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AfilCa [17]
2 years ago
14

Solve by using Vertical Velocity model: h=-16t^2+vt+s

Mathematics
1 answer:
Lady bird [3.3K]2 years ago
5 0

An equation that models the height of the ball as a function of time t is; h(t) = -16t² + 40t + 3. The maximum height that the ball will reach is 28 ft

<h3>How to Solve the Vertical velocity model?</h3>

We are given the equation for the vertical velocity model as;

h = -16t² + vt + s

Where;

v = velocity

s = starting height

h = ending height

t = time

A) From the question, we have;

v = 40 ft/s

s = 3 ft

Thus, the equation is;

h = -16t² + 40t + 3

B) To find the time that the ball reaches its maximum height, we will equate the height equation to zero and find the roots. Thus;

-16t² + 40t + 3 = 0

Using an online quadratic equation calculator gives;

t = 2.573 s

C) The maximum height that the ball will reach is;

h'(t) = -32t + 40

At h'(t) = 0;

-32t + 40 = 0

32t = 40

Thus;

t = 1.25 s

Max height = -16(1.25)² + 40(1.25) + 3

Max height = 28 ft

D) The height of the ball after 2 seconds is;

h(2) = -16(2)² + 40(2) + 3

h(2) = 19 ft

E) Time for the ball to hit the ground is;

T = 2 * 2.573

T = 5.146 s

Read more about Vertical Velocity Model at; brainly.com/question/27526920

#SPJ1

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Those are the locations of the points on the graph. If you look closely, you will see that it counts by twos.

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step-by-step explanation:

Looking at the example and using place value system

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Alina has 15x + 12 yards of ribbon. She uses 6x - 3 yards for a project. How many yards does she have left?
Andrews [41]

Answer:

-1.66666666667 yards

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8 0
3 years ago
For f(x) = x3 – x2, which gives an output of 48?<br> O f(-8)<br> O fl-4)<br> O f(4)<br> O f(8)
Misha Larkins [42]

Answer:

f(4)

Step-by-step explanation:

The output is the value of f(x) for a given value of x ( the input )

Substitute the given values of x into f(x) to determine the output, that is

f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48

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Thus f(4) gives an output of 48

4 0
2 years ago
Read 2 more answers
A survey of 90 men found that an average amount spent on St. Patrick's day of $55 with a standard deviation of $18. A similar su
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Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

The population standard deviations are not known.

So a <em>t</em>-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }

Given:

\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86

Compute the value of the test statistic as follows:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70

Thus, the value of the test statistic is 4.70.

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