
b = 0.563
Thus,

Therefore, horizontal distance from the firefighter at which the maximum height of water occurs is 10.83m
Answer:
j. Pam, Tia, Veronica, Lily (if it's youngest to oldest)
Step-by-step explanation:
If Tia is 8 yrs old and she's 2 yrs older than Pam, then Pam must be 6 yrs old. Pam si 5 yrs younger than Veronica who must be 11 + 4 = 15.
Tia: 8 yrs.
Veronica: 11 yrs
Pam: 6 yrs.
Lily: 15