A rocket is fired vertically upwards with initial velocity 92 m/s at the ground level. Its engines then fire and it is accelerated at 4m/s2 until it reaches an altitude of 1200 m. At that point the engines fail and the rocket goes into free-fall. Disregard air resistance.

Answers

Answer 1

Answer:

The rocket above the ground is in 44 sec.

Explanation:

Given that,

Initial velocity = 92 m/s

Acceleration = 4 m/s²

Altitude = 1200 m

Suppose, How long was the rocket above the ground?

We need to calculate the time

Using equation of motion

[tex]s=ut-\dfrac{1}{2}at^2[/tex]

Put the value into the formula

[tex]1200=92t+\dfrac{1}{2}\times4t^2[/tex]

[tex]2t^2+92-1200=0[/tex]

[tex]t=10\ sec[/tex]

We need to calculate the velocity

Using equation of motion

[tex]v=u+at[/tex]

Put the value into the formula

[tex]v=92+4\times10[/tex]

[tex]v=132\ m/s[/tex]

When the rocket hits the ground,

Then, h'=0

We need to calculate the time

Using equation of motion

[tex]h'=h+ut-\dfrac{1}{2}at^2[/tex]

Put the value into the formula

[tex]0=1200+132t-\dfrac{1}{2}\times9.8t^2[/tex]

[tex]4.9t^2-132t-1200=0[/tex]

[tex]t=34\ sec[/tex]

When the rocket is in the air it is the sum of the time when it reaches 1000 m and the time when it hits the ground

So, the total time will be

[tex]t'=34+10[/tex]

[tex]t'=44\ sec[/tex]

Hence, The rocket above the ground is in 44 sec.


Related Questions

What 2 gases make up most of the atmosphere?

Answers

Answer:

nitrogen oxygen carbon dioxideand argon

Explanation:

I need a correct answer plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

option 1

Explanation:

i just used the SOH CAH TOA, and since the given is tan=opposite/adjacent, that should be the answer

3. Mount Everest, an eastern Himalayan peak on the Tibet-Nepal border, was discovered to be the world's highest mountain in March 1856. The Survey Department of the Government of India computed its height to be 29,002 ft. Express this height in scientific notation.

Answers

Answer:

   h = 2,9002 10⁴ ft

Explanation:

Scientific notation is a method to write very large and small numbers clearly, the figure is written with an integer and the other figures in decimals, with an exponent so that the number does not change.

If it is necessary to approximate a figure, the criterion is if the next figure is greater than or equal to five, the figure rises by one unit.

Mount Everest height

 

    h = 29002 ft

    h = 2,9002 10⁴ ft

if we approximate three significant figures that

     h = 2.90 10⁴ ft

Answer:

[tex]2.9002 \cdot 10^{4} ft[/tex]

Explanation:

To express the height 29,002 in scientific notation we need to move the decimal point four places to the left and express the answer into a base-ten power, as follows:

[tex]29,002 = 2.9002 \cdot 10^{4}[/tex]

The answer expressed in scientific notation results in 2.9002 times a ten to the fourth power, as a result of the four movements of the decimal point.  

   

I hope it helps you!                

50 POINTS! I really need help with these pressure and volume questions from Boyle's Law. PLEASE HELP




1.If a sample of gas has a volume of 100.0ml when the pressure is 50.0kPa, what is the volume when the pressure is increased to 400.0kPa, assuming temperature and number of moles is held constant?






2. What pressure would be required to take 100.0ml of a gas at 103.0kPa and squish it down to 2.00ml, assuming temperature and number of moles is held constant?






4. If the temperature and number of moles are held constant, what would be the new volume if 2.00cm3 of a gas at 3.00atm is changed to 0.0200atm?






7. What pressure must be applied to a sample of Freon gas having a volume of 325L at 20.0°C and 723Torr to permit the expansion of the gas to a volume of 975L at 20.0°C?

Answers

Answer:

1) [tex]V_{1}[/tex]= 100ml = 0.1 L

2) [tex]P_{1}[/tex]= 50kPa

[tex]1) P_{2} =400 kPa\\2)V_{2} =?[/tex]

So,

    [tex]P_{1}V_{1} = P_{2} V_{2}[/tex]

     [tex]V_{2} = \frac{0.1 x 50}{400}[/tex]

     [tex]V_{2} = 0.0125 L[/tex]

[tex]2) V_{1} = 100 mL = 0.1 L\\P_{1}= 103 kPa\\V_{2}=2 mL\\P_{2} =?\\[/tex]

[tex]P_{1} V_{1} =P_{2} V_{2}\\ P_{2}=\frac{0.1x103}{2}\\ P_{2}=5.15 kPa[/tex]

[tex]4) V_{1}=2 cm^{3} = 0.002 dm^3\\P_{1} =3 atm x 760 = 2280 torr\\P_{2} = 0.0200 atm x 760=15.2 torr[/tex]

Same, formula as above,

                                   [tex]V_{2}=\frac{2280x0.002}{15.2}\\V_{2}=0.3 L[/tex]

[tex]7)V_{1}=325\\T_{1}=20^{0}C=293K\\ P_{1}=723 torr\\V_{2}=975L\\T_{2} = 20^0 C= 293K\\P_{2}=?[/tex]

By the formula,

                         [tex]\frac{P_{1}V_{1}}{T_{1}} = \frac{P_{2}V_{2}}{T_{2}} \\P_{2} = \frac{723x325x293}{293x975}[/tex]

                         [tex]P_{2} =241 Torr[/tex]

     

Atomic theory describes the motion of particles in solids, liquids, and gases. Which statement best describes the particles in a given state of matter?
A. The particles in gases have a fixed position but can vibrate.
B. The particles in solids have a fixed position but can vibrate.
C. The particles in solids are very close to each other but they are able to move past each other. D. The particles in gases are very close to each other but they are able to move past each other.

Answers

B is the answer because a solid would not be able to hold its shape if it was able to move around

Answer:

B. The particles in solids have a fixed position but can vibrate

Explanation:

Answer choice "A" is incorrect because particles in gases are not held by bonds and move freely (not fixed).

Answer choice "C" is incorrect because while solids are close in proximity, their particles do not move past each other.

Answer choice "D" is incorrect because while the particles in gases are able to move past each other, they are not arranged in close proximity. In fact, them being spread out and free is why they are able to move past each other.

Which is a factor that keeps Earth in orbit around the sun

Answers

Answer:

Gravity

Explanation:

Newton contributions

Gravity Is the main factor to keep them together

Which bulb produces a wave with the highest frequency?

Answers

Violet - shortest wavelength, around 400-420 nanometers with highest frequency. They carry the most energy.

Answer:

UV Light I think, sorry if I'm wrong

6. Potential energy that depends on height is called *
O kinetic energy
O gravitational potential energy.
elastic potential energy.
O mechanical energy

Answers

B - gravitational potential energy

the heavier the object is above the ground, the more gravitational potential energy it holds

hope this helps :)

The potential energy that depends on height is called gravitational potential energy. (Option B)

What is gravitational potential energy?

Gravitational potential energy is a form of potential energy that an object possesses due to its position relative to a gravitational field.

When an object is raised to a certain height above the ground, it gains gravitational potential energy. The higher the object is raised, the greater its potential energy.

This potential energy is a measure of the work that would be required to move the object against gravity and bring it back down to its original position.

The formula for gravitational potential energy is;

Potential Energy (PE) = mg h

where;

PE is the gravitational potential energym is the mass of the objectg is the acceleration due to gravityh is the height or elevation of the object

Learn  more about gravitational potential energy here: https://brainly.com/question/15896499

#SPJ6

An object weighs 530.0 Newton. It is being pushed along a horizontal surface by a 340.0-
Newton force. Determine the mass of the object. Enter a numerical answer.

Answers

Answer:

54.08 kg

Explanation:

The weight of an object is the force of gravity acting on the object and is related to the mass of the object as;

Weight = mass x acceleration due to gravity (g), where g = 9.8 m/s.

Hence, the weight of the object is only dependent on its mass and g, not on any other force. Now, if the weight is 530.0 N,

530 = m x 9.8

   m = 530/9.8

                = 54.08 kg

Therefore, the weight of the object is 54.08 kg.

difference between simple machine and complex machine?​

Answers

Answer:

a simple machine has way less parts than a complex machine like just one pulley or lever. A complex machine has multiple different parts that lead up to one thing being done in the long run.

Explanation:

A moving object with a decreasing velocity covers distance during
each new second than it covered in the previous second.


A.the same
B.more
C.less

Answers

The answer is C. Less

.

Answer in units of N.

Answers

There is nothing to answer because there is no question


Determine the speed of a golf ball that was hit 200meters
in 5 seconds.
a) 1000 m/s b) 40 m/s
c) .025 m/s d) 100 m/s

Answers

Answer:

b

Explanation:

200 divided by 5 is 40

b) 40 m/s

200 divided by 5 equals 40

Biomes on Earth have exhibited changes throughout history that have been caused by a variety of factors. Over the past 50 years, the amount of tropical rainforest acreage found throughout the world has decreased from 14.8 billion acres to 8.6 billion acres due to deforestation. What factor is likely most responsible for the changes observed in the world's rainforests? a. volcanic activity b. human activity c. temperature changes d. solar eclipses Please select the best answer from the choices provided A B C D

Answers

Answer:

b

Explanation:

The factor that is most likely to be responsible for the changes observed in the world's rainforest is human activities.

There has been a surge in the human population leading to an increased need for housing, foods, and other infrastructures. All these needs are directly or indirectly provided by the forest. Hence, the more the population of human expands, the more pressure that would be exerted on the rainforest and, indeed, other forests of the world.

The correct option is b.

Question 1 (2 points)
(05.03 LC)
Which of the following is one part of a chemical formula? (2 points)
оа
A number that shows the total atomic mass of the substance
Ob
The full name of each element shown
ос
The symbol of each element in the substance
Od
A number that shows the total number of chemical bonds

Answers

Answer:

C. The symbol of each element in the substance

Explanation:

The chemical formula of a compound is a representation which shows the elements therein and the mole relationship between them expressed as subscripts.

A chemical formula is made up of chemical symbols and the mole relationships. For example, HCl represents 1 mole of hydrogen chloride molecules with each consisting of 1mole of hydrogen atoms and 1 mole of chlorine atoms.

A 55 kg boy is throwing a 0.23 kg baseball up in the air. He decides to see how high he can throw it and uses a timer to see how long the ball stays in the air. He throws the ball as hard as he can straight up in the air and finds that it takes 5.5 seconds to come back to him. How long did it take for the ball to reach its highest point? (half the time it was in the air)

Answers

Answer:

2.75 s

Explanation:

From the question given above,

Total time (T) spent by the ball in air = 5.5 s

Time taken (t) to reach the greatest height =...?

Thus, we can obtain the time taken (t) for the ball to reach the greatest height as follow:

T = 2t

Where:

T is the total time spent by the ball in air.

t is the time taken to reach the greatest height

Total time (T) spent by the ball in air = 5.5 s

Time taken (t) to reach the greatest height =...?

T = 2t

5.5 = 2 × t

Divide both side by 2

t = 5.5/2

t = 2.75 s

Therefore, the time taken (t) to reach the greatest height is 2.75 s.

HEY CAN ANYONE PLS ANSWER DIS IN YOUR OWN WORDS!!!

Answers

Answer:

11. A small number of alpha particles being deflected at large angles suggested that there is a concentration of positive charge in the atom

12. describes properties of the atom

13. 1913

14. quantum state with all observable (atoms) independent of time.

15. the lowest energy state of an atom or other particle

Explanation:

what is one second time ?​

Answers

Answer:

one second is defined au1/86400th the part of a solar day

Which friction static friction, kinetic friction, or air friction? Can be more than one response.
Gripping friction.
kinetic friction
air friction
static friction

Answers

Answer:

Kinetic Friction

Explanation:

Kinetic friction acts opposite the object's sliding direction. Kinetic friction always opposes the object's sliding direction.

Kinetic energy or friction

HOW LONG WILL IT TAKE SHINTA TO REACH HIS BROTHERS LOCATION? PLS HELP

Answers

Answer:

2 minutes or 120 seconds

Explanation:

The answer is 2 minutes or 120 seconds because 36 km is 36000 m and 36000 divided by 300 is 120, so the answer is 120 seconds, and converted to 2 minutes. Hope it helps!

If a substance has a density of 2.7g/cm3 and a mass of 86.4g, what is its volume?

Answers

Answer:

32cm³

Explanation:

Given parameters:

  Density of substance  = 2.7g/cm³

   Mass of substance  = 86.4g

Unknown:

Volume of substance  = ?

Solution:

Density is the mass per unit volume of a substance.

    Density  = [tex]\frac{mass}{volume}[/tex]

Since the unknown is volume we solve for it;

   mass  = density x volume

   86.4 = 2.7 x volume

    volume  = [tex]\frac{86.4}{2.7}[/tex]   = 32cm³

Whats the atmosphere?

Answers

Answer: The atmosphere of Earth is the layer of gases, commonly known as air, retained by Earth's gravity, surrounding the planet Earth and forming its planetary atmosphere.

Explanation:

Help please and thank you =D

Answers

Answer:

Explanation:

Biomass is the total quantity or weight of organisms  in a given area or volume.

Answer and I will mark Branliest!!!
3. _____________is a means of creating force leading to movement. *


A. Propulsion

B. Dialysis

C. Magnification

D. Osmosis

Answers

A. Propulsion is the answer

Answer:

propulsion

Explanation:

What amount of force would be required to lift a 10 kg dog?

Answers

Answer:

5 Kg force I think try

Explanation:

the force is equal to the weight divided by two. It will require a 5 Kg force to lift a 10Kg weight.

I need help with number 7 and 8

Answers

Answer:

7 is the 1 one and 8 is the 2 one

Explanation:

23. A ball is dropped from 215m. How long will it take to reach the ground?

Answers

Answer:

6.6 s.

Explanation:

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

Height (h) = 215 m

Time (t) =..?

Thus, we can obtain the time taken for the ball to get to the ground by applying the following formula:

h = ½gt²

Where:

h is the height.

g is the acceleration due to gravity

t is the time to taken.

With the above formula, the time taken for the ball to get to the ground can be obtained as follow:

Height (h) = 215 m

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

Time (t) =..?

h = ½gt²

215 = ½ × 9.8 × t²

215 = 4.9 × t²

Divide both side by 4.9

215 / 4.9 = t²

Take the square root of both side.

t = √(215 / 4.9)

t = 6.6 s

Therefore, it will take 6.6 s for the ball to get to the ground.

TIME REMISE
01:57:34
As a person pushes a box across a floor, the energy from the person's moving arm is transferred to the box, and the
box and the floor become warm. During this process, what happens to energy?
O. It is increased.
O It is conserved,
O It is decreased.
O It is created.


Answers

Answer:

It is conserved

Explanation:

B .It's is conserved.

How does a simple machine facilitate our work​

Answers

Answer:

Simple machines are useful because they reduce effort needed for people to perform tasks beyond their normal capabilities.

Explanation:

Answer:

Simple machines are useful because they reduce effort needed for people to perform tasks beyond their normal capabilities.

Explanation:

A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?

using 60 N of force
moving the chair 2 m
increasing the angle to 20°
decreasing the angle to 10°

Answers

Answer:

decreasing the angle to 10°

Explanation:

correct on edge~ !

Answer:

Decreasing the angle to 10

Explanation:

When the force is calculated it is greater

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