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
bezimeni [28]
2 years ago
9

. An object has a position given by ~r(t) = [3.0 m − (4.00 m/s)t]ˆı + [6.0 m − (8.00 m/s2 )t 2 ]ˆ , where all quantities are in

SI units. What is the magnitude of the acceleration of the object at time t = 5.00 s? (a) 8.94 m/s 2 (b) 0.00 m/s 2 (c) 16.0 m/s 2 (d) 8.00 m/s 2 (e) 4.00 m/s 2
Physics
1 answer:
kupik [55]2 years ago
4 0

Answer:

(c) 16 m/s²

Explanation:

The position is r(t) = [3.0 \text{ m} - (4.00 \text{ m/s})t]\hat{i} + [6.0 \text{m} - (8.00 \text{ m/s}^2 )t^2 ]\hat{j}.

The velocity is the first time-derivative of <em>r(t).</em>

<em />v(t) = \dfrac{d}{dt}r(t) = -4.00\,\hat{i} -16t\,\hat{j}<em />

The acceleration is the first time-derivative of the velocity.

a(t) = \dfrac{d}{dt} v(t) = -16\hat{j}

Since <em>a(t)</em> does not have the variable <em>t</em>, it is constant. Hence, at any time,

a = -16\hat{j}

Its magnitude is 16 m/s².

You might be interested in
How does the molecular structure of a water molecule affect its polarity?
MA_775_DIABLO [31]

Answer:

The polarity of water molecules means that molecules of water will stick to each other like when unlike charges attracts. This is called hydrogen bonding.

Polarity makes water a good solvent, gives it the ability to stick to itself (cohesion), stick to other substances (adhesion), and have surface tension (due to hydrogen bonding).

When the two hydrogen atoms bond with the oxygen, they attach to the top of the molecule. This molecular structure gives the water molecule polarity, or a lopsided electrical charge that attracts other atoms. The end of the molecule with the two hydrogen atoms is positively charged.

Explanation:

4 0
3 years ago
Read 2 more answers
How are electromagnetic waves that are produced by oscillating charges and sound waves that are produced by oscillating tuning f
Dovator [93]
They are both created by waves of different forms of energy... sound is the oscillation of other substances, called a medium, while the electromagnetic waves are oscillating through electromagnetic energy. 
8 0
3 years ago
You hear a sound in the distance. Suddenly the sound gets deeper, decreasing in pitch. Which can you assume about the sound wave
oksian1 [2.3K]

Answer:

A. The wavelengths of the new sound waves are longer

Explanation:

This is the Doppler effect which can be best illustraded  for the case of a siren of an ambulance approaching us having a greater frequency and getting lower in frequency and deeper as the ambulance passes  us.

Since the wavelength is inversely proportional to the frequency it follows the wavelengths are longer when the frequency decreases lowering its pitch and getting deeper.

8 0
3 years ago
Earning a(n) _________degree will result in you earning approximately 1 million more dollars in your lifetime.
enot [183]

Earning a <em>bachelor's </em><em>degree will result in you earning approximately 1 million more dollars in your lifetime. </em>

7 0
3 years ago
Which "sphere" does an astronomer most directly study?
Lisa [10]
I would choose B. exosphere. Astronomers study outer space, planets and ect.
5 0
3 years ago
Read 2 more answers
Other questions:
  • Plz answer my question below....
    8·1 answer
  • With its wheels locked, a van slides down a hill inclined at 40.0° to the horizonta l. Find the acceleration of this van A) if t
    8·1 answer
  • At the same instant that a 0.50-kg ball is dropped from 25m above Earth,? At the same instant that a 0.50-kg ball is dropped fro
    15·1 answer
  • Farmers during the dust bowl of the 1930s watched their soil be carried away by wind what process removed the soil from the plac
    13·2 answers
  • A man does 4,475 J of work in the process of pushing his 2.40 103 kg truck from rest to a speed of v, over a distance of 26.5 m.
    8·1 answer
  • When you put the iron cube in the olive oil and the brick cube in the water what loses heat more quickly and why? The oil or the
    11·1 answer
  • A wire of resistance R is cut into ten equal parts which are then connected in parallel. The equivalent resistance of the combin
    11·1 answer
  • HEY EVERYONE!!! WATCH THIS!!!
    5·2 answers
  • How many electrons are in an element with an atomic number of 20 and an atomic mass of 40? options: ANSWER FOR BRAINLIES
    8·2 answers
  • Explain how climbing a mountain is similar to hiking from the equator to one of the poles
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!