Calculus application

1. Supposed that a ball is dropped from the upper observation deck of the Horizons 101 Tower 1., located
178 m above the ground. (a) What is the velocity of the ball after 5 sec? (b) How fast is the ball traveling
when it hits the ground?

Answers

Answer 1

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s


Related Questions

There are n teams ina league and each team plays each other twice a season. The league plays 182 games. How many teams are in the league

Answers

Answer:

91

Step-by-step explanation:

here's why because from this word problem the equation should be 2n=182 which turns to division so... 182 divided by 2 is 91

Jackson is comparison shopping for orange juice. He created a table to help him decide which package was the best deal.Orange Juice Cost by PackagePackageCostCost per ounce10 oz bottle$1.99$0.19959 oz bottle$3.33$0.056489 oz bottle$4.99$0.0561Case of 2410 oz bottles$34.99$0.145864 oz carton$3.60$0.05625Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?Jackson is correct because he used the length of each decimal to compare the different costs. For example, 0.149 < 0.1457 < 0.05625.Jackson is correct because he compared values in equal place values to compare only the decimals with the same length. For example, 0.0561 < 0.0564 < 0.05625.Jackson is incorrect because he should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.Jackson is incorrect because the case of 24 oz bottles is less per ounce than the 59 oz bottle and the 89 oz bottle. For example, 0.1457 < 0.0561 < 0.0564.

Answers

Answer:

b

Step-by-step explanation:

mark me brainlist

Answer:

b

Step-by-step explanation:

you heard the words from them badkidmikael so if its wrong let me know and ill find the answer

Triangle JKL is isosceles. The measure of angle J is 72° and the measure of angle K is 36°. Which statement describes angle L?

A.Angle L is a base angle and measures 36°.
B.Angle L is a base angle and measures 72°.
C.Angle L is a vertex angle and measures 36°.
D.Angle L is a vertex angle and measures 72°.

Answers

Answer:

Angle L is a base angle and measures 72 degrees

Step-by-step explanation:

Took the test and got a 100%! Hope it helps!!

Answer:

b: Angle L is a base angle and measures 72°.

Step-by-step explanation:

Edge

Jon typed 330 words in 30 minutes.How many words did he type per minute?

Answers

Answer:

Step-by-step explanation:

I believe the answer is 11 words per minute!

✨Hope it helps✨

Brainliest maybe

asap 100 points ✨Given that SABC : ADEF, er, and the ratio of AB to DE is
5
which of the following could be the lengths of BC
and EF?
BC = 4; EF = 6
BC = 3; EF = 9
BC = 3; EF = 10
BC = 3; EF = 12

Answers

i would say it is not the first one i think it might be the second or third one hope this helps and also correct me if i am wrong and if there is a graph to this problem please put it on the comments below so i can better help you because it seems like this type of question would have a graph

Step-by-step explanation:

Answer:

2nd or third

Step-by-step explanation:

What is the parent function of f(×)=x^3+6x^2+8x?

Answers

Answer:

g(x)=x^(3)

Step-by-step explanation:

Simplify the expression.
(2x)(3x)

Answers

Answer:

6x²

Step-by-step explanation:

Answer:

6x^2

6x squared

please help me with this math!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the polynomial function

[tex]f\left(x\right)\:=x^3+2x^2-16x-32[/tex]

Let us determine the factors by solving

[tex]\:\left0\right\:=x^3+2x^2-16x-32\:[/tex]

[tex]\left(x+2\right)\left(x+4\right)\left(x-4\right)=0[/tex]

Using the zero factor principle:

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+2=0\quad \mathrm{or}\quad \:x+4=0\quad \mathrm{or}\quad \:x-4=0[/tex]

Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.

Therefore,

YES

(x+2)(x+4)(x-4)

And (x-2) (x+6) are not the factors of the polynomial function.

Therefore,

YES

(x-2)(x+6)

PLEASE EHELP ME RN!

PLEASE HELp ME
HELP ME

Answers

Answer:

Step-by-step explanation:

Answer:

0-4-9 = -13 or -4-9 = -13

Explanation:

Basically it starts at 0, then it moves to the left of the number line meaning it subtracts. It moves to the left by 4, so it is subtracting 4 from 0. Then it moves to the left again by 9, so you subtract 9 from 0-4

In the end, it is 0-4-9 or you can remove the 0 and be -4-9

Hope this was helpful :)

The answer is -13 jfjfjfjfnfnnfnng

6th grade math I mark as brainliest

Answers

Answer:

D

DDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You have a coupon for 20% off the shoes. Will the cost of the shoes be: MORE THAN $65.95 or LESS THAN $65.95 EXPLAIN

Answers

Answer:

take $65.95 times (0.0825) for the sales tax = 5.44

then, add the tax of $5.44 to the original amount of $65.95 = $75.39

Step-by-step explanation:

Answer: less than $65.95

Step-by-step explanation: because its taking 20% away from $65.95

$65.95 - 20% = $52.76

Evaluate the given expression 2/3+1/9

Answers

i am pretty sure the answer is 7/9

jordan can jog 1/3 of a mile in 1/6 of an hour.what is his speed in miles per hour

Answers

Answer:

The answer is  2 miles per hour

Step-by-step explanation:

Given

distance = 1/3 miles

time taken = 1/6 hour

Required,

The speed with which Jorgan Jogs

Step two:

We know that the formula for the situation is

Speed= distance/time

Speed= 1/3/1/6

Speed= 1/3*6/1

multiply the numerator by the inverse of the denominator

Speed=6/3

Speed= 2 miles per hour

Eric works at the deli on weekends to earn extra money. He makes $10 per hour making sandwiches, and $14 per hour delivering orders. Eric puts half of his total earnings in a savings account for college. He wants to know how much he saves each week Which expression represents the total amount of money Eric saves for working s hours making sandwiches and d hours delivering orders? 1 (10s +14d 2 () This weekend, Eric makes sandwiches for 5 hours and delivers orders for 4 hours. How much money does he save? ) Eric saves $ ? this weekend​

Answers

Answer:

1/2(10s+14d)

he saves $53 this weekend

Step-by-step explanation:

The ratio of red skittles to blue skittles is 2 to 5. If there are
10 red ones, how many are blue?

Answers

25 are blue
hope this helps

It took a car 4 days to travel 3036 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

31.625 rounded up is 32mph

Step-by-step explanation:

if you take how many days it took to travel then there are 24 hours in a day so you would do 24 times 4 which gives you 96.

then you take 3036 and divide that by 96 and you get your answer.

how many repeating digits does n=0.1515 have

Answers

Answer:

it depends on where the line is

Step-by-step explanation:

if the line is over the .15, then two.

Answer:

It has 2 repeating digits.

Step-by-step explanation:

These digits are 1 and 5.

Hope this helps!

The starting salaries of individuals with an undergraduate degree from UC Riverside are normally distributed with a mean of $40,000 and a standard deviation of $5,000. What is the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000?

Answers

Answer:

The probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

Step-by-step explanation:

Let X denote the starting salaries of individuals with an undergraduate degree from UC Riverside.

It is provided that, [tex]X\sim N(\$40,000,\ \$5,000^{2})[/tex]

Compute the value of P (34000 < X < 46000) as follows:

[tex]P (34000 < X < 46000)=P(\frac{34000-40000}{5000}<\frac{X-\mu}{\sigma}<\frac{46000-40000}{5000})\\\\=P(-1.2<Z<1.2)\\\\=P(Z<1.2)-P(Z<-1.2)\\\\=0.88493-0.11507\\\\=0.76986\\\\\approx 0.7699[/tex]

Thus, the probability that a randomly selected individual with an undergraduate degree from UC Riverside will have a starting salary of $34,000 to $46,000 is 0.7699.

How much is `10\%` of `10` liters of milk?

Answers

the answer would be 1 liter of milk

Answer:

one

Step-by-step explanation:

The temperatures in two cities are listed below. How many degrees colder is Ottawa?
Ottawa: -11 degrees
New York: 8 degrees

Answers

19 degrees colder !
The answer would be -3

PLEASE HELP ME WITH THIS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!Chrissy is entering a bke
race for charity Her
father pledges $0.80 for
each 0.5 mies she bikes a
Chrissy bikes 18.5 miles,
how much will her father
donate?

Answers

Answer:

0.80 for 0.5 mile

0.80/0.5 for 1 mile

18.5 × 0.80/0.5 for 18.5 mile

Use calculator and you answer will be 29.6

Here it is!

The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a​ 50-lb block of cheese is enough to make 150 large pizzas. Find the constant of proportionality. Use a pencil and paper. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.

Answers

150÷50= 3

Step-by-step explanation:

I got it correctly

The number of gas purchased by four motorist and the corresponding costs are plotted one he coordinate plane. Which of these tables correctly show the ratios of different number of gas to their costs?

Answers

Answer:

4 IS $1

8 IS $2

12 IS $3

16 IS $4

Step-by-step explanation:

On the coordinate plane it would be a number on the top left and point at a bottom number, the top left is the first number and on the bottom is the last number. Hope that helped!

Answer:

D

Step-by-step explanation:

If the fraction 414/x-10 is equivalent to -23 ​, find the value of x. Show your work. Use reasoning to find x.

Answers

Answer:

x = -8

Step-by-step explanation:

Solve for x by getting rid of the fraction.

414/(x-10) = -23

414 = -23(x-10)

414 = -23x + 230

184 = -23x

-8 = x

If the probability is 0.65 that a marriage will end in divorce within 20 years, what is the probability that out of 7 couples just married in the next 20 years
(A) None will be divorced?
(B) All will be divorced?
(C) Exactly 6 will be divorced?
(D) At least 6 will be divorced?

Answers

Answer:

0.00064

0.049

0.185

0.234

Step-by-step explanation:

Using binomial distribution formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 7

(A) None will be divorced?

P(x = 0) : 7C0 * 0.65^0 * 0.35^7

= 1 * 1 * 0.00064339296875

= 0.00064

(B) All will be divorced?

P(x = 7) : 7C7 * 0.65^7 * 0.35^0

1 * 0.04902227890625 * 1

= 0.049

(C) Exactly 6 will be divorced?

P(x = 6) : 7C6 * 0.65^6 * 0.35^1

7 * 0.075418890625 * 0.35

= 0.18477628203125

= 0.185

(D) At least 6 will be divorced?

P(x ≥ 6) = p(6) + p(7)

P(6) = 0.185

P(7) = 0.049

P(x ≥ 6) = 0.185 + 0.049 = 0.234

Hey guys! I am going to be posting multiple questions, but one by one... so be prepared!
14 2/3 x 2 1/2=?

Answers

Answer:

[tex]\frac{110}{3}[/tex]    or     [tex]36\frac{2}{3}[/tex]

Step-by-step explanation:

Help me FAST PLEASEEEE

Answers

1. shade right, open circle

2. no shade, solid circle

3. shade right, solid circle

4. shade left, solid circle

5. no shade, solid circle

6. shade left, solid circle

7. shade left, open circle

8. shade right, solid circle

9. shade left, open circle

10. no shade, solid circle

How many quarts can Gloria fill with one gallon of milk?

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

There are 4 quarts in one gallon

Henry earned $596.45 for working 32 hours. What is Henry's hourly wage? Round to the nearest cent.

Answers

Answer:

18.64

Step-by-step explanation:

Order the numbers from least to greatest.
-4/3, -1, 0, 2/3, 4/5, 6, 9
PLS HELP

Answers

Answer:

-4/3, -1, 0, 2/3, 4/5, 6, 9. They were already in the correct order.

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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