A rock is kicked horizontally off a dock into the bay 3
times with a higher initial velocity each time as shown to the right. Which of the following statements is true regarding
these scenarios? AND WHY?

(a) The rock takes the longest time to hit the water in
case 3
(b) The rock takes about the same time to hit the water
in each case
(c) The rock hits the water below with the highest speed
in case 1
(d) The rock hits the water with the same speed in each|
case
Student Answer(s):
Student Reasoning:

A Rock Is Kicked Horizontally Off A Dock Into The Bay 3times With A Higher Initial Velocity Each Time

Answers

Answer 1

Answer:

The true statement is;

(b) The rock takes about the same time to hit the water in each case

Explanation:

The given information are;

The direction in which the rock is kicked = Horizontally

The number of different initial horizontal with which the rock as kicked =  different horizontal velocity

The time taken for the rock to hit the water is given by the following equation for projectile motion;

y = y₀ + v₀× sin(θ₀)×t - 1/2×g×t²

Where;

θ = The angle the rock makes with the horizontal when it was kicked = 0

y = The height through which the rock drops

y₀ = The initial height of the rock

t = The time taken for the ball to hit the water

g = The acceleration due to gravity ≈ 9.81 m/s²

For the different speeds, v₁, v₂, and v₃, we have;

y = y₀ + v₁× sin(0)×t - 1/2×g×t² = y₀ - 1/2×g×t²

y = y₀ + v₂× sin(0)×t - 1/2×g×t² = y₀ - 1/2×g×t²

y = y₀ + v₃× sin(0)×t - 1/2×g×t² = y₀ - 1/2×g×t²

Therefore, the time it takes for the ball to hit the water is given as follows;

[tex]t = \sqrt{\dfrac{(y_0 - y) \times 2}{g} }[/tex]

Which is the same for each case

However, the speed, v, with which the rock hits the water is given by the following equation;

[tex]v = \sqrt{v_x^2 + v_y^2}[/tex]

[tex]v_y[/tex] = The vertical velocity = v₀ × sin(θ₀) - g×t = v₀ × sin(0) - g×t = -g×t

[tex]v_y[/tex] = -g×t

Therefore, [tex]v_y[/tex], is the same for all three times

While vₓ = v₁, v₂, and v₃, for each of the three times.

Therefore, [tex]v = \sqrt{v_x^2 + v_y^2}[/tex]  the speed with which the rock hits the water is different for all three times.


Related Questions

The question is 6 please help

Answers

Answer:

none of the answers are correct

Explanation:

Lithium = 3

Berillium = 4

Boron = 5

Carbon = 6

Melanie and Lance gathered data about the effectiveness of masks
preventing disease. One of the questions they ask the experimental
subjects is their age. What type of observation is this? *

Answers

When she gathers the effectiveness of mask prevention the disease of mask that is when she has to experiment on whether it’s effective or not! Hope this helps!

PLEASE HELP IT IS URGENT! NET FORCE

Answers

C is the answer because you subtract 20-18

a blwoing ball traveling 2.0 m/s has a 16 J of Kinetic energy what is the mass of the bowling ball in KG

Answers

Answer:

ke=1/2mv2

Explanation:

16=m(2)*2

16=m4

m=16÷4

m=4

You are designing an apparatus to shoot a water balloon through a 3rd story window (25m above the ground)

Answers

Answer:

The balloon needs a vertical velocity of approximately 22.14 m/s to reach the window

Explanation:

The given parameters are;

The destination of the designed water balloon we shoot = The 3rd story window

The height of the 3rd story window which the water balloon should reach = 25 m

Therefore, we have, the equation of motion of the water balloon given as follows;

v² = u² - 2 × g × s

Where;

[tex]u_y[/tex] = The initial vertical velocity of the balloon

[tex]v_y[/tex] = The final vertical velocity of the balloon = 0 m/s

g = The acceleration due to gravity = 9.8 m/s

s = The height the balloon is intended reach at the final velocity becomes 0 m/s = The height of the 3rd story window

∴ s = 25 m

Substituting the values, we have;

0² = [tex]u_y[/tex]² - 2 × 9.8 × 25

[tex]u_y[/tex]² = 2 × 9.8 × 25 = 490

[tex]u_y[/tex] = √490 = 7·√10

The initial vertical velocity of the balloon = [tex]u_y[/tex] = 7·√10 m/s

Therefore, the balloon needs a vertical velocity of 7·√10 m/s which is approximately 22.14 m/s to reach the window.

please awnser and show the ways​

Answers

Answer:

Answers in solutions.

Explanation:

Question 6:

The density of gold is 19.3 g/cm³

The density of silver is 10.5 g/cm³

The density of the substance in Crown A;

Density = mass ÷ volume = [tex]\frac{1930}{100}[/tex] = 19.3 g/cm³

Since the density of gold, given, is 19.3 g/cm³ and the density of the substance in Crown A has a density of 19.3 g/cm³ , then that substance must be gold.

The density of the substance in Crown B;

Density = mass ÷ volume = 1930 ÷ 184 = 10.48913043  g/cm³ ≈ 10.5 g/cm³  (answer rounded up to one decimal place)

Since the density of the substance in Crown B is approximately equal to 10.5 g/cm³ , then that substance is Silver.

The density of substance in Crown C;

Density = mass ÷ volume = 1930g ÷ 150cm³ = 12.86666667 ≈ 12.9 cm³ (answer rounded up to one decimal place)

The density of the mixture:

For 2 cm³ of the mixture, its mass equal 19.3 g + 10.5 g = 29.8 g

∴ for 1 cm³ of the mixture, its mass equal to [tex]\frac{29.8}{2}[/tex] = 14.9 g

Hence the density of the mixture = 14.9 g/cm³ and is not equal to the density of the substance in Crown C.

* Crown C is not made up of a mixture of gold and silver.

Question 7:

An empty masuring cylinder has a mass of 500 g.Water is poured into measuring cylinder until the liquid level is at the 100 cm³ mark.The total mass is now 850 g

The mass of water that occupied the 100 cm³ space of the container = total mass - mass of the empty container = 850 g - 500 g = 350 g

Density of the liquid (water) poured into the container = mass ÷  volume = 350 g ÷ 100 cm³ = 3.5g/cm³

Question 8:

A tank filled with water has a volume of 0.02 m³

(a) 1 liter = 0.001 m³

How many liters? = 0.02 m³ ?

Cross multiplying gives:

[tex]\frac{0.02 * 1}{0.001}[/tex] =  20 liters

(b) 1 m³ = 1,000,000 cm³

0.02 m³ = how many cm³ ?

Cross-multiplying gives;

[tex]\frac{0.02 * 1,000,000}{1}[/tex] = 20,000 cm³

(c) 1 cm³ = 1 ml

∴ 0.02 m³ of the water = 20,000 cm³ = 20,000 ml

Question 9:

Caliper (a) measurement = 3.2 cm

Caliper (b) measurement = 3 cm

Question 10:

A stone is gently and completely immersed in a liquid of density 1.0 g/cm³in a displacement canThe mass of liquid which overflow is 20 g

The mass of the liquid which overflow = mass of the stone = 20 g

1 gram of the liquid occupies 1 cm³ of space.

20 g of the liquid will occupy; [tex]\frac{20 * 1}{1}[/tex] = 20 cm³

(a) Since the volume of the water displaced is equal to the volume of the stone.

∴ The volume of the stone = 20 cm³

(b) Mass = density ×  volume

Density of the stone = 5.0 g/cm³

Volume of the stone = 20 cm³

Mass of the stone = 5 g/cm³ × 20 cm³ = 100 g

Use the drop-down menus to complete the statements.
The of light is the rate at which light travels through empty space, or about 300,000 km per second.
A light-year is a measurement of .
The distance between stars is measured in light-years rather than in miles or kilometers because the distance between stars .

Answers

Answer:

speed

distance

is very large

Explanation:

a. speed, distance , very large

What is a light year?

Light-year is the distance light travels in one year. Light zips through interstellar space at 186,000 miles (300,000 kilometers) per second and 5.88 trillion miles (9.46 trillion kilometers) per year.

The speed of light measures the space traveled by electromagnetic waves every second.

In a vacuum, electromagnetic waves propagate at a constant velocity of approximately 299,792,458 meters per second.

In other words we can state that the speed of light refers to the rate that light travels through empty space.

Light-year is a unit of measurement used to calculate distances in astronomical space, i.e. where planets, stars, comets and so on are found.

The distances between the stars are huge, so to measure the immense dimensions of the universe requires the application of a special unit of measurement: the light year.

Because of this gigantic distance, the distance between the stars is measured in light years.

The complete question is given below:

Use the drop-down menus to complete the statements.

The ____ of light is the rate at which light travels through empty space, or about 300,000 km per second.

A light-year is a measurement of ____ .

The distance between stars is measured in light-years rather than in miles or kilometers because the distance between stars _____ .

Learn more about light year here:https://brainly.com/question/1302132

#SPJ2

action reaction forces are in which one of newtons laws

Answers

Answer:

the third law

Explanation:

could u vote me brainliest plz? thx :)

why displacement has a fixed direction and change in position​

Answers

The position of an object is where it sits on the number line. When the object moves to another position, its displacement is the second position minus the first position.

Δ x = x2 − x1

The word displacement implies we keep track of which way the movement occurs. In one dimension the direction is indicated by the sign: negative if to the left and positive if to the right. The word distance means how far the object moves regardless of direction. It is always positive and is equal to the absolute value, or magnitude, of the displacement.

If one follows the rule of always subtracting the first position from the second, the sign always works out to be positive if the displacement is to the right and negative if the displacement is to the left.

WILL REWARD brief history of nuclear power. inventors and or who discovered nuclear power and when it was first used.

Answers

Answer:

1951 an experimental nuclear reactor in Arco, Idaho, produces enough electricity to power for light bulbs...... 1954 the atomic energy act authorizes development of nuclear energy for a civilian use.1957 first commercial nuclear-powered Generating Station is built in the shippingport,Pa.

Explanation:

● Enrico Fermi was the one who discovered nuclear power.

● nuclear power was first used

[ December 20, 1951]

URGENT WILL GIVE BRAINLIEST TO BEST ANSWER
In a windy day,
(pick one)
high and low pressure are the same
low pressure is greater than high
air temperature is greater than the air pressure
high pressure is greater than low pressure
high pressure is less than low pressure
low pressure is less than high pressure

Answers

Answer:

D, high pressure is less than low pressure low pressure is less than high pressure

Explanation:

Answer:

a

Explanation:

I took a picture of my problem.

Answers

I’m pretty sure it’s C

The Earth’s ________________ on its ________ causes day and night.

Answers

Answer:

1. rotation. 2. axis

Explanation:

The Earths rotation on its axis causes day and night

1300 J of work are done when a rock is pushed 40 m. How much force was used? ​

Answers

Explanation:

Work=ForcexDisplacement

Force= Work/Displacement

= 1300/40

= 32.5 N

If a car that is moving 20.0 m/s has a momentum of 29000 kg·m/s, what mass is the car?

Answers

Answer:

Mass = 1450kg

Explanation:

P = M * V (where p is momentum, m is mass and v is velocity)

29000 = 20 * M

M = 29000 / 20

M= 1450 kg

why would hydras avoid reproducing asexually when condition are difficult?

Answers

Answer:

I'm soooooooo happy you asked the answer is yes

a 0.006kg bullet is fired at 350 m/s into a container that stops it at .30 m. what is the average force stopping the bullet?

Answers

Answer:

is this a mudder question

What is the magnitude of force required to accelerate a car of mass
1.7 × 103 kilograms by 4.75 meters/second2?

Answers

Answer:

The answer is 8075 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 1.7 × 10³ kg = 1700 kg

acceleration = 4.75 m/s²

We have

force = 1700 × 4.75

We have the final answer as

8075 N

Hope this helps you

Which describes an object in projectile motion?

A. Gravity acts to push the object sideways.
B. The object moves in a straight path.
C. The forward velocity of the object is 0 m/s.
D. The object’s inertia carries it forward.

Answers

D the objects inertia carries it forward
your answer is D the object carries it forward

why is epidermis important for plants​

Answers

Answer:

Epidermis, in botany, outermost, protoderm-derived layer of cells covering the stem, root, leaf, flower, fruit, and seed parts of a plant. The epidermis and its waxy cuticle provide a protective barrier against mechanical injury, water loss, and infection.

hope this helps

please help! newton's laws. please give a legit answer

Answers

Answer:

yuhhh

Explanation:

get into it

Which circuit is a series circuit

Answers

Answer:

The answer is A

Explanation:

Answer:

it is A)

Explanation:

it has multiple circuits.

What are the two parts of an atom?

the nucleus and the proton cloud
the neutron and the electron cloud
the neutron and the proton cloud
the nucleus and the electron cloudWhen an atom that has no charge loses two electrons, it becomes a

positive ion.
negative ion.
positive isotope.
negative isotope.

Answers

Answer:

The two main components of an atom are the nucleus and the cloud of electrons

postive ion

Explanation:

your welcome !!

postive ion explation - When an atom that has no charge loses two electrons, it becomes a positive ion. negative ion. positive isotope. negative isotope When an atom that has no charge loses two electrons, it becomes a positive ion.

When a racer gets thrown out of a race they gets this?

Answers

What do you mean sorry confused

Answer:

A black flag

Explanation:

1) Calculate the speed of a runner who runs 100 m in 20s

Answers

This is how you calculate his speed, for the 100metres. That is, the average speed for the entire distance, including the start from intertia until the race end where the athlete is decelerating. Multiply the time by 10, and divide 3600 by that figure. i.e. 10 by10 equals 100. Divide 3600 by 100 and you get 36 which is the speed figure you requested.

A female athlete ran 200 metres a few years ago and in the middle section of the race covered 100 metres in that race in a time under 10 seconds. That is, she ran a sub 10second 100metres from a flying start. This great athlete from Slovenia, also ran a 100 metre race (from a stationary start) in a time under 11 seconds, when she was 48 years of age. Her name is Merlene Ottey.

What are the Differences between ancient and modern astronomy?

Answers

Answer:

ancient astronomy is back in the 1600s and is really old and modern astronomy is present and astronomy today

Time period and technology are the main differences between ancient and modern astronomy.

The main differences between ancient and modern astronomy is the era in which they were created and developed. The ancient astronomy developed by Greeks and technology for study is very old. The first documented records of systematic astronomical observations occurs in Assyro-Babylonians around 1000 BCE.

While on the other hand, modern astronomy refers to the astronomy that is developed in this modern period and use advance technology. Modern astronomy includes many elements of the motions as well as characteristics of moving bodies so we can conclude that time period and technology are the main differences between ancient and modern astronomy.

Learn more: https://brainly.com/question/18659457

what element has 3 protons and 4 electrons?

Answers

Answer:

Li⁻

Explanation:

# of protons = # element on the Periodic Table.

# of protons (+) + # of electrons (-) = overall charge

3 protons is the 3rd element on the Periodic Table: Lithium

All elements on the Periodic Table have a neutral charge. Lithium neutral has 3 protons and 3 electrons.

We are given 4 electrons; 3 + -4 = -1 charge overall.

Therefore, our ion is Li⁻

All atoms want to be like which group of atoms?

Answers

I believe it is the noble gasses

A wave has a frequency of 3 Hz, how long is the period?

A 9

B 6

C 3

D .33

Answers

Answer D

Explanation I did the quiz


8) Find the X and Y component of 10degree vector that has 5N.

Answers

Answer:

Fx  = 4.92 [N]

Fy = 0.868 [N]

Explanation:

Let's take the 10 degrees as a measure from the horizontal component to the vector.

Thus taking the components in the X & y axes respectively:

Fx = 5*cos(10) = 4.92 [N]

Fy = 5*sin(10) = 0.868 [N]

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