In many locations, old abandoned stone quarries have become filled with water once excavating has been completed. While standing on a 10.0 m high quarry wall, Clarence tosses a piece of granite into the water below. If Clarence throws the rock horizontally with a velocity of 3.0 m/s how far out from the edge of the cliff will it hit the water?

Answers

Answer 1

Answer:

Explanation:

Let us calculate the time of flight first using the formula;

Velocity = Displacement/Time

Time = Displacement/speed

Time = 10.0/3

Time = 3.33secs

Next is to calculate how far out from the edge of the cliff it will hit the water. To get that, we will use the equation of motion;

S= ut+1/2gt²

u is the initial velocity = 0m/s

g is the acceleration due to gravity = 9.81m/s

S = 0 + 1/2(9.81)(3.33)²

S = 4.905*3.33*3.33

S = 54.39m

Hence it will hit the water at 54.39m from the edge of the cliff

Answer 2

Answer:

It will hit the water at [tex]4.28m[/tex] off the cliff

Explanation:

Applying kinematic relations along vertical direction

[tex]y = V_0t + \frac{1}{2}a_yt^2[/tex]

where,

[tex]a_y = g[/tex]

therefore,

[tex]y = 0 + \frac{1}{2}gt^2[/tex]

The time taken

[tex]t = \sqrt{\frac{2y}{g}}\\\\t = \sqrt{\frac{2*10}{9.8}}\\\\t = 1.428s[/tex]

The horizontal distance

[tex]x = V_yt\\\\x = 3*1.428\\\\x = 4.28m\\\\[/tex]

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Related Questions


1. How should Rick correct his technique?
2. Are these students behaving appropriately? If not, what should they
be doing differently?
the guy on the left is rick , the girl in the middle is sarah, and the guy on the right is Andrew.

Answers

Answer:

1) Rick should be taking and gathering the gas with his hand towards his face gently to get just a whiff.

2) These students are doing the complete opposite of what should properly be done. Andrew shouldn't be drinking any chemicals that don't belong in his body. Sarah shouldn't be throwing whatever chemicals into a mixture, this can cause a lot of possible danger. Rick shouldn't be directly smelling the gas which can also be harmful. Rick needs to be wearing gloves and smell the gas in a proper way. Sarah should wear goggles and pay attention to what she is mixing. Andrew should be wearing gloves and goggles and shouldn't be drinking the chemical.

Joe walked 1200m East and then turned and walked 600m West. Which statement is true about Joe’s walk

Answers

Answer:

which statement is true about his walk? he walked 1200m then went back 600m

Explanation:

because he walked 1200m east the 600m west so it adds up to 600

An advertising balloon shaped like a giant soda can is 15 feet tall and 7 feet wide. How many cubic feet of helium will be needed to fully inflate the balloon?

Answers

Answer:

576.975 cubic feet of helium will be needed to fully inflate the balloon

Explanation:

To determine how many cubic feet of helium will be needed to fully inflate the balloon, we will determine the volume of the balloon.

From the question,

The balloon is shaped like a giant soda can.

A giant soda can is cylindrical.

Hence, we can determine the volume of the balloon shaped like a giant soda can by using the formula for finding the volume of a cylinder.

The formula for finding the volume of a cylinder is

V = πr²h

Where V is the volume of the cylinder

π is a constant (Take π = 3.14)

r is the radius of the cylinder

and h is the height of the cylinder

From the question, the balloon is 15 feet tall and 7 feet wide

Hence,

Height, h = 15 feet

Width = 7 feet

(NOTE: The width of a cylinder is the same as the diameter)

Then, diameter = 7 feet

Radius, r is given by

Radius = Diameter / 2

Then, Radius = 7 feet / 2 = 3.5 feet

∴ Radius, r = 3.5 feet

Now, for the volume of the balloon,

V = πr²h

V = 3.14 × (3.5)² × 15

V = 3.14 × 12.25 × 15

V = 576.975 cubic feet

This is the volume of the balloon.

Hence, 576.975 cubic feet of helium will be needed to fully inflate the balloon.

A competitive go-cart driver is traveling 32 m/s. He sees a caution flag go up, so he slows at a rate of -1.5 m/s^2 in 10.8 s. What is his final velocity?

Answers

Answer:

15.8 m/s

Explanation:

The following data were obtained from the question:

Initial velocity (u) = 32 m/s.

Acceleration (a) = – 1.5 m/s²

Time (t) = 10.8 s.

Final velocity (v) =?

Acceleration is simply defined as the rate of change of velocity with time. Mathematically, it is expressed as:

Acceleration (a) = [final velocity (v) – initial velocity (u)] / time (t)

a = (v – u) /t

With the above formula, we can obtain the final velocity of go-cart driver as follow:

Initial velocity (u) = 32 m/s.

Acceleration (a) = – 1.5 m/s²

Time (t) = 10.8 s.

Final velocity (v) =?

a = (v – u) /t

– 1.5 = (v – 32) / 10.8

Cross multiply

(v – 32) = –1.5 × 10.8

v – 32 = – 16.2

Collect like terms

v = – 16.2 + 32

v = 15.8 m/s

Therefore, the final velocity of go-cart driver is 15.8 m/s.

what are groups of periodic table

Answers

Explanation:

there are 8 groups of the periodic table

group number one is of the alkali metals

group number two use of the alkaline Earth metals

group number three is known as group (III)

group number for is known as group IV

group number V is known as group V group number six is known as group VI

group number seven is known as halogens

and group number eight is of the noble gases

the periodic table does not have 18 groups as the elements between group III and group IV all known as the transition metals.

Determine the skater's average velocity from t= os to t= 16s. (average velocity is the displacement (final position minus initial position) divided by time elapsed.)

Answers

Answer:

v = 0.5 m/s

Explanation:

The attached figure shows Robin's positions wrt time who is rollerskating down a marked side walk.

We need to find the skater's average velocity from t= os to t= 16s.

Average velocity = displacement/time

Displacement = final postion - initial position

Displacement = (8 - 0) m/s

Displacement = 8 m/s

Time, t = (16 - 0) s

So,

[tex]v=\dfrac{(8-0)\ m}{(16-0)\ s}\\\\v=0.5\ m/s[/tex]

So, the skater's average velocity from t= os to t= 16s is 0.5 m/s.

A truck covers 40.0 m in 7.10 s while uniformly slowing down to a final velocity of 2.05 m/s.
(a) Find the truck's original speed. _______ m/s
(b) Find its acceleration. __________ m/s^2

Answers

Answer:

(A) Original speed= 9.22 m/s

(B) Acceleration= -1.0099 m\s^2

Explanation:

A truck covers 40m in 7.10 secs

The truck slows down at a uniform velocity of 2.05 m/s

(A) The original speed can be calculated as follows

Vo= 2(40)/7.10 - 2.05

= 80/7.10 - 2.05

= 11.2676 - 2.05

= 9.22m/s

(B) The acceleration can be calculated as follows

a= Vf-Vo/t

= 2.05-9.22/7.10

= -7.17/7.10

= -1.0099m/s^2

How many ways (directions) can an object move in 1 Dimension? Can it be still? Can it speed up or slow down?

Answers

Explanation:

Let's assume the 1D is along x - axis.

Then, the object can move in two directions, along +x axis or - x axis, depending upon reference point .

Yes, it can be still, speed up and slow down.

A 1-kg mass is dropped from a third floor window. The acceleration of the mass is found to be 8 m/s2. What is the average force of air resistance? A) 1.8 N B) 7 N C) 8 N D) 9.8 N

Answers

Summary:
m=1kg
a=8 m/s^2
g= 9,8 m/s^2
F(ar)=?


I hope to help you

Which of the following is a common ground water contaminant
A.ozone
B.nuclear waste
C.carbon monoxide
D.fertilizers

Answers

The answer to the question is D:Fertilizers

w many significant figures does the following number have: 100.00210

Answers

Answer:

Number of Significant Figures: 8

The Significant Figures are 1 0 0 0 0 2 1 0

Explanation:

We have that 100.00210 has a 8 significant figure from the rules of Significant figures

8 significant figure

 

From the question we are told

How many significant figures does the following number have: 100.00210

Generally

Non zeros Number are significant

Zeros that are before a none zero a not significant

Therefore

100.00210 has a 8 significant figure from the rules of Significant figures

8 significant figure

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A square sheet of rubber has sides that are 20 cm long. If you stretch it so that the area of the rubber is four times larger, how
long is each of the sides now?
Each side = ____cm

Answers

Answer:

40

Explanation:

The area is 400cm^2 but the area on each side is 40cm.

Physical Science is the study of

Answers

Answer:

Physical science is the study of the inorganic world. That is, it does not study living things. (Those are studied in biological, or life, science.) The four main branches of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

Explanation:

Physical science is the study of the inorganic world. That is, it does not study living things

Distance v. Time
What is the velocity at 1 meters?
4.5
4
3.5
3
2.5
Distance (m)
2.
1.5
1
0.5
0
0
2
6
8
10
Time (s)

Answers

Answer:

4

(m)

2 ( s )

Explanation:

ok...........

What is the IMA of the following pulley system?

Answers

The IMA of pulley system can be defined as the ratio of output force to input force.

And IMA stands for Ideal Mechanical advantage

Answer:

5

Explanation:

A race car accelerates from 0 m/s to 20.0 m/s with a displacement of 35.0 m. What is the vehicle's acceleration?

a 5.7 m/s2
b .84 m/s2
c 6.1 m/s2
d .29 m/s2

Answers

Explanation:

Using Equations of Motion :

[tex] {v}^{2} = {u}^{2} + 2as[/tex]

[tex]a = \frac{{v}^{2} - {u}^{2}}{2s} = \frac{400 - 0}{70} = 5.71msec^{ - 2} [/tex]

Bacteria prefer a dry environment to a damp or moist environment. False True

Answers

Answer:

false

Explanation:

cause bacteria prefers moist and damp environment

Answer:

False

Explanation: bacteria thrive on moister and grow due to it. if the enviroment they were in were to be dry, the bacteria itself would die. Hope this helps! :)

What did Belgium do to the congo?​

Answers

Answer:

They killed 10 million people and registered it as a colony

Explanation:

Brainliest helps

What is the average of 255, 242, 245?

Answers

Answer:

The average is 247.33 if it is for the whole number then it is 247

Explanation:

I did it by adding it all together and dividing it by 3

Answer:

247.33 is the average.

Explanation:

To find the average of a set of numbers:

a. add them up.

b. divide by how many numbers there are.

SO:

a. 255 + 242 + 245 = 742.

b. 742 (total) divided by 3 (# of numbers) = 742/3 = 247.33.

Hope this helps!

An object is released from rest near a planet's surface. A graph of the acceleration as a
function of time for the object is shown for the 4s after the object is released. The
positive direction is considered to be upward. What is the displacement of the object after 2s?

Answers

Answer:

The displacement and direction of the body after 2 seconds is 10 meters downwards

Explanation:

The given information are;

From the graph, the acceleration, is seen as the horizontal line that starts from the y-coordinate, y = -5 m/s²

Therefore;

The acceleration of the body after it was released from rest = -5 m/s² with an upward direction;

Which gives, the acceleration of the body downwards = Opposite sign to the acceleration of the body upwards = 5 m/s²

The displacement, s, of the body after 2 seconds is given by the following equation of motion;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity of the body = 0 m/s

t = The time duration of the displacement = 2 s

a = The acceleration of the body = 5 m/s², downwards

Therefore, by substituting the values, we have;

s = 0 × 2 + 1/2 × 5 × 2² = 10 meters

s = 10 meters

The displacement of the body after 2 seconds =  10 meters

Given that the direction of the displacement and the direction of the acceleration are the same, we have;

The displacement and direction of the body after 2 seconds = 10 meters downwards.

The displacement of the object moving downwards is 10 m.

The given parameters;

time of motion of the object, t = 2 sacceleration of the object constant = -5 m/s²

The displacement of the object moving downwards (negative direction) is calculated using the second kinematic equation as shown below;

s = ut - ¹/₂at²

s = 0 - 0.5 x (-5) x (2)²

s = 10 m

Thus, the displacement of the object moving downwards is 10 m.

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John has decided he needs to work harder on his Social Studies project. Then, his teacher says if he gets a good grade in Social Studies, he may be eligible for a special scholarship for college. What type of motivation is present here?
a.
Intrinsic
c.
Extrinsic to intrinsic
b.
Extrinsic
d.
Intrinsic to extrinsic



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer: Extrinsic to intrinsic

Explanation:

The type of motivation is present here is d. Intrinsic to extrinsic

The following information should be considered:

Intrinsic motivation comprise of performing a task since it's personally rewarding to you. While on the other hand, Extrinsic motivation comprise of finishing a task since of outside causes like avoiding punishment or collecting a reward.

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how many significant figures are in the number 347,000​

Answers

Answer:

there are 3 significant figures.

Explanation:

significant figures are 3,4,7.

household chores are a good way to fit exercise into your everyday ruotine

Answers

True, but is that your question?

Answer:TRUE

Explanation:

It’s counts as moving around so yes exercise

Martin Luther King, Jr., was awarded the Noble Peace Prize * Yes No

Answers

martin luther jr was awarded the nobel peace prize

Answer

Explanation:

duh he was fighting for peace half of his life

convert 288cm to Meters

Give explanation + formula

Answers

Answer:

288 cm is 2.88 meters. This is because each centimeter is 1/100th of a meter, or in other words, each meter is 100 cm. To find out cm-m, divide the amount of cm by 100 and change the unit to m.

Explanation:

formula is cm/100=m

288/100= 2.88m

it takes 1.4 minutes for Jonny to get to class which is a distance of 82 meters away s. what is Johnny’s average speed in seconds?

Answers

We have to use the equation speed=distance/time.
We want the average speed in second so we have to change the minutes into seconds. We can do this by multiplying the minutes by 60 (60seconds in 1 minute). 60x1.4= 84 seconds.
Speed=distance/time, distance is 82 and time is 84 so speed=82/84
Average speed = 0.98ms^-1 (2dp)

Which accident will be more damaging, collision between two trucks

moving with a speed 50 km/hr or collision between two cars moving with a speed of 50 km/hr? Explain.

Answers

Answer:

collision between truck

Explanation:

Answer. Collision between trucks, because more is the mass, more is the inertia and therefore more is the momentum. Mass of the trucks is more than that of cars so collision of trucks will cause more damage.

It is collision truck because the more is the mass, more is the inertia and therefore more is the momentum. Mass of the trucks is more than that of cars so collision of trucks will cause more damage.

A ball, initially at rest, reaches a speed of 20 m/s at the bottom of the apparatus. If it takes the ball 10 seconds to reach the bottom, what is the ball’s average acceleration?

Answers

Answer:

2 m/s²

Explanation:

Given:

v₀ = 0 m/s

v = 20 m/s

t = 10 s

Find: a

a = (v − v₀) / t

a = (20 m/s − 0 m/s) / 10 s

a = 2 m/s²

What is the acceleration of a 2,000 kg truck if it takes a 5,500 N force to move it forward?

Answers

Explanation:

Newton's second law:

F = ma

5500 N = (2000 kg) a

a = 2.75 m/s²

Cosmologists are scientists who study stars, galaxies, black holes, and other objects in the universe. In order to study the billions and billions of stars, cosmologists use highly advanced telescopes and create computer models to trace the stars’ motion.

What is one type of limitation that requires cosmologists to use these telescopes?

A.money
B.time
C.the size of the system
D.ethical concerns

Answers

Answer:

a

idkdidkdidkdkkdhdksijsnansjnshejdhjsnnebdhhdbsbbshshhsnsjshs

The answer is D, ethical concerns.

Good luck on the Unit Test, fellow edge.nuity user.

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