An airplane flying upward at 39.6m/s and an angle of 30 degree relative to the horizontal releases a ball when it is 287m above the ground. Calculate the time it takes the ball to hit the ground? Calculate the maximum height of the ball? Calculate the horizontal distance the ball travels from the release point to the ground? Neglect any effects due to air resistance.

Answers

Answer 1

Answer:

Assuming the speed of the plane is 39.6 m/s

vy = 39.6 * sin 30 = 19.8 vertical speed

vx = 39.6 * cos 30 = 34.3 m/s

S = vy t - 1/2 a t^2    to calclulate vertical height

-287 = 19.8 t - 4.9 t^2

4.9 t^2 -19.8 t - 287 = 0

I get t = 9.93 for solving the quadratic for time for ball to hit ground

Horizontal distance = 34.3 m/s * 9.93 s = 341 m

With a vertical speed of 19.9 m/s it takes 19.8 / 9.8 = 2.02 s to reach max height

You can again solve a quadratic or use 19.8 / 2 * 2.02 for time to reach vertical height         H = 287 + 20 = 307 m

As a check 307 = 1/2 g t^2 = 4.9 * (9/93 - 2/02)^2 = 307 m  max height

After you know how long the ball is in the air there are several ways to calculate the other values.


Related Questions

While closing a door of mass 10 kg, a student pushes on it with a force of 25 N. As the door is accelerating to close, what
force does the door exert on the student?

A.5n
b.25n
c.250n
d.35n

Answers

Answer:

its 30 n

trust me

A can of soda weighs 4.7 newtons (N) on Earth's surface. What will it weigh on Planet X where the acceleration due to gravity is 1.82 meters per second^2?

Answers

Explanation:

The mass of the soda can is

[tex]m = \dfrac{W}{g} = \dfrac{4.7\:\text{N}}{9.8\:\text{m/s}^2} = 0.48\:\text{kg}[/tex]

The weight of this same soda can on Planet X is

[tex]W = mg_p = (0.48\:\text{kg})(1.82\:\text{m/s}^2) = 0.87\:\text{N}[/tex]

Which are characteristics of a solid? (Select all that apply.)

It maintains its volume.

It can be compressed.

It keeps its shape.

It fills the container it is in.

Answers

A solid maintains its volume and shape.

what does that mean?

Answers

Answer:

Acceleration is the rate at which the velocity changes .

Hope it's help you !!

Tốc độ v của một vật được cho bởi phương trình v = At
3
– Bt, trong
đó t là thời gian.
(a) Xác định thứ nguyên của A và B.
(b) Đơn vị SI của các hằng số A và B là gì?

Answers

If v(t) is speed measured in meters per second (m/s), and t is time measured in seconds (s), then the constants A and B in

v(t) = At ³ - Bt

must have units of m/s⁴ and m/s², respectively; otherwise, the equation is dimensionally inconsistent.

[m/s] = A [s]³ - B [s]

[m/s] = [m/s⁴] [s]³ - [m/s²] [s]

[m/s] = [m/s] - [m/s]

[m/s] = [m/s]

. The artificial sweetener NutraSweet is a chemical called aspartame (C14H18N2O5). What is (a) its molecular mass (in atomic mass units)? (3) (b) the mass (in kg) of an aspartame molecule?​

Answers

The molecular mass, in atomic mass unit, of aspartame would be 294 amu while the mass, in kg, of an aspartame molecule would be 0.294 kg

Aspartame has the chemical formula C14H18N2O5

C = 12, H = 1, N = 14, O = 16

(a) Molecular weight = (12x14) + (1x18) + (14x2) + (16x5)

                                  = 168 + 18 + 28 + 80

                                    = 294 amu

(b) Mass of 1 molecule of aspartame = mole x molar mass

                                    = 1 x 294

                                        = 294 g

Converting 294 g to kg = 294/1000

                                         = 0.294 kg

More on mole and molar mass can be found here: https://brainly.com/question/6613610

Does a paddle boat’s wheel rotate clockwise or counterclockwise? PLS HELP

Answers

Propeller walk (also known as propeller effect, wheeling effect, paddle wheel effect, asymmetric thrust, asymmetric blade effect, transverse thrust, prop walk) is the term for a propeller's tendency to rotate about a vertical axis (also known as yaw motion). The rotation is in addition to the forward or backward acceleration.

Knowing of and understanding propeller walk is important when maneuvering in small spaces. It can be used to one's advantage while mooring off, or it can complicate a maneuver if the effect works against the pilot.

If the mass is 2.0 kg and the acceleration is 5 m/s/s, then what is the force?

Answers

Answer:

Explanation:

F = ma = 2.0(5) = 10 N

The Supreme Court decision in Brown v. Board of Education, which desegregated schools, is an example of judicial activism.

True

False

Answers

It’s true that’s the answer

Which of the following processes is an important part of star formation? A. nuclear fusion B. nuclear fission C. molecular fusion D. molecular fission

Answers

Answer:

B

Explanation:

Answer:

Option A is correct.

Explanation:

At the temperature [tex]10^{7}K[/tex] the hydrogen atoms fuse to form helium thus a large amount of heat is produced and stars are formed.

What causes a star to form?

Due to gravitational pull the particles and the molecules of gases become condense and by which it becomes hot. The process goes unless the temperature of the core becomes 10,000,000K.

At this temperature, the fusion takes place and energy is released.

Thus the star shines.

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A person weighing 600 N is standing in an elevator. If the upward force of the elevator on the person is 800 N, which of the following is true?

Answers

Answer:

person is accelerating downwards

Explanation:

We are told that the force of the person standing on the elevator is 800 N acting downwards.

We are also told that the upward force of the elevator on the person is 600 Newtons.

This means that Upward force is lesser than downward force and thus the person is accelerating downwards

HELP ME PLZZZ




You attach a cart with a mass of
0.92 kg to a spring and compress the cart-
spring system. The spring constant for the spring is 130 N/m. Your objective is
to propel the cart with a velocity of 1.4 m/s along a frictionless surface. How
need to compress the spring in order to meet your target velocity?
far do
you

Answers

If anyone can help me that would be nice it’s one question about The Kohlberg Dilemmas.


An LED bulb transfers 200J of energy in 20s. Its power rating is ...

Answers

Answer:

[tex]\huge\boxed{\sf P = 10\ Watts}[/tex]

Explanation:

Given:

Energy = E = 200 J

Time = t = 20 s

Required:

Power = P = ?

Formula:

P = E / t

Solution:

P = 200 J / 20 s

P = 10 Watts

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

9. An elevator uses 650.0 watts to lift 5 passengers 30.0 m in 15.0 seconds. What is the force needed to lift the elevator and the passengers?​

Answers

Hi there!

We can begin by calculating the total WORK done using the equation:

Power · time = Work

650 · 15 = 9750 J

We know that:

Work = Force · displacement (W = Fd), so:

W/d = F

9750/30 = 325 N

10. Based on the current position of the continents, South America is moving away from
Africa in what direction?
A. West
C. North
B. East
D. South

Answers

Answer:

D

Explanation:

bexause south jnshdbsjsvhhhgvvvbbhhhhbbbvgj ghbvkbBBCfjnbbcgn. gxb NBCxbncc gcbnbyd vvvv b jb jbhhhhhvvhbvvhjjnnjj,jzjsjdndjjshshdjsbddvdusvusgavahmmsbyurdvsbsjsiwjSCjDHLseekscoopDJxxvisoscoopxxviwellAbbistopDHLshopgogogogotoFL

Linearize equation T=KL^n​

Answers


Ano po question talaga dyan

Explanation:


TDS and ppm are common units used to measure
a) the amount of some item in the water.
b) the temperature of water.
c) the direction of water currents.
d) the flow speed of a river

Answers

Answer:

c

Explanation:

pls give brainliest have a great day

TDS and ppm are common units used to measure the quantity of substance in the water, therefore the correct answer is option A.

What is a unit of measurement?

A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.

Common units used to measure the amount of material in water are TDS and part per million.

As given in the problem we have to find out for what measurement, the units TDS (Total dissolved solid )and ppm (parts per million) are used.

The total dissolved solid and parts per million are used to measure the amount of substance present in the water, therefore the correct answer is option A.

To learn more about the unit of measurement here, refer to the link given below ;

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Calculate the kinetic energy of a 70 kg person moving at a speed of 5m/s

Answers

Answer:

875 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 70 \times {5}^{2} \\ = 35 \times 25 \\ = 875[/tex]

We have the final answer as

875 J

Hope this helps you

Answer:

[tex]\boxed {\boxed {\sf 875 \ Joules}}[/tex]

Explanation:

Kinetic energy is the energy an object possesses due to motion. It is calculated using the following formula:

[tex]KE= \frac{1}{2}mv^2[/tex]

The mass of the person is 70 kilograms and they are moving at a speed of 5 meters per second.

m= 70 kg v= 5 m/s

Substitute these values into the formula.

[tex]KE= \frac{1}{2} (70 \ kg )(5 \ m/s)^2[/tex]

Solve the exponent.

(5 m/s)² = 5 m/s * 5 m/s = 25 m²/s²

[tex]KE= \frac{1}{2}(70 \ kg)(25 \ m^2/s^2)[/tex]

Multiply the numbers in parentheses.

[tex]KE= \frac{1}{2} (1750 \ kg*m^2/s^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]KE= 875 \ kg*m^2/s^2[/tex]

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule. So, our answer of 875 kg*m²/s² is equal to 875 Joules.

[tex]KE= 875 \ J[/tex]

The person has 875 Joules of kinetic energy.

One of your classmates, in a fit of unrestrained ego, jumps onto a lab table:
a) Draw a qualitative force diagram for the table. Use marks on the vectors to show the balance of forces.
b) Your classmate’s mass is 65 kg and the table weighs 0 N. Calculate the normal force on the table by the floor. Show your work!
c)Find the mass of the table

Answers

The equilibrium condition allows finding the results for the forces of the system are

      a) The free body diagram is in the attachment

      b) The normal force is N = 737 N

      c) The mass of the table is  10.2 kg

Newton's second law indicates that the net force is proportional to the product of the mass and the acceleration of the bodies, in the special case that the acceleration is zero, it is called the equilibrium condition

          ∑ F = 0

Where the bold letters indicate vectors, F is the external forces

a) A free body diagram is a scheme of the forces without the details of the bodies, in the attachmentt we see a free body diagram of the system.

b) The reaction force of the ground is applied in each of the legs of the table, in general this force has the same magnitude in each leg, therefore in Newton's second law we can place it as a single force

             N = N₁ + N₂ + N₃ + N₄₄

Let's apply the equilibrium condition

                N -  [tex]W_m -w_{table}[/tex] = 0

                N =  [tex]W_m +w_{table}[/tex]

                N = [tex]M_m g + w_{table}[/tex]  

They indicate the pose of the boy is 65 kg, for the weight of the table of a laboratory table is approximately 100 N

                N = 65 9.8 + 100

                N = 737 N

c) To calculate the mass of the table we use the relation

                W = [tex]m_{table}[/tex] g

                [tex]m_{table} = \frac{w_{table}}{g}[/tex]

                [tex]m_{tabble}= \frac{100}{9.8}[/tex]  

               [tex]m_{table}[/tex]e = 10.2 kg

In conclusion using the equilibrium condition we can find the results for the forces are

      a) The free body diagram is in the attachment

      b) The normal force is N = 737 N

      c) The mass of the table is  10.2 kg

Learn more here:  brainly.com/question/19860811

Which diagram illustrates that matter is always conserved in a chemical reaction?

Answers

Answer:

Only the third option has the same number of each size and color circles on either side of the arrow.

Explanation:

I believe it represents the dissolution of two molecules of hydrogen peroxide into two water molecules and an oxygen gas molecule.

The first one balances oxygen but changes sulfur with either carbon or nitrogen

The second one needs 5 oxygen gas pairs instead of a single one on the left to balance the right side. Represents oxidation of a propane molecule if given enough oxygen.

The fourth one has an extra nitrogen on the left side. The hydrogen is balanced. Making amonia.

A ball is dropped from a tower that is 206 m high, How long does it take to reach the ground?

Answers

It will take 6.42 s for the ball that is dropped from a height of 206 m to reach the ground.

From the question given above, the following data were obtained:

Height (H) = 206 m

Time (t) =?

NOTE: Acceleration due to gravity (g) = 10 m/s²

The time taken for the ball to get to the ground can be obtained as follow:

H = ½gt²

206 = ½ × 10 × t²

206 = 5 × t²

Divide both side by 5

[tex]t^{2} = \frac{206}{5}\\\\ t^{2} = 41.2[/tex]

Take the square root of both side

[tex]t = \sqrt{41.2}[/tex]

t = 6.42 s

Therefore, it will take 6.42 s for the ball to get to the ground.

Learn more: https://brainly.com/question/24903556

A sports car of mass 1000 kg can accelerate from rest to 27 m/s in 7.0 seconds. What is the average forward force on the car?
Group of answer choices

a.2.6 x 10^2 N

b.3.9 x 10^3 N

c.2.7 x 10^4 N

d.1.9 x 10^5 N

Answers

Answer:

Explanation:

F = ma = mΔv/Δt = 1000(27 - 0)/(7.0 - 0) = 3,857.1428...

b. F = 3.9 x 10³ N

A ball is thrown from the top of a 15.0 m tall building. The ball is initially released with a speed of 25.0 m/s in the direction 30.0 degrees above the horizontal. 2.00 seconds after it was released, the ball is traveling with a speed of 22.8 m/s in the direction 18.2 degrees below the horizontal. Using a coordinate system where x points in the direction the ball was released and y points up, what is the y component of the ball's motion after 2.00 seconds

Answers

Answer: the final velocity and final velocity velocity can also be written as we It went to one route A. V. Of X. Care plus movie. Why is here? This is a vision number two. And this is a revision number one food equation and one into to get we want to and wrote. We now takes scared plus we not scared away helpless to And by and the horizontal and the vertical component which are we know scare X is equal to we not cost it and we're not scared by going to we not scientific putting these value. Immigration number three. We get we will too. Are we not scared? I got scared to to less. We not scare Science square theater plus two. Why? So this we equal to he went to work and rude. We're not scared people to got scared he to less science security theater Last two. A. Y. Sure we get we s we're not scared into I. Plus to A Y. So we is able to. And road we now scared. Plus two. Am I. So this is a vision number four. And we are given me an artist 14 m purse again. And why he has given us. Uh huh. three m. So we can we find out by putting this value innovation number for the disk 14 scared. Uh huh. Plus To into -9.8 into three. We get to be It will do 11.7. Me did last

Explanation:

Maganda ka Tapos Liit mopa

Answers

Answer:

naol may pinoy dito nag jakoI

Answer:

jupiter mars and sun

Explanation:

An empty 230 kg elevator accelerates upward
at 1.7 m/s^2
The acceleration of gravity is 9.8 m/s^2.
What is the tension in the cable that lifts
the elevator cab?
Answer in units of N.

Answers

Answer:

7.2 as used in the equation

một vật dao động trong 10 phút thực hiện 500 dao động tính chu kì và tần số dao động

Answers

Answer:

Explanation:

T = 10(60)/500 = 1.2 s

f = 1/T = 0.83 Hz

How many total atoms are in the following: 3NHe4
A.15
B.3
C.7
D.12

Answers

Answer would be A 15

Explain in terms of refraction and wavelength, why dispersion of white light happens.

Pls help

I will put brainliest​

Answers

Answer:

terms of refraction and wavelength, why dispersion of white light happens.

Explanation:

hope it helps

salt is made up of what elements?

A.sodium and chloride
B.sodium and chlorine
C.sodium and copper
D.sodium and oxide​

Answers

Answer:

The first option sodium and chloride

please give brainliest

Salt is made up of what elements?

= Sodium Chloride....

balls and rods set up to represent a solar system
a set of organs and structures that provide digestion in the human body
the defense plan of a football team drawn on a whiteboard
Which option correctly identifies each description?


I. system
II. model
III. systemI. system, , II. model, , III. system , ,

I. model
II. model
III. systemI. model, , II. model, , III. system , ,

I. model
II. system
III. model
, I. model, , II. system, , III. model

I. system
II. system
III. model

Answers

Answer one is correct
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