A model rocket Was built last weekend. We launched it in a nearby field. The rocket took off Straight up with an initial velocity 62.3 m/s. If it accelerates upward at 4.30 m/s2 until the engines stop 3.73 s later: (a) What is the maximum height the rocket reaches? (b) How long is the rocket in the air? (c) What is the velocity of the rocket as it hits the ground?

Answers

Answer 1

Answer:

a)  y_total = 575.4 m , b)   t_total = 22.56 s , c)  v = 106.20 m

Explanation:

a) We can solve this exercise using the scientific relations

Let's find the height reached while the engines are running

         v₁ = v₀ + a t

         v₁ = 62.3 + 4.30 3.73

         v₁ = 78.339 m / s

in this time it rose

        y₁ = v₀ t₁ + ½ a t₁²

        y₁ = 62.3 3.73 + ½ 4.30 3.73²

         y₁ = 262.29 m

At this moment the engines are turned off and the rocket continues in a vertical launch, suppose that the acceleration of gravity is constant in this path

        v₂ = v₁ 2 - 2 g y₂

       

at maximum height the velocity is zero (v₂ = 0)

        y₂ = v₁ 2 / 2g

        y₂ = 78.339 2/2 9.8

        y₂ = 313.11 m

the total height is

       y_total = y₁ + y₂

       y_total = 262.29 + 313.11

       y_total = 575.4 m

b) the time the rocket is in the air is

       t_total = t₁ + t₂

where t₂ is the time after the engines have shut down

       y = y₁ + v₁ t₂ - ½ g t₂²

      y = 0

      0 = 262.29 + 78.339 t₂ - ½ 9.8 t₂²

      t₂² - 15.99 t₂ - 53.53 = 0

      t₂ = [15.99 ±√ (15.99² +4  53.53)] / 2

      t₂ = [15.99 ± 21.67] / 2

      t₂´ = 18.83 s

      t₂´´ = -2.84 s

since the time must be a positive quantity the correct result is t2 = 18.83 s, the total time in the air is

      t_total = 3.73 + 18.83

      t_total = 22.56 s

c) the speed when it hits the ground

We can perform this calculation starting with the maximum height y = 575.4 m where it has zero initial velocity (vo = 0)

      v² = v₀² + 2 g y

      v = √ 2gy

       v = √ (2 9.8 575.4)

       v = 106.20 m


Related Questions

Why is an important to come up with a plan for how are you to respond to negative peer pressure before the situation happens
A: it is hard to refuse in the situation if you have not decided how you would handle it ahead of time

B: because it is very likely you will face these situation in the future

C: both a and b

Answers

Answer:

C ( is hard to refuse in the situation if you have not decided how you would handle it ahead of time

B: because it is very likely you will face these situation in the future)

A 1800 kg car moves along a horizontal road at speed v₀ = 18.4 m/s. The road is wet, so the static friction coefficient between the tires and the road is only µ static = 0.188 and the kinetic friction coefficient is even lower, µ kinetic = 0.1316. The acceleration of gravity is 9.8 m/s². What is the shortest possible stopping distance for the car under such conditions? (neglect the reaction time of the driver and round your answer to 4 decimal places)

Answers

Answer:

The shortest possible distance is  [tex]|s| = 91.9 \ m[/tex]

Explanation:

From the question we are told that

   The mass of the car is   [tex]m = 1800 \ kg[/tex]

    The speed along the horizontal road is  [tex]v_o =u = 18.4 \ m/s[/tex]

     The static friction coefficient is  [tex]\mu_s = 0.188[/tex]

      The kinetic friction coefficient is  [tex]\mu_k = 0.1316[/tex]

Generally the static frictional force acting on the car is  mathematically represented as

          [tex]F_f = m * g * \mu_s[/tex]

Generally the force propelling the car is mathematically represented as

        [tex]F = m * a[/tex]

Here a is the maximum acceleration

at the point which the car stops ,

       [tex]F = F_f[/tex]  

=> [tex]m * g * \mu_s = ma[/tex]

=> [tex]g * \mu_s =a[/tex]

=> [tex]a = 9.8 * 0.188[/tex]

=> [tex]a = 1.8424 \ m/s^2[/tex]

Generally from kinematic equation

    [tex]v^2 = u^2 + 2as[/tex]

Here v  is the final velocity of the car and the value is zero given that the car comes to rest

So

        [tex]0^2 = 18.4^2 + 2* 1.8424 s[/tex]

=>     [tex]s = - \frac{18.4^2}{2 * 1.8424}[/tex]

=>     [tex]|s| = 91.9 \ m[/tex]

How much air resistance acts on a 100-N bag of nails that falls at its terminal speed?

Answers

100N because it’s at terminal speed which means the forces are balanced

Juan makes an adjustment to an electromagnet that causes the electromagnet to lose some of its strength. What did Juan most likely do?

He reduced the number of loops in the wire.
He increased the number of loops in the wire.
He reduced the length of the wire.
He increased the length of the wire.

Answers

Answer:

Its A

Explanation:

To reduce the strength of an electromagnet, Juan must  reduced the number of loops in the wire.

What is electromagnetic field strength?

The strength of an electromagnetic is the effect or force that an electromagnet exerts in a given field.

The strength of an induced emf in a given magnetic field is given by;

emf = NBA/t

where;

N is number of turns of the magnetB is magnetic field strengthA is area of the coil

Decrease in number of turns of the wire, reduces the strength of the magnetic field.

Thus, to reduce the strength of an electromagnet, Juan must  reduced the number of loops in the wire.

Learn more about electromagnet here: https://brainly.com/question/12555869

#SPJ2


A 1500 kg car is parked at the top of a hill 5.2 m high. What is the velocity of the car, in meters per second, when it reaches the bottom of the hill?

Answers

Answer:

Explanation:

The car will fall with acceleration due to gravity which is equal to 9.8 m /s²

For downward fall ,

initial velocity u = o

acceleration due to gravity = g = 9.8 m /s

final velocity v = ?

displacement h = 5.2 m

v² = u² + 2 gh

v² = 0 + 2 x 9.8 x 5.2

= 101.92

v = 10.1 m /s

The chart shows the percentage of different elements in the human body.




Which element is the most prevalent in the human body?

nitrogen
hydrogen
carbon
oxygen

Answers

i believe that answer is nitrogen.

A cat rolls up a hill. It’s initial Velocity is 10 m/s.n It’s final velocity is 0 m/s. The time was five seconds. Calculate Acceleration

Answers

Answer:

[tex]\boxed {\boxed {\sf a= -2 \ m/s^2}}[/tex]

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

[tex]a=\frac{v_f-v_i}{t}[/tex]

The final velocity of the cat was 0 meters per second and the initial velocity was 10 meters per second. The time was 5 seconds.

[tex]v_f=0 \ m/s\\v_i=10 \ m/s\\t= 5 \ s[/tex]

Substitute the values into the formula.

[tex]a=\frac{0 \ m/s-10 \ m/s}{5 \ s}[/tex]

Solve the numerator.

0 m/s-10 m/s= -10 m/s

[tex]a=\frac{-10 \ m/s}{5 \ s}[/tex]

Divide.

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

The acceleration of the cat was -2 m/s². The negative acceleration indicates slowing down or stopping.

Una larga fanja de pavimento tiene marcas a intervalos de 10m. Los estudiantes usan cronometros para registrar los tiempos en que un automovil pasa por cada marca. Asi han obtenido los datos siguientes: Distancia,m l 0 l 10 l 20 l 30 l 40 l 50 l Tiempo,s l 0 l 2.1 l 4.2 l 6.3 l 8.4 l 10.5 l A) Cual es la rapidez media del vehiculo? B) Al cabo de cuanto tiempo la distancia es igual a 34m? C) Cual es la aceleracion del automovil?

Answers

Answer:

men

Explanation:

Which evidence did Alfred Wegener’s original theory of continental drift have access to?

Answers

Answer:

Evidence for continental drift

Wegener knew that fossil plants and animals such as mesosaurs, a freshwater reptile found only South America and Africa during the Permian period, could be found on many continents. He also matched up rocks on either side of the Atlantic Ocean like puzzle pieces.

Explanation:

A car’s velocity changes from 35 m/s to stopped in 13 seconds. Calculate
acceleration.

Answers

Answer:

Acceleration = 3m/s^2

Vf= 0  Vi =35m/s   t= 13s

Explanation:

[tex]Acceleration = \frac{Change in velocity}{Change in time}\\ = \frac{35m/s}{13s}\\ a = 2.69m/s^2\\ a = 2.7m/s^2\\ a = 3m/s^2[/tex]

Question 7 (2 points)
Rachel performed an experiment testing the hours students slept with their
performance on a test. In this experiment, the hours that they slept was the_____ variable, while the grade they got on
the test was the
_____ variable.

Answers

This has to do with independent and dependent variables. The independent variable is what affects the dependant variable, so the question is, does a students mark on a test affect their hours of sleep or does their hours of sleep affect their test results? Which one makes more sense? I would say the latter.

Answer the following questions

Answers

Answer:

9 - 10N to the left

10 - There is no change on the object

Explanation:

Can I have brainliest answer pls?

9- the answer is A 10N to left
10- the answer is C no change in the object
Hope this helps! :))

pls answer quick & an accurate answer will get brainliest

Answers

Answer:

3.766 kg or 3.7 kg

Explanation:

F= M*A equation

True or False: A cloud’s only purpose is to create precipitation.

Answers

Answer:

I think it's false

Explanation:

clouds also help regulate the Earth's energy balance by reflecting and scattering solar radiation and by absorbing the Earth's infrared radiation.

Answer:

false

Explanation:

What fonts do you use to create color coded lyrics

Answers

Pink and blue and white purple

A +4.0 uC charge is placed on the x axis at x= +3.0 m, and a -2.0 uC is located on the y-axis at y= -1.0 m. Point A is on the y axis at y= +4.0 m. Determine the electric potential at point A (relative to zero at the origin).

Answers

Answer:

The potential is  [tex]V_A = 9600 \ V[/tex]

Explanation:

From the question we are told that  

   The  magnitude of the charge is  [tex]q_1 = 4 \mu C = 4*10^{-6} \ C[/tex]

   The position of the charge is  [tex]x = + 3.0 \ m[/tex]

   The magnitude of the second charge is  [tex]q_2 = -2.0 \mu C = -2.0 *10^{-6} \ C[/tex]

   The position is  [tex]y_1 = - 1.0 \ m[/tex]

     The position of point A is  [tex]y_2 = + 4.0 \ m[/tex]  

Generally the electric potential  at A due to the first charge is mathematically represented as

         [tex]V_a = \frac{k * q_1 }{r_1 }[/tex]

Here k is the coulombs constant with value [tex]k = 9*10^{9} \ \ kg\cdot m^3\cdot s^{-4} \cdot A^{-2}[/tex]

        [tex]r_1[/tex]  is the distance between first charge and a which is mathematically represented as

         [tex]r_1 = \sqrt{x^2 + y_2 ^2 }[/tex]

=>      [tex]r_1 = \sqrt{3^2 + 4 ^2 }[/tex]    

=>      [tex]r_1 = 5 \ m[/tex]    

So

           [tex]V_a = \frac{9*10^9 * 4*10^{-6} }{5 }[/tex]

      [tex]V_a = 7200 \ V[/tex]

Generally the electric potential  at A due to the second charge is mathematically represented as

         [tex]V_b = \frac{k * q_2 }{r_2 }[/tex]

Here k is the coulombs constant with value [tex]k = 9*10^{9} \ \ kg\cdot m^3\cdot s^{-4} \cdot A^{-2}[/tex]

        [tex]r_2[/tex]  is the distance between second charge and a which is mathematically represented as

         [tex]r_2 = y_2 - y[/tex]

=>      [tex]r _2 = 4.0 - (-1.0)[/tex]    

=>      [tex]r = 5 \ m[/tex]    

So

           [tex]V_a = \frac{9*10^9 * -2*10^{-6} }{5 }[/tex]

      [tex]V_a = -3600 \ V[/tex]

So the net potential difference at point A  due to the charges is mathematically represented as

       [tex]V_n = V_a + V_b[/tex]

=>     [tex]V_n = 7200 - 3600[/tex]

=>     [tex]V_n = 3600 V[/tex]

Generally the net potential difference at the origin due to both charges is mathematically represented as

     [tex]V_N = V_c + V_d[/tex]

Here  

      [tex]V_c = \frac{k * q_1 }{x}[/tex]

=>   [tex]V_c = \frac{9*10^9 * 4*10^{-6} }{3}[/tex]

=>   [tex]V_c = 12000 V[/tex]

and

              [tex]V_d= \frac{k * q_2 }{y}[/tex]

=>   [tex]V_c = \frac{9*10^9 * -2*10^{-6} }{1}[/tex]

=>   [tex]V_c =- 18000 V[/tex]

Generally the net potential difference at the origin is  

       [tex]V_N = 12000 - 18000[/tex]

=>     [tex]V_N = -6000[/tex]

Generally the potential difference at A relative to zero at the origin is mathematically evaluated as

         [tex]V_A = V_n - V_N[/tex]

=>      [tex]V_A = 3600 - (-6000)[/tex]

=>      [tex]V_A = 9600 \ V[/tex]

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235m below. If the plane is traveling horizontally with a speed of 250 km/h (69.4m/s), (a) how far in advance of the recipients ( horizontal distance) must the goods be dropped. (b) Suppose, instead that the plane release the supplies a horizontal distance of 425m in advance of the mountain climbers. What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climber's position? (c) with what speed do the supplies land in the latter case

Answers

Answer:

Explanation:

For vertical displacement of food-supply

if time taken to reach the ground be t

235 = 1/2 g t²  , initial velocity downwards is zero.

t = 6.92 s

Horizontal displacement of food during this period

= 6.92 x 69.4 m

= 480.25 m .

b )

time required to cover horizontal distance of 425 m

= 425 / 69.4 = 6.124 s  

This time period will be the time of vertical fall of 235 m . Let initial vertical velocity required be u

h = ut + 1/2 gt²

235 = u x 6.124 + .5 x 9.8 x 6.124²

235 = u x 6.124 + 183.76

u = 8.36 m /s

c )

v = u + gt

= 8.36 + 9.8 x 6.124

= 68.37 m /s

This will be vertical component of velocity .

horizontal velocity = 69.4 m /s

resultant velocity = √ ( 68.37² + 69.4²)

= √(4674.45 +4816.36)

= 97.42 m /s

Which term best explains why you hear an echo?

Answers

Answer:

reflection

Explanation:

Answer:

reflection

Explanation:

A p e x

Conduction In Everyday Life Examples
at least 5 plz help

Answers

1. Heat transfer from a hot burner on the stove into a pot or pan

2. A metal spoon that gets hot from the boiling water

3. Chocolate candy in your hand that melts because of the heat

4. The wires in your house that conduct electricity

5. Roasting marshmallows, the heat will soften the marshmallow

Answer:

the engine heat from a car you just turned on.

a heater

a pad warmer

a hot pot

using a campfire to roast hot dogs

gold has a density of 19300 kg/m3 calculate the mass of 0.02m3 of gold in kilograms​

Answers

Mass if a substance is the product of its volume and density. The mass of gold of 0.02 m³ with a density of 19300 kg/m³ is 386 kg.

What is density?

Density of a substance is the measure of its mass per unit volume. Thus, it says how much denser the object is in a given volume. Density of a substance is dependent on its bond type, temperature and pressure beside the volume and mass.

Volume can be defined as the space occupied by the substance. Larger the volume , less dense the substance is. However as the mass increases volume also increases.

Mass of an object is the product of its volume and density.

Given the volume of gold = 0.02 m³

density = 19300 kg/m³.

mass = volume ×  density

         = 0.02 m³ × 19300 kg/m³

         = 386 kg

Therefore, the mass of gold is 386 Kg.

To find more on gold, refer here:

https://brainly.com/question/11405288

#SPJ6

Where does digestion begin?

Answers

Answer:

Digestion begins in the mouth, when you chew.

It begins when u eat the food

What is Newtons third law of motion? ​

Answers

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. Explanation:

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction

Explanation:

In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects.

A standing wave has a frequency of 471 Hz and a wavelength of 1.9. What is the speed of the
wave? (Round to the 2nd number after the decimal)
1
I REALLY NEED HELP !

Answers

Answer:

c = 894.90 m/s

Explanation:

Given data:

Frequency of wave = 471 Hz

Wavelength of wave = 1.9 m

Speed of wave = ?

Solution:

Formula:

Speed of wave = frequency × wavelength

c = f×λ

c = 471 Hz × 1.9 m

  Hz = s⁻¹

c = 471s⁻¹ × 1.9 m

c = 894.90 m/s

The speed of wave is 894.90 m/s.

HELPP ITS DUE IN 5 MINUTES FREE BODY DIAGRAMS

Answers

Answer:

I think it's part c . but sorry if its wrong

A man exerts a force on a large couch by pushing on it. Which of the following must be a true statement about the couch after he begins pushing?

A. The couch will maintain a constant acceleration due to the man's push.
B. The couch will remain at rest.
C. The couch will remain at rest if the push does not overcome the force of friction.
D. The couch will accelerate and then remain at a constant velocity.

Answers

Answer: the answer is c

Explanation:

Other Questions
PLEASE HELP ME ASAP I WILL NAME YOU BRAINLY IF YOU ANSWER CORRECTLY!!!!! Directions: Create a timeline of important events/people in journalism. Your timeline should contain at least ten items. For each of those ten items on the timeline, briefly explain what the event or person contributed to journalism. THESE 2 QUESTIONS ASAP PLS! BRAINLIEST!! Use the table. Make a scatter plot relating the distance of various cities from the metro area to the population of the cities. SOMEONE HELP ASAP ILL GIVE BRAINLIEST Tell us how you would counsel an individual with diabetes about the nutritional requirements to meet their specific goals. Which term best explains why you hear an echo? Which has a slope of -2? Es la expresin que representa un binomio al cuadrado What is the value of the expression shown below?Please use the photo for whole question, it shows the answers. The nationwide results of the Implicit Association Tests revealed that most people, regardless of their race or ethnicity, have ... a. a slight, moderate or strong preference for black people over white people b. a slight, moderate or strong preference for their own race over the other race c. no preference for one race over another d. a slight, moderate or strong preference for white people over black people HELPP!!!!!Which piece of evidence would directly support the following claim?The White House helps and supports women in business.More than $13.6 billion in payments of $250 each were provided to seniors and veterans as part of the Recovery Act, a substantial percentage of which went to women.More than 16,000 federal loans totaling more than $4.5 billion were granted to women-owned small businesses.An estimated 4.9 million women were kept out of poverty in 2010 because of expansions in refundable tax credits such as the Earned Income Tax Credit and Child Tax Credit.9.4 million students and families have benefited from the American Opportunity Tax Credit to help pay for college. Select the sentence/statement from paragraph 1 of Passage 1 that offers younger teens hope for finding a job for the summer.Well, think for a second about how awesome it would be to have a job."Not only would you earn money, but you'd also learn about how the world works, and who knows you might even find your life's passion (or realize that you never, ever want to sit at a desk all day, even if you were president of the entire company)."Many employers hire teens as young as 14-or even younger for more informal gigs, like babysitting, errand running, or yard work."So read on to find out what you need to know about taking that big leap from being a kid on the couch to a gainfully employed teen."] whats the slope of the line y-9=15 x-5 Let f be a function such that f(2) f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum? Which organisms inhaled CO2 and exhaled 02 to 100s of millions of years, increasing the amount of O2 in the atmosphere? what would be the slope intercept form? Describe a personal or professional obstacle Steinbeck faced The pair figures are similar.find the missing side Why do (not to be rude or offensive or anything) but why do old people put their teeth in cups of water when they go to bed? Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70 E A Your answer What is the opposite integer of (7)?