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yan [13]
3 years ago
8

A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per secon

d. What is the maximum height, in feet, the ball will attain?
Mathematics
2 answers:
ruslelena [56]3 years ago
7 0
The equation for height as a function of time can be written as
.. h(t) = -16t^2 +110t +2
.. = -16(t^2 -55/8t) +2
.. = -16(t^2 -55/8t +(55/16)^2) +2 +55^2/16 . . . . . complete the square
.. = -16(t -55/16)^2 +191 1/16 . . . . . . . . . . . . . . . . . . vertex form

The maximum height the ball will reach is 191 1/16 feet.
vovangra [49]3 years ago
5 0
Answer: 190.0 ft

Explanation:

Data:

- motion: vertical launch upward
- Yo = 2 feet
- Vo = 110 ft / s
- Y max = ?

Formula:

Vf = Vo - g*t
Yf = Yo + Vo*t - g*(t^2)/2

Solution

1) Ymax => Vf = 0

2) Vf = 0 = Vo - gt => t = Vo / g

g = 32.174 ft /s^2

t = [110 ft/s ] / (32.174 ft/s^2) = 3.419 s

3) Yf = Ymx = 2ft + 110ft/s * 3.419s - (32.174 ft/s^2) (3.419s)^2 / 2 = 190.0 ft

Answer: 190.0 ft
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Step-by-step explanation:

Information given:

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Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,

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Let Diagonal = D,

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Step-by-step explanation:

Since Mariam and Sana are excited that a new store just opened in town, and they go together the first day it opens, and each time Mariam goes to the store she plans to spend Rs. 30, and each time Sana goes to the store she plans to spend Rs. 50, and a few weeks from now, Mariam and Sana are surprised to find out that they have spent the exact same total amount of money at the store, to determine what is the least possible number of times that Mariam has been to the store the following mathematical reasoning has to be done:

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