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
lubasha [3.4K]
3 years ago
8

the acceleration of a rocket traveling upward is given by a=(6+.02s)m/s^s, where s is in meters. Determine the rocket's velocity

when s=2km and the time needed to reach this altitude. initially, v=0 and s=0 when t=0
Physics
1 answer:
NikAS [45]3 years ago
8 0

Answer:

a) velocity v = 322.5m/s

b) time t = 19.27s

Explanation:

Note that;

ads = vdv

where

a is acceleration

s is distance

v is velocity

Given;

a = 6 + 0.02s

so,

\int\limits^s_0 {a} \, ds  = \int\limits^v_0 {v} \, dv\\ \int\limits^s_0 {6+0.02s} \, ds  = \int\limits^v_0 {v} \, dv\\ 6s + \frac{0.02s^{2} }{2} = \frac{1}{2} v^{2} \\v = \sqrt{12s + 0.02s^{2} } .....................1 \\\\\\

Remember that

v = \frac{ds}{dt} \\\frac{ds}{v} = dt\\\int\limits^s_0 {\frac{ds}{\sqrt{12s+0.02s^{2} } } } \, ds = \int\limits^t_0 {} \, dt \\t=  (5\sqrt{2} ) ln  \frac{| [s + 300 + \sqrt{(s^{2}  + 600s)} ] |}{300} .......2

substituting s = 2km =2000m, into equation 1

v = 322.5m/s

substituting s = 2000m into equation 2

t = 19.27s

You might be interested in
At what Fahrenheit temperature are the Celcius and Fahrenheit temperatures numerically the same?
Alex777 [14]

Answer:

-40 degrees

Explanation:

5 0
3 years ago
The frequency of a wave is 560 Hz. What is it’s period
Crazy boy [7]
The answer would be, "1/560 seconds".
4 0
3 years ago
Three strings, attached to the sides of a rectangular frame, are tied together by a knot as shown in the figure. The magnitude o
Anna [14]

The magnitude of the tension in the string marked A is 52.5N

Generally, the equation for is mathematically given as

Let's take θ be an angle at A

So, tanθ = 3/8

Let's take α be an angle at B (Below X)

tanα = 5/4

Let's take β be an angle at C (Below x)

tanβ = 1/6

First we take the Horizontal Components

74.9cos(9.46°) = Acos(20.6°) + Bcos(51.3°)

By solving the equation, we get

A = 78.9 - 0.668B … (1)

Now, we take the vertical components

74.9sin(9.46°) + Asin(20.6°) = Bsin(51.3°)

By solving the equation, we get

40.07 = 1.015B

B = 39.5N

By substituting the value of B in equation (1)

A = 78.9 - 0.6668× 39.5

A = 52.5N

Hence, the magnitude of the tension in the string marked A is 52.5N

Learn more about Tension here brainly.com/question/2287912

#SPJ1

8 0
2 years ago
A ball hits a wall. What is true about the magnitude of the force experienced by the ball compared with the force experienced by
Ivahew [28]
<span>This is best understood with Newtons Third Law of Motion: for every action there is an equal and opposite reaction. That should allow you to see the answer.</span>
5 0
3 years ago
How much do a steel BB weight?
pychu [463]
Each BB 0.349 grams and 5.386 grains. 349 mg & 5.386 grains each steel BBs.
6 0
3 years ago
Other questions:
  • While moving in, a new homeowner is pushing a box across the floor at a constant velocity. The coefficient of kinetic friction b
    10·1 answer
  • a .1-kilogram ball rolls across the floor at a speed of 2 meters per second. Another .1 kilogram ball rests on a shelf 1 meter a
    8·1 answer
  • How is ozone formed?
    11·2 answers
  • Without the greenhouse effect operating in our atmosphere
    8·2 answers
  • What are the connective cells
    7·1 answer
  • Identify the three domains and explain each
    12·1 answer
  • Describe the motion of an object as it accelerates. IN YOUR OWN WORD!! ASAP
    13·1 answer
  • Which is the product of cellular respiration? A. ATTP B. light C. oxygen D.sugar
    8·1 answer
  • Does every light source emit only one type of light?
    14·1 answer
  • Examine the roller coaster track above. Assume there is negligible friction as the roller coaster moves from position A to posit
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!