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exis [7]
3 years ago
9

If a ball is thrown straight up into the air with an initial velocity of 100 ft/s, it height in feet after t second is given by

y = 100t – 16.
a.) Find the average velocity for the time period begining when t = 2 and lasting for the given amount of time.

0.5 seconds


(ii) 0.1 seconds.


(iii) 0.01 seconds.


b.) Based on the above results, guess what the instantaneous velocity of the ball is when t = 2 seconds.
Answer:
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

11 0.1 seconds

Step-by-step explanation:

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A force of 3 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is
ioda

The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound

<h3>Data obtained from the question</h3>

From the question given above, the following data were obtained:

  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Work done (Wd) =?

<h3>How to determine the spring constant</h3>
  • Force (F) = 3 pounds
  • Extension (e) = 0.6 feet
  • Spring constant (K) =?

F = Ke

Divide both sides by e

K = F/ e

K = 3 / 0.6

K = 5 pound/foot

Thus, the spring constant of the spring is 5 pound/foot

<h3>How to determine the work done</h3>
  • Spring constant (K) = 5 pound/foot
  • Extention (e) = 0.7 feet
  • Work done (Wd) =?

Wd = ½Ke²

Wd = ½ × 5 × 0.7²

Wd = 2.5 × 0.49

Wd = 1.23 foot-pound

Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound

Learn more about spring constant:

brainly.com/question/9199238

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5 0
1 year ago
Do you know how do this because I need help?
Vinil7 [7]

Answer:

Its C

Step-by-step explanation:

7 0
3 years ago
6x - 2(x + 4) = 6 + 2x
Minchanka [31]

Answer:7

Step-by-step explanation:

Simplifying, 6x-2x-8 = 6 + 2x

4x -8 = 6 + 2x

2x =14

x=7

4 0
3 years ago
Read 2 more answers
Which of the following sets shows all the numbers from the set {1, 2.5, 3, 4.5, 5} that make the inequality 3a + 4 ≥ 13 true?
zmey [24]
3(1)+4<span>≥ 13
7</span><span>≥ 13 
No

3(2.5)+4</span><span>≥ 13
11.5</span><span>≥ 13
No

3(3)+4</span><span>≥ 13
13</span><span>≥ 13
Yes

{3, 4.5, 5}</span>
3 0
3 years ago
Read 2 more answers
Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have
Kazeer [188]

Answer: The proportion of employees who either have MBAs or are managers are 0.58.

Step-by-step explanation:

Since we have given that

Probability of employees having managerial positions = 67%

Probability of employees having MBA degrees = 58%

Probability of managers having MBA degrees = 67%

So, using probability formulas, we get that

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58

Hence, the proportion of employees who either have MBAs or are managers are 0.58.

7 0
3 years ago
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