1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
3 years ago
15

A model rocket is launched straight upward with an initial speed of 50.6 m/s. It accelerates with a constant upward acceleration

of 2.74 m/s2 until its engines stop at an altitude of 160 m. What is the maximum height reached by the rocket? The acceleration of gravity is 9.81 m/s 2 . Answer in units of m.
Physics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

The maximum height reached by the rocket is 335 m.

Explanation:

The height of the rocket will be given by two equations:

y = y0 + v0 · t + 1/2 · a · t²    (while the engines are in function)

y = y0 + v0 · t + 1/2 · g · t² ( after the engines stop)

Where:

y = height at time t.

y0 = initial height.

v0 = initial velocity.

t = time.

a = acceleration due to the engines.

g = acceleration due to gravity (-9.81 m/s² considering the upward direction as positive)

In the same way, the velocity of the rocket will be given by two equations:

v = v0 + a · t

v = v0 + g · t

Where "v" is the velocity at time "t".

When the engines stop, the rocket is no more accelerated in the upward direction but it continues going up because it already has an upward velocity that will start decreasing until it becomes 0 m/s at the maximum height.

So, let´s find the velocity reached while the rocket was accelerated in the upward direction. For that, we need to know the time at which the engines stop, i.e., the rocket reached an altitude of 160 m.

y = y0 + v0 · t + 1/2 · a · t²

Since the origin of the frame of reference is located at the launching point, y0 = 0.

160 m = 50.6 m/s · t + 1/2 · 2.74 m/s² · t²

0 = 1.37 m/s² · t² + 50.6 m/s · t - 160 m

Solving the quadratic equation:

t = 2.93 s  

Now, using the equation of velocity:

v = v0 + a · t

v = 50.6 m/s + 2.74 m/s² · 2.93 s

v = 58.6 m/s

This velocity is the initial velocity of the rocket when it starts being accelerated downward due to gravity. When the rocket is at its maximum height, the velocity is 0. Then, we can calculate the time at which the rocket is at its max-height and with that time we can calculate the height:

v = v0 + g · t

0 = 58.6 m/s - 9.81 m/s² · t

-58.6 m/s / -9.81 m/s² = t

t = 5.97 s

Then, the maximum height will be:

y = y0 + v0 · t + 1/2 · g · t²

y = 160 m + 58.6 m/s · 5.97 s - 1/2 · 9.81 m/s² · (5.97 s)²

y = 335 m

The maximum height reached by the rocket is 335 m.

You might be interested in
In order to transmit information via radio waves, the waves need to be changed somehow. For car radios this can happen in two wa
laila [671]

Answer: amplitude

Explanation: This describes the maximum amount of the displacement of a particle from it rest position. Usually, it is measured in metres

Since we are considering AM which is amplitude modulation, a technique used in electronic communication, most commonly for broadcasting information through a radio carrier wave. In amplitude modulation, the amplitude (signal strength) of the carrier wave is diversified in proportion to that of the message signal being broadcasted.

7 0
3 years ago
Can you help me ASAPPP please help me
AveGali [126]

Answer:it is a

Explanation hope this helps .

6 0
3 years ago
Describe, in as much detail as you can, how the energy
GalinKa [24]

Answer:

As a type of thermal power station, a coal-fired power station converts chemical energy stored in coal successively into thermal energy, mechanical energy and, finally, electrical energy. The coal is usually pulverized and then burned in a pulverized coal-fired boiler.Coal-fired plants produce electricity by burning coal in a boiler to produce steam. The steam produced, under tremendous pressure, flows into a turbine, which spins a generator to create electricity.

8 0
3 years ago
A 3.0-kg block moves up a 40o incline with constant speed under the action of a 26-N force acting up and parallel to the incline
CaHeK987 [17]

Answer:

it is very hard question for me sorry i cant solve it

3 0
3 years ago
Brainly the unit of current in which 6,240,000,000,000,000,000 electrons flow past a given point in a circuit in one second is t
BigorU [14]
In electronics, the SI unit for current is Ampere. It is the amount of charge in Coulombs per unit time. It is named after the father of electrodynamics, Andre-Marie Ampere. Also, the current can be easily determined through the Ohm's Law, which states that current is equal to volts divided by the resistance. The answer is letter D.
5 0
3 years ago
Read 2 more answers
Other questions:
  • What location on earth that is directly hit by the light during a summer solstice?
    13·1 answer
  • A proton travels through a region of uniform magnetic field at an angle \thetaθ relative to the magnetic field. The magnitude of
    5·1 answer
  • A burning candle is covered by a jar as shown in the picture. The whole arrangement has a mass of 500 g. What will be the approx
    15·2 answers
  • The position coordinate of a particle which is confined to move along a straight line is given by s =2t3−24t+6, where s is measu
    6·1 answer
  • If a body with a mass of 4 kg is moved by a force of 20 N, what is the rate of its acceleration?​
    9·1 answer
  • A box that is sliding across the floor experiences a net force of 10.0 N. If the box has a mass of 1.50 kg, what is the resultin
    15·1 answer
  • In " m a x f o r t e d u c a t i o n " . what is probability of vowels.​
    13·1 answer
  • PLEASE HELP! WILL MARK BRAINLIEST!
    9·1 answer
  • What is the mass of a dog house on Jupiter if the house weighs 1,040 N and the acceleration due to gravity on Jupiter is 26 m/s?
    6·1 answer
  • A toy boat moves horizontally in a pond. The horizontal position of the boat in meters over time is shown below.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!