All categories

2 years ago

5. The Riverside Geyser in Yellowstone National Park erupts

Mathematics

1 answer:

Anastasy [175]2 years ago

4 0

Answer:

Step-by-step explanation:

The equation for the model of the geyser is found by substituting the given upward velocity into the vertical motion model. The problem statement tells us v=69. We assume the height is measured from ground level, so c=0. Putting these values into the model gives ...

h(t) = -16t² +69t

The maximum height is at a time that is halfway between the zeros of the function.

h(t) = -16t(t -4.3125) . . . . . has zeros at t=0 and t=4.3125

The maximum height will occur at t=4.3125/2 = 2.15625 seconds. The height at that time is ...

h(t) = -16(2.15625)(2.15625 -4.3125) = 16(2.15625²) ≈ 74.39 . . . feet

The maximum height of the geyser is about 74.4 feet.

You might be interested in

Help I do not understand how to find the area of circles

kupik [55]

The formula for the area of a circle is a = <span>πr², r being the radius.

To tackle this problem, find the area of the square and then subtract the area if the circle:

Area of square = 20 * 20 = 400
Area of circle = </span><span>π(10)² = 100</span><span>π = 314

Area of square - area of circle = 400 - 314 = 86 m²

Hope this helps!
</span>

7 0

3 years ago

Given a circle with a radius of 6, what the the length of an arc measuring 30 degrees

Mazyrski [523]

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=6\\
\theta =30
\end{cases}\implies s=\cfrac{30\cdot \pi \cdot 6}{180}\implies s=\pi$

6 0

4 years ago

Carter Road his bike 9/10 of a mile from his house to his grandmothers house. On his way back home, he rode 3/8 of a mile before

jek_recluse [69]

Answer:

Step-by-step explanation:

Carter rode his bike 9/10 of a mile from his house to his grandmothers house. This means that the distance from Carter's house to his grandmother's house is 0.9 miles. On his way back home, he rode 3/8 of a mile before the tyre on his bike went flat. This means that he rode 0.375 miles before his tyre went flat. The distance he must walk before he gets home will be the total distance from home minus the distance that he rode. It becomes

0.9 - 0.375 = 0.575 miles

3 0

3 years ago

What is the value of a in the equation 5a – 10b = 45, when b = 3?

lara31 [8.8K]

Here you go. Do you think that you could help me with my question

5a – 10b = 45
5a – 10(3) = 45
5a – 30 = 45
+30 +30
5a = 75/5
<span>a = 15</span>

8 0

3 years ago

Read 2 more answers

How do you convert 17 cmon minute to miles an hour

eimsori [14]

Answer:

0.006 miles per hour

Step-by-step explanation:

We are given;

Speed in cm per minute ( 17 cm per min)

We are required to convert cm per minute to miles an hour

we need to know that;

1 miles = 160934 cm

1 hour = 60 minutes

We can convert 17 cm to miles and 1 minute to hours

17 cm = 17 ÷ 160934 cm

= 17/160934

1 minute = 1/60 hour

Therefore;

In miles per hour;

= (17/160934) ÷ (1/60)

= 0.00634 miles per hour

= 0.006 miles per hour

Therefore, 17 cm per minute is equivalent to 0.006 miles per hour

4 0

3 years ago