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 two types of motion are the same in which they both are under the influence of gravity?

Answers

Answer:

Orbit and Gravity

Explanation:

May I have brainliest please I would appreciate it! Have a great day!

1. A piece of iron has a volume of 11.6 cm and a mass of 63.5 9. What is its density?

75.1
51.9
5.74
0.18

Answers

it’s 5.74 if i’m not mistaken

Kinematics
29. A car starts from rest and attains a velocity
of 40 m/s in 20 s. It maintains this velocity
for 30 s and then comes to rest in 25 s.
Calculate
a) the acceleration of the car;
b) the deceleration of the car,
c) the total distance covered by the car.​

Answers

Answer:

a)

a = 2 [m/s^2]

b)

a = 1.6 [m/s^2]

c)

xt = 2100 [m]

Explanation:

In order to solve this problem we must use kinematics equations. But first we must identify what kind of movement is being studied.

a)

When the car moves from rest to 40 [m/s] by 20 [s], it has a uniformly accelerated movement, in this way we can calculate the acceleration by means of the following equation:

[tex]v_{f} = v_{i}+(a*t)[/tex]

where:

Vf = final velocity = 40 [m/s]

Vi = initial velocity = 0 (starting from rest)

a = acceleration [m/s^2]

t = time = 20 [s]

40 = 0 + (a*20)

a = 2 [m/s^2]

The distance can be calculates as follows:

[tex]v_{f} ^{2} = v_{i} ^{2}+(2*a*x)[/tex]

where:

x1 = distance [m]

40^2 = 0 + (2*2*x1)

x1 = 400 [m]

Now the car maintains its speed of 40 [m/s] for 30 seconds, we must calculate the distance x2 by means of the following equation, it is important to emphasize that this movement is at a constant speed.

v = x2/t2

where:

x2 = distance [m]

t2 = 30 [s]

x2 = 40*30

x2 = 1200 [m]

b)

Immediately after a change of speed occurs, such that the previous final speed becomes the initial speed, the new Final speed corresponds to zero, since the car stops completely.

[tex]v_{f} = v_{i}-a*t[/tex]

Note: the negative sign of the equation means that the car is stopping, i.e. slowing down.

0 = 40 - (a *25)

a = 40/25

a = 1.6 [m/s^2]

The distance can be calculates as follows:

[tex]v_{f} ^{2} = v_{i} ^{2} -2*a*x3\\[/tex]

0 = (40^2) - (2*1.6*x3)

x3 = 500 [m]

c)

Now we sum all the distances calculated:

xt = x1 + x2 + x3

xt = 400 + 1200 + 500

xt = 2100 [m]


If an object starts accelerating from rest at a rate of 35 m/s2, then how far does it travel during the first second?

Answers

using s= 1/2 a t^2
s = 1/2 x 35 x 1 = 17.5 m

Calculate the slope of the line on the graph.

Answers

Answer: 5

Explanation: rise over run. 25/5 = 5

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

velocity is derived physical quantity why​

Answers

Answer:

Velocity is “how much distance you cover in a particular time.” Space and time are fundamental quantities, and meters and seconds are their base units. Velocity is a combination of a space and a time, and therefore its units — “m/s” – are “derived” from the units for space and time

Theo is learning about sensation and perception. He is familiar with the five senses. He knows that the human sensory systems send information to the brain through the cranial nerves, but one sensory system sends information to the brain through the spinal nerves as well. Theo will recall which of our sensory systems can also send information to the brain through the spinal nerves? Select one: a. Taste b. Vision c. Hearing d. Touch

Answers

Answer:

Touch ( D )

Explanation:

The sense of touch can send information to the brain via the spinal cord and also in some cases the information sent by the sense of touch can as well be  processed via the spinal cord

The Touch sensory system is made up of sense receptors which carry the information to be sent to the Central nervous system which the brain and the spinal cord is an essential part

Which of the following is an accurate description of synaptic pruning?

Answers

Answer options:

A) Some connections are lost because critical stages of development were missed.

B) Some connections are lost so others can be strengthened.

C) Some connections are lost because of experimentation with drugs or alcohol.

D) Some connections are lost so that children become less dependent and are less tied to their parents.

Answer:

B) Some connections are lost so others can be strengthened.

Explanation:

Synaptic pruning refers to a natural process that occurs in the brain between childhood and adulthood. Extra synaptic connections are eliminated in order to increase the efficiency of neuronal communications. It is thought to be the brain’s way of removing connections that are no longer needed.

The helium that fills a balloon is an example of which state of matter? (1 point)

a
Solid

b
Liquid

c
Gas

d
Plasma

Answers

Gas pls mark the brainleiest

What is the design process (Engineering Design Process) 5 sentences

Answers

The design process is a approach taken to tackle projects into manageable sections.

As light from a star spreads out and weakens, do gaps form between the photons?

Answers

there are no gaps in space. the light from the star weekend as it travels, but it just reduces the strength and doesn’t produce gaps.

A car starts from rest and accelerates for 2.9 s
with an acceleration of 2 m/s2.
How far does it travel?
Answer in units of m.

Answers

Answer:

[tex]a \: = \frac{v - u}{t} [/tex]

2 = v-0/2.9

2× 2.9 = v

v = 5.8 m/s

[tex]v \: = \frac{d}{t} [/tex]

5.8 = d/2.9

5.8×2.9 = d

d = 16.82 m

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

witch of the following questoons would you expect to see on an interest inventory

Answers

Answer: Do you like science experiments ? 1)

Would You enjoy reading a fashion magazine? 2)

Explanation:

How do streams flow?

Answers

When rain falls on the land, it either seeps into the ground or becomes runoff, which flows downhill into rivers and lakes.

Answer: When rain falls on the land, it either seeps into the ground or becomes runoff, which flows downhill into rivers and lakes, on its journey towards the seas. As small creeks flow downhill they merge to form larger streams and rivers. Rivers eventually end up flowing into the oceans.

Explanation:

The air in a scuba tank is under more than 200 times the normal air pressure. Why should a filled scuba tank never be left in a hot car for an extended period of time?

Answers

Answer:

Burst open

Explanation:

it could create an explosion cause after some time the air wont be good anymore and staying inside a hot car is like someone sitting an oven it would burst open and create an explosion depending on the size of it

What would you not find on an acceleration graph? *
O pie chart
O x axis
O time
O velocity

Answers

Pie Chart is the correct answer

Calculate the TOTAL mechanical energy of pendulum is it swings from his highest point to its lowest point. Pendulum mass is 4 kg. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s^2.

Answers

Answer:

its should be 2.0 and 4.5 on it

A racehorse coming out of the gate accelerates from rest to a velocity of 12.0
m/s due west in 2.30 s. What is its average acceleration?
27.6 m/s^2
5.22 m/s^2
-5.22 m/s^2
-27.6 m/s^2
-0.19 m/s^2
O 0.19 m/s^2

Answers

Answer:

5.22 m/s²

Explanation:

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

Initial velocity (u) = 0 m/s

Final velocity (v) = 12 m/s

Time (t) = 2.3 s

Acceleration (a) =.?

Acceleration is defined as the 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 acceleration of the racehorse as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 12 m/s

Time (t) = 2.3 s

Acceleration (a) =.?

a = (v – u) /t

a = (12 – 0) / 2.3

a = 12 /2.3

a = 5.22 m/s²

Therefore, the average acceleration of the racehorse is 5.22 m/s²

What is the energy of a 478 kg object that is moving with a speed of 15 m/s

Answers

I’m sorry if I get this wrong but I’m pretty sure it’s 31.8

What is meant by the term total internal reflection? What two conditions must be met for total internal reflection to occur?

Answers

Answer:

Hello....

Explanation:

Total internal reflection, in physics, complete reflection of a ray of light within a medium such as water or glass from the surrounding surfaces back into the medium. The phenomenon occurs if the angle of incidence is greater than a certain limiting angle, called the critical angle.

The conditions required for total internal reflection (TIR) to occur are:

1)the light must be travelling from a more dense medium into a less dense medium (ie glass to air)

2)the angle of incidence must be greater than the critical angle.

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A supersaturated solution is one which A. has less solute dissolved than the solution should hold at that temperature. B. has more solvent dissolved than the solution should hold at that temperature. C. has more solute dissolved than the solution should hold at that temperature. D. has less solvent dissolved than the solution should hold at that temperature.

Answers

Answer:

Option C is correct

Explanation:

A supersaturated solution is one that has more solute dissolved than the solution should hold at that temperature.

Examples include carbonated water, sugar syrup, honey.

A solution of a chemical compound can be dissolved in heated water to prepare a supersaturated solution. A solution becomes supersaturated as its temperature is changed.

Answer:

Its A

Explanation:

difference between fundamental unit and derived unit​

Answers

Answer:

Fundamental units are the units of the fundamental physical quantities in SI system. They are not formed from other units. There are a total of seven fundamental units such as meter, kilogram, ampere, and second. Derived units are those units that are used for derived quantities.

A cyclist travels 10,000 meters at a speed of 2.5 m/sec. How long will it take to complete the trip?

Answers

Explanation:

we know that

speed= distance ×time

so

time = distance/speed

time= 10000/2.5

time= 4000 seconds

Answer: 4000 seconds, or about 67 minutes. Explanation: Plug the numbers into the equation to solve the problem: (total distance)/(distance per second) = total seconds. 10,000m/2.5m = 4000 seconds.

A force of 500 N acts for a time interval of 0.001 second on an object of mass 0.20 kg that was initially at rest. Calculate the final velocity of the object after the force acts

Answers

Answer:

100

Explanation:

The final velocity of the object after the force acts is 2.5 meters per second.

To calculate the final velocity of the object after the force acts, we can use Newton's second law of motion, which states that:

Force = Mass × Acceleration

We need to find the acceleration of the object first. Since the object was initially at rest, its initial velocity (u) is 0 m/s.

The force acting on the object is 500 N, and the mass of the object is 0.20 kg. We can rearrange the equation to find the acceleration (a):

Acceleration (a) = Force / Mass

a = 500 N / 0.20 kg

a = 2500 m/s²

Now, we can use the kinematic equation to find the final velocity (v) of the object:

Final velocity (v) = Initial velocity (u) + (Acceleration × Time)

The initial velocity (u) is 0 m/s (since the object was initially at rest), and the time interval (t) is 0.001 second.

Final velocity (v) = 0 m/s + (2500 m/s² × 0.001 s)

v = 0 m/s + 2.5 m/s

v = 2.5 m/s

Hence, the final velocity of the object after the force acts is 2.5 meters per second.

To know more about final velocity here

https://brainly.com/question/28608160

#SPJ2

Thermal energy is added to water. Which of the following describes the new state of matter?
A- An exothermic process has caused the phase change.
B- Kinetic energy of particles has decreased.
C- Bonds have been broken that hold particles in place.
D- Particles are attracted to each other and form bonds.

Answers

Answer:

Bonds have been broken that held particles in place

Explanation:

Boiling took place with use of thermal energy(heat energy), this will make particles to move faster and apart from each other bcos temperature is increased. Increase in temperature causes increase in kinetic energy

An object with a mass of 5kg has a force of 20N applied to it. What is the resulting acceleration of the object?​

Answers

Answer:

The answer is 4 m/s²

Explanation:

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

[tex]a = \frac{f}{m} \\ [/tex]

where

f is the force

m is the mass

From the question

f = 20 N

m = 5 kg

We have

[tex]a = \frac{20}{5} \\ [/tex]

We have the final answer as

4 m/s²

Hope this helps you

How can Newton's third law describe the forces affecting a rocket as it
descends to Earth's surface?
A. The rocket can move downward because the forces acting on it
are unbalanced.
B. The maximum amount of force the rocket engines can provide
determines how much mass the rocket can lift.
C. The rocket pushes through the air with a force equal to that of
Earth's gravity pulling on the rocket.
D. The force the rocket exerts on the air is in the direction opposite to
the force that the air exerts on the rocket.

Answers

Answer:

its D

Explanation:

i took the quiz

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Every action has an equal and opposite response, according to Newton's Third Law. Burning fuel in a rocket causes a push that propels the rocket forward from the front. As a result, the exhaust gas is pushed in the opposite direction and equally.

The force the rocket exerts on the air is in the direction opposite to

the force that the air exerts on the rocket.

To learn more about force refer to the link:

brainly.com/question/13191643

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For the past few days, the weather in Miami has been cool. When the temperature did warm up, the meteorologists noticed that it was also very windy. How could winds influence the temperature?

A. Winds carry energy in the form of heat around Earth.

B. Winds are caused by the energy of the sun.

C. Winds move because of differential heating.

D. Winds transfer energy in the form of heat from the air to the ground.

Answers

Winds transfer energy in the form heat from the air to the ground!
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