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WendigoMeow
31.03.2020 •
Mathematics
A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car during the drop is modeled by the function, h(t)=10t2−40t+80 , where t is measured in seconds since the car started its decline. The model is accurate for 0≤t≤4 . On this portion of the ride, how long does the car take to reach a minimum height from the ground before rising again?
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Ответ:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Ответ:
If the question is what fraction of the circle is shaded, your answer is 3/16.
Step-by-step explanation:
1 x 3 = 3
4 x 4 = 16
so, 3/16