The velocity of a ball thrown upward into the air is given by v(t)= -32t+96 where t is measured in seconds and velocity v in feet per second calculate the displacement of the ball between t=1 and t=4

Answers

Answer 1

Answer:

The displac ment between t = 1 and t = 4 is 272 feet

Step-by-step explanation:

To get the displacement of the ball, we first need to get the equation for the position of the ball with respect to time.

We can do this by differentiating the velocity equation given:

v(t) = -32t +96

integrating between the limits of t = 1 and t = 4, we have

[tex]s = \int\limits^4_1 {-32t +96} \, dt[/tex]

[tex]s(t) = -32t^2/2 +96t[/tex]

[tex]s =[ -16t^2 +96t] t = 4, t =1[/tex]

where t = 4.

s = 256 + (96) =352 feet

Where t = 1

s = 80

Displacement of the ball = 352 -80 = 272ft

The displac ment between t = 1 and t = 4 is 272 feet


Related Questions

Item 3 There is a 40% chance that weather causes one or more days of school to be canceled each year. Use the table of simulated values to find the experimental probability that weather will cause a school to be canceled in at least three of the next four school years. Use the digits 1 through 4 as years with a cancellation.

The experimental probability is____%

Answers

Answer:

16%

Step-by-step explanation:

WILLL GIVE BRANLIEST PLSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

100°

Step-by-step explanation:

If my calculations are correct, I suppose the final answer will be 100 degrees.

If you see it, It's clearly mirrored.

A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.

Answers

Answer:

a=23 b=12 c=12/23

Step-by-step explanation:

I just did it on EDG, got it wrong so i could give you the answer XD

The likelihood that a randomly chosen consumer on plan B would text on the phone the most frequently is 13/23.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

According to the given data,

Number of customers on plan B = 13 + 10 = 23

Number of customers on plan B who text = 13

P(text|plan B) = P(text and plan B) / P(plan B),

where P(text and plan B) is the probability of a customer being on plan B and texting, and P(plan B) is the probability of a customer being on plan B, can be used to calculate the likelihood that a randomly chosen customer on plan B will text the most.

So,

P(text|plan B) = 13/23

Therefore, the probability that a randomly selected customer who is on plan B uses the phone most often to text is 13/23.

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What is the total surface area of this square pyramid?
204 cm2
384 cm2
72 cm2
240 cm2​

Answers

Answer: 384 cm²

Step-by-step explanation:

Took test

Answer:

Answer: 384 cm²

Step-by-step explanation:

LINKS = reported ,, anyways I’ll give brainliest if ur right
Find the volume of this sphere.
Round to the nearest tenth.
7in
Formulas for Spheres
S.A. = 41112
Varr
? 1 in 3

Answers

Answer:

1436.02

Step-by-step explanation:

What is the speed of a wave that has a wavelength of 2m and frequency of 1.5 Hz?
Doc Below

Answers

Speed =wavelength x frequency
= 2x1.5 = 3m/s

Find the volume of the cone in terms of pi.
405TT cm3
324TT cm3
72TT cm3​

Answers

Answer:

324πcm³

Step-by-step explanation:

Volume=⅓πr²h

⅓*π*9²*12

=324πcm³

How many solutions can be found for the equation 12x + 8 = 10x + 18? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely Many

Answers

Answer:

b

Step-by-step explanation:

Given

12x+ 8 = 10x + 18 ( subtract 10x from both sides )

2x + 8 = 18 ( subtract 8 from both sides )

2x = 10  ( divide both sides by 2 )

x = 5

The equation has one solution

Answer:

B

Step-by-step explanation:

verification

12 x 5 + 8 = 10 x 5 + 18

68= 68

since the answer is 68

it is the only one answer that you can get

Can someone please help me with math.

Answers

The answer is B, Graph B is the linear graph

What is the value of variable for -4(y - 2) = 12
Explain please

Answers

Answer:

-4(y - 2) = 12

Standard form:

−4y − 4 = 0

Factorization:

−4(y + 1) = 0

Solutions:

y = −4

4

= −1

Step-by-step explanation:

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

None of the given sides or angles are congruent, so they are not congruent.

can anyone help me, i need like 6 more of these i’ll mar brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2 Squareroot(2)

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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I just answered so you could give this person brainliest

Find the measure of angle b

please help:)

Answers

See photo. Hope it helps

(1/2a - 1/3b) - (1/3b - 1/2a)

Answers

Answer:

a- 2b/3

Step-by-step explanation:

1) Remove the parentheses and combine like terms

The area of a trapezoid is (1/2)h(b1 + b2). A trapezoid has an area of 50 in2. If the bases are 12 and 8 inches, what is the height?

Answers

Answer:

5 in.

Step-by-step explanation:

Given that

b1 = 12

b2 = 8

A = 50

Formula is (1/2)h(b1 + b2), on substituting

50 = 1/2 * h(12 + 8)

50 = 1/2 * h(20)

100 = 20h

h = 100/20

h = 5

The height is 5 in

Plzzz help!!! ill givee brainliest!!!!

A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) a 2 was not multiplied by x b 2 was not multiplied by 5 c Incorrect sign was used for the first term d Incorrect sign was used for the second term

Answers

Answer:

b) 2 was not multiplied by 5

Step-by-step explanation:

Correct answer: 2x + 10

How do you find percentages?​

Answers

For example if you have a decimal, let’s say 0.225, you multiply it by 100 and that would equal to 22.5. This means that your percent is 22.5%

Step-by-step explanation:

if you have 3/4 you divide the part, 3, by the whole, 4

3 ÷ 4 = 0.75

then multiply 0.75 by 100, 75, then add a percentage sign: 75%

What is the area, in square meters, of the isosceles trapezoid below? 15.8 m 5-4 m 6.6 m Answer: A = ____ m squared​

Answers

Answer:

5.618773 m2

I hope that this is the answer.

Answer:

answer is 60.48 m squared

Step-by-step explanation:

use the formula

a=1/2(b1+b2)h

a=1/2(15.8+6.6)h

a=1/2(22.4*5.4)

a=1/2(120.96)

a=120.96/2

a=60.48m

Find the value of x

Answers

Answer:

[tex]\frac{9\sqrt{2} }{2}[/tex]

Step-by-step explanation:

This particular case is a sine operation.

sin(45°) = [tex]\frac{x}{9}[/tex]

9sin(45°) = x

Plug into a calculator and you get:

x = [tex]\frac{9\sqrt{2} }{2}[/tex]

Number 8 please help 10 points no links pleAse

Answers

The answer is A (3). In the question you are given a list of numbers, these are the results from the science project. In the list, the number 12 appears 5 times, therefore 5 dots are added above the number 12 on the dot plot. 11 appears once, 13 appears 3 times, 14 appears 3 times and 15 appears three times. Hope this helps.

convert 5 cubic miles to cubic feet

Answers

Answer:

7.36e+11

Step-by-step explanation:

Factor out the GCF from the given polynomial. 10^3 + 16^2 - 18x 10^3 + 16^2 - 18x = (Type your answer in factored form.)​

Answers

Correct question is;

Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)​

Answer:

GCF = 5x² + 8x - 9

Step-by-step explanation:

The given polynomial is;

10x³ + 16x² - 18x

First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.

The greatest number is 2.

Secondly let's inspect the variables to see what we can factor out.

They all contain x. Thus, x is a factor.

Thus, we will divide each term by 2x to obtain the GCF of the polynomial.

GCF = (10x³/2x) + (16x²/2x) - (18x/2x)

GCF = 5x² + 8x - 9

a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man

Answers

108 cubes would be needed to fill the prism

Factor by grouping plss help

Answers

Answer:

(5 x + 7)(x^2 + 3)


The sketch shows part of the graph y=ab^x

Answers

Answer:

a = 3, b = 2

[tex]y = 3\cdot 2^x[/tex]

Step-by-step explanation:

[tex]y = ab^x\\3 = ab^0\\12 = ab^2\\~\\3=ab^0=a\cdot 1 = a\\a = 3\\~\\12 = ab^2 = 3b^2\\4 = b^2\\b = 2 \vee b = -2[/tex]

but we know from the graph being defined and positive, that b cannot be -2

b = 2

The value of a is 3 and value of b is 2.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The graph is y=abˣ

The points with coordinates (0, 3) and (2, 12) lie on the graph.

We need to find the values of a and b.

The point (0, 3)

3=ab⁰

a=3

Now point (2, 12)

12=ab²

Now plug in a value as 3

12=3b²

Divide both sides by 3

12/3=b²

4=b²

b=2

Hence, the value of a is 3 and value of b is 2.

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Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms interior 24, measuring 35°. What is the measure of
272
Main
Oak
4 (35)
5
6
Elm
O A. 145°
B. 135
C. 35
D. 45°

Answers

the answer is a. 145° because a line will always equal 180° so just subtract 180-35 and you get 145°! hope this helped :)

It’s due in 2 minutes

Answers

Answer:

m a t h w a y

Step-by-step explanation:

Don drives his car 25 km east and then 312 km south. How far is he from his starting point? Round to the nearest tenth.

Answers

243000pppppppppppppppp

Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.

Answers

The polygons name is an octagon and is not a regular polygon

The Martins' swimming pool is a square
and is in the center of a square plot that
is 34 meters on a side. They have 1,092 square meters of lawn.
How long is one side of the pool ?

Answers

Answer: 8

Step-by-step explanation:

x^2 = (34•34)-1,092

x^2= 1,156-1,092

x^2= 64

x=8

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