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Natali5045456 [20]
3 years ago
7

The equation for a projectile's height versus time is h(t)=-16t^2+Vt+h. 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 second. what is the maximum height, in feet, the ball will attain?

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

The maximum height  is 191.063 ft

Step-by-step explanation:

We can easily solve this question by plotting the graph of the equation below

h(t)=-16t^2+Vt+h

Where

h = initial height = 2ft

V = initial speed = 110 ft/s

t = time in seconds

Please, see attached image below

The maximum height corresponds to

191.063 ft

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Steph,andra,emily,and becca are planning a road trip from their hometown to san antonio
morpeh [17]

Answer:

a. Emily should begin her turn as the third driver at point (1, -0.5).

b. Emily's turn to drive end at point (-2.5, -3.75).

Step-by-step explanation:

Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:

Hometown

H(x,y) = (8,6)

San Antonio

T(x,y) = (-6,-7)

Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:

Steph

S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)] (1)

S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)]

S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)

S(x,y) = (4.5,2.75)

Andra

A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)] (2)

A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)]

A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)

A(x,y) =(1, -0.5)

Emily

E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)] (3)

E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)]

E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)

E(x,y) = (-2.5, -3.75)

a. <em>If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver? </em>

Emily's beginning point is the Andra's stop point, that is, A(x,y) =(1, -0.5).

Emily should begin her turn as the third driver at point (1, -0.5).

b. <em>At what point does Emily's turn to drive end?</em>

Emily's turn to drive end at point (-2.5, -3.75).

7 0
2 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
eduard
Does it have multiple correct answers?
5 0
3 years ago
Read 2 more answers
joes family has compleated 60% of a road trip. if they have traveld 30 miles, how far is the full road trip?
Tems11 [23]

The full road trip is 50 miles.

Step-by-step explanation:

Given,

Distance traveled by Joe's family = 30 miles

This represents 60% of the total distance to be traveled.

Let,

x be the total distance.

60% of x = 30

\frac{60}{100}*x=30\\0.6x=30

Dividing both sides by 0.6

\frac{0.6x}{0.6}=\frac{30}{0.6}\\x=50\ miles

The full road trip is 50 miles.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

4 0
3 years ago
To round the number to the hundredths place, what should be done first?
Oksanka [162]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
3 1/2 x 2 1/2 as a mixed number in simplest form. if correct you get brainliest
Helga [31]

Answer:

8 3/ 4

Step-by-step explanation:

3 1/ 2

×  

2 1 /2

=      

7 × 5

2 × 2

=  

35 /4

=  

8 3 /4

4 0
2 years ago
Read 2 more answers
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