The distance traveled by a snowball thrown straight down from the top of a bluff can be calculated with the equation d=ut+12gt2, where d is the distance traveled in meters, u is the initial velocity in meters per second, t is the time in seconds, and g is the acceleration due to gravity, which is 9.8ms2. If the snowball traveled 200 meters in 5 seconds, what was its initial velocity?

Answers

Answer 1

Answer:

15.5 m/s

Step-by-step explanation:

Using the equation, d = ut+1/2gt² where all the variables have meaning as given above, making u subject of the formula, we have

d = ut+1/2gt²

d - 1/2gt² = ut

d/t - 1/2gt²/t = u

u = d/t - 1/2gt

Since d = 200 m, t = 5 s and g = 9.8m/s², substituting the values of the variables into the equation, we have

u = d/t - 1/2gt

u = 200 m/5 s - 1/2 × 9.8m/s² × 5 s

u = 40 m/s - 49 m/s ÷ 2

u = 40 m/s - 24.5 m/s

u = 15.5 m/s

So, the initial speed of the snowball is 15.5 m/s

Related Questions

Find the value of x and the value of y.
A. x = 130, y = 50
B. x = 135, y = 45
C. x = 140, y = 40
D. x = 145, y = 35

Answers

Answer:

B. x = 135, y = 45

Step-by-step explanation:

x° + y° = 180° {suplementary angles}

x° = 3y° {corresponding angles by parallel lines}

So:

3y° + y° = 180°

4y° = 180°

y° = 45°

y = 45

x° = 3×45° = 135°

x = 135

*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft

Answers

1 inch equals four 4 because 32 divided by 4 is 8 and 40 divided by 4 is 10

Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.

Answers

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

Evaluate the expression 42 + 5/9y

Answers

Combine
5
9
5
9
and
y
y
.
42
+
5
y
9

HELP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation: set the two equations equal to each other. 5-2x=-4x+9 and you'd get x=2. insert 2 into the expression, and you'd get 1. to find the perimeter, a triangle has 3 sides. 1+1+1 =3

Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

Answers

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

Learn more about Similar Figures:

https://brainly.com/question/11315705

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Pls help I’m being timed

Answers

I believe it’s B and not c

38 < 4x - 10
help me out plz n ty

Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

38 + 10 < 4x

48 < 4x

48/4 < x

12 < x

i need help can someone help me

Answers

Answer:

D) infinite real solutions

Step-by-step explanation:

-6(5x+10) = -3(10x+20)

-30x-60 = -30x-60

simplifying:

x=x

Use complete sentences to describe why postulates are helpful.

Answers

Postulates are statements that are assumed to be true with out proof

f(x) = 5x^2 + 14
g(x) = 4x + 8
What is f(g(-8))?

Answers

Answer:

it is 24

Step-by-step explanation:

i did andn i got 1000

Please help! I could fail if I don’t get theese right

Answers

Answer:

b ruh its c

Step-by-step explanation:

Answer:

Step-by-step explanation:

are 2x3 and 4x4 like or unlike terms

Answers

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation:

The Fun Guys game rental store charges an annual fee of $5 plus $5.50 per game

rented.

The Game Bank charges an annual fee of $11 plus $2.50 per game.

For how many game rentals will the cost be the same at both stores?

Answers

Answer:

2 games

Step-by-step explanation:

Given data

The Fun Guys game

charges annual fee of $5 plus $5.50 per game

let the number of games be x

and the total charges be y

The expression for the total is

y=5+5.5x---------------1

The Game Bank

charges an annual fee of $11 plus $2.50 per game.

y=11+2.5x---------------2

Equate 1 and 2 above

5+5.5x=11+2.5x

collect like terms

5.5x-2.5x= 11-5

3x= 6

divide both sides by 3

x= 6/3

x= 2

It will take 2 games

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

Answers

It is true it is a known and common fact

In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.

Answers

Answer:

1374

Step-by-step explanation:

delta math

The length of the side k in the given triangle is 1,373.9 cm.

What is cosine law?

The law of Cosines, also known as Cosine Rule or Cosine Formula basically relates the length of the triangle to the cosines of one of its angles.

Given that, in ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°, we need to find the length of side k,

Using the cosine law,

k² = l²+m² - lmCos169°

= 820²+560²-(820)(560)cos169°
= 1,373.9

Hence, the length of the side k in the given triangle is 1,373.9 cm.

Learn more about cosine law, click;

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Write System of Equations from Context

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answers

Answer:

x and y

Step-by-step explanation:

I need help with this

Answers

All you have to do is cross multiply!

Ur answer to the first one is 9/10

Ur answer to the second ine is 4/5

Answer:

Step-by-step explanation:

Write the equation of a vertical line running through the point (-2,-10)

Answers

Equation would be x=-2. That creates a vertical line where all x values are -2 and therefore inclusive of (-2,-10).

find the common difference of the arithmetic sequence -2,-4,-6

Answers

Answer:

-2

Step-by-step explanation:

-4-(-2) = -2

-6-(-4) = -2

Sue washes 25 cars in 5 hours. This means Sue washes cars per hour

Answers

Answer:

she washes 5 cars per hour

Answer:

Sue washes 5 cars an hour

Step-by-step explanation:

25/5 = 5 cars an hour

Plz help me I will give you brainliest and 10 points

Answers

Answer:

0.08522

Step-by-step explanation:

What’s the answer laaalalalalalaaaaaa

Answers

Answer: The slope is -1/2, the y-intercept is 4, and the equation is y=-1/2x+4

Step-by-step explanation:

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))

Answers

Answer:

Answer below

Step-by-step explanation:

I really hope it works

What is the solution to the equation? 13 3/4+X= 7 1/ 4

Answers

Answer: x=-6 1/4

Step-by-step explanation:

ratio of width to length is 2:3 if the length 18 meters what is the width

Answers

Answer:

Step-by-step explanation: 18/3=6 6(2)= 12

If ya dont mind can u help me .....thanks

Today 108 people visited a water park during the first hour that the park was open.

This number of people is 40% of the number of people who visited the water park

during the first hour yesterday.

How many people visited the water park during the first hour yesterday?

F 148

G 270

H 292

J 151

Answers

Divide the people who costed today by the percentage:

108/0.40 = 270

The answer is G. 270

if angle KLJ~angle VWU. Find the x value

Answers

Answer:

Step-by-step explanation:

Since angle KLJ~angle VWU are similar :

KL / WV = KJ/ UV

(25 / 20) = (4x - 23 / 2x + 2)

Cross multiply :

25(2x + 2) = 20(4x - 23)

50x + 50 = 80x - 460

50x - 80x = - 460 - 50

-30x = -510

x = 510 / 30

x = 17

A pair of shoes usually sells for $60. If the shoes are 20% off, and sales tax is 7%, what is the total price of the shoes, including tax?

Answers

Answer:

$50.88

Step-by-step explanation:

Adjusted Price without tax = 0.8 * 60,

0.8 * 60 = 48,

With Tax = 1.06 * 48,

1.06 * 48 = 50.88

∴ New Price = 50.88

Answer:

Its $12.84

Step-by-step explanation:

20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!

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