Answer:
Step-by-step explanation:
think of the flight of a small rocket.. what does it seem like the parabola would look like? down means it looks like a cup or glass , upside down , up mean a cup or glass right side up.
when t = 0 the rocket is at 25, so that's the initial height
it's velocity is initially 200 m/s
put equation from std. form to vertex form
y = a + bx +c => y = a(x - h ) ^2 + k
h = -4.9 + 200t + 25 =>h = -4.9(t - 20.41)^2 + 2,065.82
(h,k) = (20.41 , 2065.82)
The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)
<h3>How to interpret Cycle Graphs?</h3>
From the diagram attached, we can say that;
Period = 2π/k
where;
k = 2π/2.25
k = 8π/9
Thus;
h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)
h(t) = -24cos (8π/9)t + 24.5
Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;
41 = -24cos (8π/9)t + 24.5
41 - 24.5 = -24cos (8π/9)t
16.5 = -24cos (8π/9)t
-0.6875 = cos (8π/9)t
cos⁻¹0.6875 = (8π/9)t
t = 0.834 min
Thus, time interval is between;
0.834 < t < (2.25 - 0.834)
⇒ 0.834 < t < 1.416 and
(2.25 + 0.834) < t < (2.25 + 1.416)
⇒ (3.084, 3.666)
Read more about Cycle Graphs at; brainly.com/question/24461724
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