A rocket moves straight upward, starting from rest with an acceleration of +29.4 m/sec2 . It runs out of fuel after 4 seconds and continue to rise, reaching a maximum height before falling back to Earth. a) Find the rocket's velocity and height at the moment fuel ends. b) Find the maximum this rocket can reach. c) Find the velocity the instant before the rocket crashes on the ground.

Answers

Answer 1

Answer:

(a). The rocket's velocity is 117.6 m/s.

(b). The rocket can reach at maximum height is 940.8 m.

(c). The velocity the instant before the rocket crashes on the ground is 135.7 m/s.

Explanation:

Given that,

Acceleration = 29.4 m/s²

Time = 4 sec

(a). We need to calculate the rocket's velocity

Using equation of motion

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

Put the value into the formula

[tex]v=0+29.4\times4[/tex]

[tex]v=117.6\ m/s[/tex]

We need to calculate the maximum height at the moment fuel ends

For the value of x₁

Using equation of motion

[tex]x_{1}=ut+\dfrac{1}{2}at^2[/tex]

Put the value into the formula

[tex]x_{1}=0+\dfrac{1}{2}\times29.4\times4^2[/tex]

[tex]x_{1}=235.2\ m[/tex]

We need to calculate the value of x₂

Using equation of motion

[tex]v^2=u^2-2gx_{2}[/tex]

Put the value into the formula

[tex]0=u^2-2gx_{2}[/tex]

[tex]x_{2}=\dfrac{u^2}{2g}[/tex]

Put the value in to the formula

[tex]x_{2}=\dfrac{117.6^2}{2\times9.8}[/tex]

[tex]x_{2}=705.6\ m[/tex]

(b). We need to calculate the maximum this rocket can reach

Using formula for height

[tex]H=x_{1}+x_{2}[/tex]

Put the value into the formula

[tex]H=235.2+705.6[/tex]

[tex]H=940.8\ m[/tex]

(c). We need to calculate the velocity the instant before the rocket crashes on the ground

Using equation of motion

[tex]v^2=u^2+2gh[/tex]

Put the value into the formula

[tex]v=\sqrt{2\times9.8\times940.8}[/tex]

[tex]v=135.7\ m/s[/tex]

Hence, (a). The rocket's velocity is 117.6 m/s.

(b). The rocket can reach at maximum height is 940.8 m.

(c). The velocity the instant before the rocket crashes on the ground is 135.7 m/s.


Related Questions

2
If the velocity of a bicycle is 10 m/s, how long will it take to cover a distance
of 18 km?
(Ans: 1800 s)

Answers

Answer:

1800 sec = 30 min

Explanation:

Hi there !

18km = 18×1000m = 18000 m

1 s ............... 10m

x s ...............18000m

x = 1×18000/10 = 1800 sec = 30 min

Good luck !

What are two ways engineers use their understanding of kinetic energy and potential energy to make their designs better/ safer?

Answers

Answer:

On a roller coaster, energy changes from potential to kinetic energy and back again many times over the course of a ride. Kinetic energy is energy that an object has as a result of its motion. Traditionally, the coaster cars are pulled up the first hill by a chain; as the cars climb, they gain potential energy.

Mechanical engineers are concerned about the mechanics of energy — how it is generated, stored, and moved. For example, mechanical and civil engineers ensure that there is sufficient potential energy, which is converted to kinetic energy, to move cars along an entire roller coaster ride.

What is kinetic energy ?

"Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy."

What is potential energy ?

"Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors."

Potential energy, stored energy that depends upon the relative position of various parts of a system. A spring has more potential energy when it is compressed or stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth.

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the diagram deliver of uniform mass supported at the middle point six Queens of equal mass are placed at mark 4 on on the lift hand side can you balance the liver with 12 Mor coins of equal mass if yes where where would you place them if if not why​

Answers

Answer:

hmm I don’t understand

Explanation:

How long does it take an airplane to fly 1200 miles if it maintains a speed of 300 miles per hour

Answers

Answer:

The answer is

4 hrs

Explanation:

To find the time taken we use the formula

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

where

d is the distance covered

v is the velocity

t is the time

From the question

d = 1200 miles

v = 300 mi/hr

We have

[tex]t = \frac{1200}{300} = \frac{12}{3} \\ [/tex]

We have the final answer as

4 hrs

Hope this helps you

what comes down, but never goes up?

Answers

Answer:

The answer is RAIN!!!!!!

Explanation:

Rain always goes back up in the form of condensation, steam etc etc etc. That is where the rain comes from

How far will a football travel if it is booted at a speed of 15 m/s and travels for 3 seconds?

Answers

Answer:

d= 45 m

Explanation:

speed = distance / time

15= d/ 3

d= 45 m

A football was kicked so that it traveled 65 yards in 3.0 total seconds. What was the speed
and angle above horizontal that the ball was kicked?

Answers

Answer:

vx = 65 yd/3 sec  = 21.7 yd/sec  since horizontal speed is constant

vy = g t = (32 / 3) yd/sec^2 * 1.5 sec = 16 yd/sec   where 32/3 is the acceleration due to gravity in yds / sec^2  and 1.5 is the time to travel each way in the vertical direction

V = (vx^2 + vy^2)^1/2 = (21.7^2 + 16^2)^1/2 = 27 yd/sec

tan theta = vy/vx = 16 / 21.7 = .737    theta = 36.4 deg

You can check using the range formula:

R = v^2 sin (2 theta) / g = 27^2 * .955 / (32 / 3) = 65.3 yds  

The difference from 65 yds may be rounding error.

unlike other states of matter, what expand to fill their containers

Answers

Answer:

gas

Explanation:

Answer:

Person above me is big brain!

Explanation:

They are correct!

Give them some love and mark them as brainliest!

Calculate the distance a baseball will travel if it moves at a speed of 30 m/s for 2.5 seconds.

Answers

Answer:

speed = 12 miles per second

= 12 mi/s

Explanation:

I need help with these 2 questions asap please ​

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Answer:

for number 10

I can't see what needs to be calculated for the first question though

Natural history research involves ____ unobsevable and unrepeatable past events.
A. Interpreting B. Verifying C. Asking
please answer soon

Answers

b verifying is the answer

As a ball rolls downhill it increases in speed from 6 km/hr to 3 m/s in 5 seconds. What is
the acceleration of the ball in m/s squared?
(This question is also math)

Answers

Answer:

0.267 m/s^2

Explanation:

6 km/hr * 1hr/ 3600 sec * 1000m/ 1 km

1.67 m/s to 3 m/s

vf=vi+at

3 m/s= 1.67 m/s+ a(5 s)

a=0.267 m/s^2

__________________ is the process by which sediments get pressed together.

Answers

Answer:

compaction

Explanation:

the answer is compaction

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Answers

Answer: Speed

Explanation:

Speed is Defined as defined as D/T or distance over time

a cricket ball is hit so that it travels straight up in the air and it require 3 second to reach the maximum height its initial velocity is

Answers

Answer:

v = u - gt

At maximum heitht, v = 0

0 = u - (9.8)(3)

u = 29.4 m/s initial velocity

what is the definition of sewer?

Answers

Answer:

an underground conduit for carrying off drainage water and waste matter

Explanation:

Answer:

an underground conduit for carrying off drainage water and waste matter.

Explanation:

List three ways a
a home may become more energy efficient.

Answers

Answer:

1. Installing solar panels on the roof. This is an example of renewable energy, and solar panels help provide electricity for a home.

2. Using LED lights instead of traditional lightbulbs. The modern LED lights use much less electricity and function up to 90% more efficiently than the traditional lightbulbs.

3. Using rain barrels to collect water from the roof. Installing rain barrels to collect rainwater to water your plants and garden is a great way to save water and cut down on your water bill.

Hope this helps! :)

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Explain how you got your answer.

Answers

Answer:

F = 0.483 N

Explanation:

Initial momentum, [tex]P_i= 7\ kg-m/s[/tex]

Final momentum, [tex]P_f= 22\ kg-m/s[/tex]

Time, t = 31 s

We need to find the force of a lead ball. We can use here the impulse momentum theorem.

[tex]\text{Change in momentum}=F\times t[/tex]

F is force

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So, the force is 0.483 N.

During a race, a sprinter increases from 4.0 m/s to 6.0 m/s over a period of 1.5 s. What is the sprinter’s average acceleration during this period? (10 Points) 1 meter per second squared 1.3 meters per second 2.0 meters per second 1.3 meters per second squared

Answers

Answer:

[tex]a=1.3\ m/s^2[/tex]

Explanation:

It is given that,

Initial velocity, u = 4 m/s

Final velocity, v = 6 m/s

Time, t = 1.5 s

We need to find the average acceleration of a sprinter during this period. We know that the rate of change of velocity of an object is equal to its acceleration. So,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{(6-4)\ m/s}{1.5\ s}\\\\a=1.33\ m/s^2[/tex]

So, the acceleration of the sprinter is [tex]1.33\ m/s^2[/tex]. Hence, the correct option is (d).

Eric is walking forwards at 0.5 m/s and then hears a black
bear charging from behind. He continues to move forward
and increases his speed to 10 m/s within 3 seconds. What was
Eric's acceleration?
0 3.2 m/s
O 3.2 m/s^2
0 -3.2 m/s^2
O 10 m/s^2
O Other:​

Answers

Answer:

3.2 m/s^2

Explanation:

current velocity minus intitial velocity, divided by time: a=(v2-v1)/t

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Answer:

The Earth Revolves around the sun because the Earth Tilts, we have night and day.

Explanation:

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Sample Response: Surface tension is the result of
water molecules pulling inward with a strong attractive
force. This attractive force brings the molecules on the
surface of the water close together and causes the surface
of the water to be drawn toward the water molecules
beneath the surface. Since there are no water molecules
above the surface, there are uneven forces. This causes
surface tension, allowing the coin to float on the water's
surface
What did you include in your response? Check all that
apply.
Surface tension is the result of water molecules
pulling inward with a strong attractive force.
The attractive force brings the molecules on the
surface of the water close together.
The attractive force causes the surface of the water
to be drawn toward the water molecules beneath
the surface.
Since there are no water molecules above the
surface, there are uneven forces. This causes
surface tension, allowing the coin to float on the
water's surface.

Answers

Answer:

1

2

3

4

Explained:

All the statement are correct about surface tension of water. Due to this force, water surface exhibit peculiar properties  compared to the bulk of the system.

What is surface tension ?

Surface tension is the potential for liquid surfaces that are at rest to condense into the smallest surface area. Razor blades and insects, which have a density greater than that of water, may float on the surface of the water without even getting partially buried because to surface tension.

Surface tension at liquid-air contacts originates from the liquid molecules' stronger attraction to one another owing to cohesion than to the air molecules due to adhesion.

Surface tension is the result of water molecules pulling inward with a strong attractive force. The attractive force brings the molecules on the surface of the water close together makes attractive force causes the molecules to be drawn toward the water molecules beneath the surface.

Since there are no water molecules above the surface there are uneven forces. This causes surface tension, allowing the coin to float on the water's surface.

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Answers

Answer:

Because there is no gravity determining where you are.

Explanation:

I hope this helps

have a good day :)

RACTICE Uranium (molar mass = 283.03 g/mol) has the largest molar mass of any element naturally found on Earth. What is the mass of 7.50 mol of uranium?​

Answers

Answer:

The answer is 2122.73 g

Explanation:

The mass of a substance given it's molar mass and number of moles can be found by using the formula

mass = Molar mass × number of moles

From the question

molar mass = 283.03 g/mol

number of moles = 7.5 mol

So we have

mass = 283.03 × 7.5 = 2122.725

We have the final answer as

2122.73 g

Hope this helps you

5. Select all of the following which are vector values. *
(3 Points)
Distance
Displacement
Speed
Velocity
Option 5
Acceleration

Answers

Answer:bum

Explanation:

In the early 1600s, Galileo Galilei performed a series of experiments to measure the acceleration of a ball rolling down a smooth inclined plane. He tried several ways to measure time, including water clocks and his own pulse. Suppose his pulse rate was 66 beats per minute, and he counted 11 beats for the ball to roll down the plane. How many seconds was the ball rolling?

Answers

Answer: A

Explanation: ive done this already bro i just wanted to help

A student rode her bike to a friend’s house. She traveled 30 meters in 5 minutes and stopped one time along the way: ---------

Constant speed
Average speed
Velocity
negative acceleration

A car traveled at the same speed of 110 km/ hr around an oval track: ------------
Fill In the Blank

Answers

Answer:

1-Average speed

2-constant

Explanation:

Question 1 : You have the distance and time , need to find average speed

Question 2 : traveling at the same speed that means it's constant

A student examined a patch of mud and recorded several statements about footprints in the mud. Which statement is most likely an inference? A. There are ve footprints in the mud B. The depth of the deepest footprint is 3 centimeters C. The footprints were made by a dog D. The footprints are oriented in an east-west direction

Answers

Answer:

C

C. The footprints were made by a dog.

The student may have noticed specific characteristics or features in the footprints that lead them to believe that they were made by a dog.

Hence, the correct option is C.

An inference is a conclusion or deduction based on evidence or observations. It involves making an educated guess or interpretation about something that may not be explicitly stated.

Out of the provided options, the most likely inference is The footprints were made by a dog.

This statement is an inference because it involves making a conclusion based on the observed footprints in the mud. The student may have noticed specific characteristics or features in the footprints that lead them to believe that they were made by a dog.

However, this inference might not be a definite conclusion, as there could be other animals or factors that create similar-looking footprints in the mud.

Therefore, The student may have noticed specific characteristics or features in the footprints that lead them to believe that they were made by a dog.

Hence, the correct option is C.

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If you could solve one of
the world's greatest problems, which one would
you choose? Why did you choose this problem to
solve?

Answers

Answer:

the pollution

Explanation:

because is making big consecuences in the world

If I could solve one of  the world's greatest problems, then I would  like to choose pollution problem.

I would choose the pollution problem to be solved because it affects various natural resources of the environment.

Pollution is one the biggest issue in the world these days and It is rising day by day. It affects the environment directly or indirectly.

There are various types of pollution. Some of thees are

Water pollutionAir pollutionNoise pollution.

The main cause of water pollution is various toxic substances got mixed in various water resources.

Similarly Air Pollution happens because of the harmful gases and substances present in the air.

Noise pollution occurs due to the sound of machines, loud musics and sound of vehicles.

Every human being should take steps to solve the issue of the pollution.

For more information about the pollution, follow the link given below.

https://brainly.com/question/1040743.

Which will hit the ground first if a golf ball and a soft ball are dropped from the same height simultaneously?

Answers

Answer:

they both would hit at the same time

Explanation:

Answer: Whichever one is heavier will hit first

Explanation:

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