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
spayn [35]
3 years ago
13

A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.6 m/s at ground level.

The engines then fire, and the rocket accelerates upward at 3.90 m/s2 until it reaches an altitude of 1040 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (you will need to consider the motion while the engine is operating and the free-fall motion separately.) (a) for what time interval is the rocket in motion above the ground?
Physics
2 answers:
bezimeni [28]3 years ago
5 0

solution:

y = v0t + ½at²

1150 = 79t + ½3.9t²

0 = 3.9t² + 158t - 2300

from quadratic equations and eliminating the negative answer

t = (-158 + v158² -4(3.9)(-2300)) / 2(3.9)

t = 11.37 s to engine cut-off

the velocity at that time is

v = v0 + at

v = 79 + 3.9(11.37)

v = 123.3 m/s

it rises for an additional time

v = gt

t = v/g

t = 123.3 / 9.8

t = 12.59 s

gaining more altitude

y = ½vt

y = 123.3(12.59) /2

y = 776 m

for a peak height of

y = 776 + 1150


Mkey [24]3 years ago
3 0

Answer:

t = 31.52 s, the time until the crash

t = 42 s, time to the motion

Explanation:

We have the following data:

so = 0

vo = 80.6 m/s

a = 3.90 m/s^2

s = 1040 m

replacing in the distance equation we have:

s = so + vo*t + (a*t^2)/2

s = 0 + 80.6*t + (3.9 * t^2)/2 = 1040

clearing t:

t = 10.48 s

v1 = v2o = vo + a*t = 80.6 + (3.9 * 10.48) = 121.472 m/s

s2 = 1040 + 121.472t - (9.8*t^2)/2

0 = 1040 + 121.472t - (9.8*t^2)/2

Clearing t:

t = 31.52 s, the time until the crash

t = 42 s, time to the motion

You might be interested in
A child pulls a wagon with a force F at an angle o with respect to the horizontal. Which of the following free body diagrams is
NeTakaya

Option d) is the correct free body diagram.

Explanation:

A free-body diagram is a diagram that shows all the forces acting on a body. Each force is represented using an arrow, where:

- The length of the arrow is proportional to the magnitude of the force

- The direction of the arrow corresponds to the direction of the force

For the block in this problem, we have the following forces:

- The force F applied from the child, which acts at an angle with respect to the horizontal --> this rules out option a) and c), where the force acts horizontally

- The force of gravity (the weight of the object), labelled with W, which always acts downward --> this rules out option b), since the weight acts downward.

Therefore, the correct option is d).

(in reality, there should be another force: the normal reaction exerted by the floor on the block, N, acting upward).

Learn more about forces and weight:

brainly.com/question/8459017

brainly.com/question/11292757

brainly.com/question/12978926

#LearnwithBrainly

5 0
3 years ago
According to Newton's third law of motion, which of the following best describes the forces of the tennis racket and the ball?
Effectus [21]

Answer:

OA is the answer

Newton's third law of force states that: for every action (force) in nature there is an equal and opposite reaction. what this means is that if I push on you, you're also pushing me because I have slowed down but now you are falling to the mud.

if you have ever seen newtons balls then you will know what I am talking about, one is moving then it hits the other and it stops moving because now the other one is moving,

I hope this makes sense, if it doesent then go to the net and watch some videos on Newtons third law

hope it helped

8 0
3 years ago
Help me , what is the properties of fluids ? ​
rodikova [14]
Some of the most fundamental concepts of fluid properties are temperature, density, and composition.
4 0
3 years ago
Read 2 more answers
A girl is riding a bike with a velocity of 7 m/s. The bike undergoes an acceleration of 2 m/s2. What is the velocity of the bike
Dmitry_Shevchenko [17]

From the information provided, the velocity after 2 seconds is  11 m/s.

From the equations of motion;

v = u + at

Where;

v = final velocity

a = acceleration

t = time taken

The initial velocity of the bike was 7 m/s and its acceleration is  2 m/s2. This change occurred within a time of 2 seconds.

Hence;

v = 7 + 2(2)

v = 11 m/s

The velocity after 2 seconds is  11 m/s.

Learn more: brainly.com/question/12550364

4 0
3 years ago
Prove that acceleration due to gravity is independent of the mass of the object​
natka813 [3]

Answer:

Acceleration due to gravity is independent of mass. These two quantities are independent of each other. Light objects accelerate more slowly than heavy objects when force other then gravity are also at work. In this case the object is fallling but it is not considered as a free fall.

Explanation:

Acceleration due to gravity is independent of mass. These two quantities are independent of each other. Light objects accelerate more slowly than heavy objects when force other then gravity are also at work. In this case the object is fallling but it is not considered as a free fall.

5 0
3 years ago
Other questions:
  • The frequency of electromagnetic energy traveling through a medium can change if any of the following change EXCEPT: Select one:
    6·1 answer
  • When the current in a toroidal solenoid is changing at a rate of 0.0240 A/s , the magnitude of the induced emf is 12.4 mV . When
    12·1 answer
  • 4. A 15 V battery is connected to three capacitors in series. The capacitors have the following
    5·1 answer
  • According to newton's first law, what is required to make an object slow down?
    9·2 answers
  • What is FALSE about E coli and the lac operon? A. The lac Y and lac Z genes are turned off when lactose is present.B. The lac Y
    9·1 answer
  • When energy is changed from one form to another, some of the energy is lost to the surroundings as waste thermal energy. The mor
    8·2 answers
  • Which statement accurately describes what happens when water turns to ice in terms of energy? A.The water absorbs which causes c
    12·2 answers
  • A rectangle has a length of (2.5 ± 0.2) m and a width of (1.5 ± 0.2) m. Calculate the area and the perimeter of the rectangle, a
    5·1 answer
  • An olympic swimming pool is approximately 88,263 ft3. how many cubic meters (m3) is this? assume there are 3.28 ft in 1 meter.
    10·1 answer
  • If one oscillation has 5.8 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!