A space vehicle is coasting at a constant velocity of 22.4 m/s in the y direction relative to a space station. The pilot of the vehicle fires a RCS (reaction control system) thruster, which causes it to accelerate at 0.206 m/s2 in the x direction. After 40.5 s, the pilot shuts off the RCS thruster. After the RCS thruster is turned off, find (a) the magnitude and (b) the direction of the vehicle's velocity relative to the space station. Express the direction as an angle (in degrees) measured from the y direction.

Answers

Answer 1

Answer:

a. 23.9 m/s b. 69.58°

Explanation:

a. Since the space vehicle is moving at a constant velocity of 22.4 m/s in the y direction relative to the space station, its initial vertical velocity v = 22.4 m/s.

Also, since the space vehicle moves in the y direction, its initial horizontal velocity u = 0 m/s.

Since its acceleration a = 0.206 m/s² for time, t = 40.5 s, we find the final horizontal velocity u' from u' = u + at.

Substituting the values of the variables into the equation, we have

u' = u + at

u' = 0 m/s  + 0.206 m/s² × 40.5 s

= 8.343 m/s

≅ 8.34 m/s

The resultant velocity relative to the space station V = √(v² + u'²)

= √[(22.4m/s)² + (8.34 m/s)²]

= √[501.76 m²/s² + (69.56 m²/s²]

= √[571.32 m²/s²]

= 23.9 m/s

b. The direction of the vehicle's velocity relative to the space station is thus θ = tan⁻¹(v/u')

= tan⁻¹(22.4 m/s/8.34 m/s)

= tan⁻¹(2.6959)

= 69.58°


Related Questions

How to Calculate weight

Answers

Answer:

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity, which is 9.8 m/s2 on Earth. The formula for calculating weight is F = m × 9.8 m/s2, where F is the object's weight in Newtons (N) and m is the object's mass in kilograms.

Explanation:


For brainliest !!!!!!! Do it

Answers

Answer and Explanation:

Using a = F/m, we get:

Acceleration for Road A = 480/62 = ~7.74 m/s^2

Acceleration for Road B = 240/62 = ~3.87 m/s^2

Acceleration for Road C = 600/62 = ~9.68 m/s^2

If the net force becomes higher than 600N and the mass stays constant, the acceleration will increase proportionally to how much the force increases and the acceleration will be greater than the acceleration when the force is 600N.

I hope this helps! :)

I need help plz
Help meh

Answers

Answer:

6. False

7. a

8.kinetic

9. ek/n

10.True

Explanation:

Answer:

1. kinetic

2. d

3. b

4. true?

5. true

6. True

7. a

8. kinetic

9. Thermal

10. true

Which body system includes protection of internal organs and blood cell formation? (4 points)

a
Integumentary system

b
Muscular system

c
Skeletal system

d
Cardiac muscular system

Answers

Answer:

The answer is C Skeletal System

I believe the answer would be C which is the skeletal system.

How to get the radius from the circumference?

Answers

Answer:

The equation Pi = c/2r means that Pi (r) = c/2, so r = c / (2 Pi). The radius of a circle is therefore equal to c / (2 Pi), where c is the circumference of the circle.

Explanation:

We do not use water instead of mercury in a barometer.. why.​

Answers

Answer:

Required Answer:-We don't use water as Water don't expand when it came in connection of temperature.

a 5 kg mass is accelerated at a rate of 2.5 m/s/s. what is the force that is exerted on this object

Answers

Answer:

12.5 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 we have

force = 5 × 2.5

We have the final answer as

12.5 N

Hope this helps you

What is the end product of mitosis?
A. Four gametes
B. Two identical nuclei
C. One complete zygote
D. A cell with one set of chromosomes

Answers

Answer:

It is B

Explanation:

I did the test

From the given options, the end product of mitosis is Two identical nuclei (option b)

Mitosis is a fundamental cellular process that occurs in somatic (non-reproductive) cells, aiming to create two genetically identical daughter cells from one parent cell. It consists of several stages: prophase, metaphase, anaphase, and telophase.

During prophase, the chromatin (a combination of DNA and proteins) condenses into visible chromosomes, and the nuclear membrane disintegrates. In the subsequent stage, metaphase, the chromosomes align at the cell's equator, ensuring each daughter cell receives an equal number of chromosomes.

Next comes anaphase, where the paired chromosomes are pulled apart and move towards opposite poles of the cell. The final phase, telophase, involves the formation of two separate nuclei around the separated chromosomes.

At the end of mitosis, the single parent cell has divided into two genetically identical daughter cells, each containing a complete set of chromosomes. These daughter cells are fully functional and capable of carrying out their specific tasks within the organism.

So, the correct Answer: B. Two identical nuclei.

To know more about mitosis here

https://brainly.com/question/32255070

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what was the rule of the sticks on each atom model​

Answers

Answer:

That they must die

Explanation:

Stick = Die

Answer: That they must die


Excellent

So I don’t really get it can you also explain what’s the difference between radiation,conduction, and convection?

Answers

Answer:

I think its radiation

Explanation:

Conduction is the transfer of heat through solids (A)

Convection is the transfer of heat through liquids or gasses (B)

Radiation is the transfer of heat through em waves (C)

You place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water. Which observation is correct and why? A The food coloring in the hot water will spread more slowly than in the cold water because water molecules move more slowly when hot. B The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot. C The food coloring in the cold water will spread more quickly than in the hot water because water molecules move more quickly when cold. D The food coloring in the cold water will spread at the same rate at the food coloring in the hot water because water molecules at any temperature move at the same rate.

Answers

Answer:

B food coloring will move quicker in hot water because the molecules move faster when they are hot

Explanation:

SCIENCE! aaaaand my physics text book

Option B is correct:  The food coloring in the hot water will spread more quickly than in the cold water because water molecules move more quickly when hot since they have more kinetic energy.

Kinetic energy of the molecules:

According to the question, we place a drop of blue food coloring in a cup of cold water and another drop of food coloring in a cup of hot water and then observe the spreading of the blue color in both the cups.

Option B will be correct because the kinetic energy of the molecules of a gas or a liquid is directly proportional to the absolute temperature of the gas or the liquid.

High kinetic energy means that the molecules will have higher velocity, which will make it easier for any solvent to dissolve in water since it will spread faster.  

So the cup which has water at a higher temperature will have a faster spread of the food coloring.

Learn more about kinetic energy:

https://brainly.com/question/12669551?referrer=searchResults

9. According to statistical theory, 68% of your measurements of time should fall within the range of and of therefore about 3 of your 5 measurements should satisfy this condition. How many of your measurements fall within this range? Are your errors random according to this theory?

Answers

Answer:

Yes

Explanation:

Yes, this is a random error generating because of statistical constraint. We only have finite number of data points. As per this, if we plot our observation we will get a gaussian (inverse bell ) shaped curve with mean equal to central value.

An automobile travels a displacement of 75 km at 45 degrees north of East. How many kilometers north does it travel?

Answers

Answer:

the number of kilometers north it traveled is 53.03 km

Explanation:

The computation of the number of kilometers north it traveled is shown below:

Given that

The Displacement of 75 km

At east north of 45 degrees

Based on the above information, the number of kilometers is

= 75 × cos 45

= 53.03 km

Hence, the number of kilometers north it traveled is 53.03 km

We simply applied the above formula so that the correct value could come

And, the same is to be considered

I will mark a brainluest, And good ponits, Please help me out​

Answers

Answer:

gas, liquid and the last one is opaque solid

Explanation:

Answer:

gas, liquid and the last one is opaque solid

Explanation:

Betsy created the following mnemonic device to help her remember the order of the planets starting from the Sun: “Most Very Elegant Mammals Sleep Just Until Noon”. Why doesn’t her mnemonic work?
a) She has Saturn and Jupiter in the wrong order.
b) She has Mercury and Venus in the wrong order.
c) She has Uranus and Neptune in the wrong order.
d) She has Earth and Mars in the wrong order.

Answers

Answer:

A

Explanation:

The order of the planets in the solar system, starting nearest the sun and working outward is the following: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

A storage tank contains a liquid at depth y where y=0 when the tank is half full. liquid is withdrawn at a constant flow rate q to meet demands. the contents are resupplied at a sinusoidal rate 3qsin2(t). the equation can be written for this system as the

Answers

Answer:

y(t) = [tex]\frac{3Q}{2A} ( t - 1/2 sin2t ) - \frac{Q}{A} t + C[/tex]

Explanation:

Given data :

storage tank contains a liquid at depth ; Y

when tank is half full ;  y = 0

flow rate = q

sinusoidal rate = 3Q [tex]sin^{2} (t)[/tex]

Determine how the equation can be written for this system

solution is attached below

note ; from the question it can be seen that the surface area ( A )  is constant


How fast will a bug that is going 640cm in 320 seconds travel across the
floor? *
O 2 seconds
O 2.56 cm/s
O 40,000 seconds
O 2 cm/s

Answers

Answer:

2 cm/s

Explanation:

As, 640cm/320s = 2cm/1s

Therefore, 2cm/ s

In which of the following instrument is the image that is formed erect
a. Pin hole camera b. Simple camera c. microscope d. periscope​

Answers

Answer:

C. microscope

Explanation:

A simple microscope is magnifying glass, an ordinary double convex lens having a short focal length that produces virtual and erect image.

What does the big ‘2’ in 2CO2 mean?



Please help quickly i'm in science class

Answers

Answer:

It means you multiply everything after the "Big two"

Explanation:

Select all the correct answers.
Which situations describe an elastic collision?
(A) Two glass marbles bounce off each other.
(B) Rodrick flops onto his sofa and sinks into the cushion.
(C) A tossed water balloon flattens when it lands on the grass.
D) A bowling ball knocks over five pins.

Answers

I believe there are two correct answers, and those answers are A and D

Halp meeeeeeeeeeeeeeeeee

Answers

Answer:

1º all

2º 1

3º 2

4º the same

Explanation:

Which combustion product is a deadly gas that you cannot see or smell? O sulfur dioxide O carbon monoxide O carbon dioxide O sulfur monoxide​

Answers

Answer:

carbon monoxide

Explanation:

A motorcyclist drives around a bend with a 20 m radius, with a constant velocity of 3 m/s. The motorcyclist and the motorcycle have a combined mass of 50 kg. What is the motorcyclist’s centripetal acceleration?

Answers

Answer:

[tex]a=0.45\ m/s^2[/tex]

Explanation:

Given that,

The radius of a bend, r = 20 m

Velocity of motorcyclist, v = 3 m/s

The combined mass of motorcyclist and the motorcycle is 50 kg

We need to find the motorcyclist’s centripetal acceleration. The formula used to find the centripetal acceleration is given by :

[tex]a=\dfrac{v^2}{r}\\\\a=\dfrac{(3)^2}{20}\\\\a=0.45\ m/s^2[/tex]

So, the acceleration of the motorcyclist is [tex]0.45\ m/s^2[/tex].

How much time does it take a rhino running at 40 m/s to run 250 m?​

Answers

Answer:

Rhinoceroses are odd-toed ungulates native to sub-Saharan Africa and southern Asia, though all five living species have hugely contracted in range and number due to the influence of humans. Despite their titanic, tank-like bulk, rhinos can be amazingly swift: The fastest may reach at least 50 kilometers per hour (31 mph).

Explanation:

sana makatulong

What is the density of a piece of metal with a mass of 48g and a volume of 6 cm3

Answers

Answer:

A mineral has a volume of 6 mL and a mass of 12g.

Explanation:

Was this right?

The soprano's singing caused a drinking glass to shatter.
Explain why this happened using what you know about
resonance.

Answers

because sopranos voices are so high pitched they can make glass shatter from all the vibration in the room

Answer:

The soprano's singing matched the natural frequency of the glass, causing it to vibrate. The strong vibrations caused the glass to shatter.

Explanation:

edg 2020

Calculate the pressure exerted by the elephant (24000 Newtons) on the ground, assuming that
the total area of its feet is 0.8 m2.​

Answers

Answer:

3000 Pa

Explanation:

The pressure exerted by the elephant can be found by using the formula

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

f is the force

a is the area

From the question we have

[tex]p = \frac{2400}{0.8} \\ [/tex]

We have the final answer as

3000 Pa

Hope this helps you

Kinetic energy of 110 j and velocity of 70 m/s what is the mass

Answers

Answer:

0.04kg

Explanation:

Explanation in pics:

The formula for kinetic energy is KE = 1/2mv². So now the question asks for the mass, not KE. So we need to rearrange the formula so that we are calculating the mass. So, the formula for mass is m=KE/(1/2v²). Now we just substitute the values into the formula. Then just follow what it shows in the pic

At the top of a projectile's path above Earth, the acceleration of an object

Answers

Answer: At the top of a projectile's path above earth, the acceleration of an object. Compared to the range of a bullet shot horizontally, a bullet shot at a 30 degree angle.

Explanation: I hope that helped!

find the distance traveled in km when the average speed is 60 km per hour and the time taken is 3 and 1/2 hours​

Answers

Answer:

210 km

Explanation:

60 x 3  1/2 = 210

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