Explanation:
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Calculus 1 : How to find acceleration
Study concepts, example questions & explanations for Calculus 1
Example Questions
Calculus 1 Help » Spatial Calculus » Acceleration » How to find acceleration
Find Acceleration : Example Question #1
The position vector of an object moving in a plane is given by r(t)=3t4i + 6t2j. Find its acceleration when t=1.
Possible Answers:
3i + 2j
36i + 12j
3i + 6j
6i + 2j
36i - 12j
Correct answer: 36i + 12j
Explanation:
To find acceleration at time t, we have to differentiate the position vector twice.
Differentiating the first time gives the velocity:
v(t) = r'(t) = 12t3i + 12tj
Differentiating a second time gives the accelaration:
a(t) = r''(t) = 36t2i + 12j
Plug in t=1 to solve for the final answer:
a(1) = r''(1) = 36i + 12j
What kind of mixture is the gravel at the bottom of the fish tank?
Answer:
rock
Explanation:
NEWTONS SECOND LAW LAB REPORT
Answer:
Newton's second law states that the acceleration of an object is directly related to the net force and inversely related to its mass. Acceleration of an object depends on two things, force and mass.
Explanation:
here this may help.
Fill in the blank(s):
In multicellular animals, ____________________ are extracellular projections that usually serve to move materials inside the body
Answer:
Nuclear pores
Explanation:
What is the mass of 15.9 miles of sulfuric acid?
Answer:
1560.1g or 1.56kg
Explanation:
We are to find the mass of 15.9moles of sulfuric acid.
Sulfuric acid is given as H₂SO₄;
To solve this problem, we convert the mole to mass;
Mass of sulfuric = number of moles x molar mass
Molar mass of H₂SO₄ = 2(1.01) + 32.1 + 4(16) = 98.12g/mol
Mass of sulfuric acid = 15.9moles x 98.12g/moles = 1560.1g or 1.56kg
Answer:
1.56
Explanation:
How much heat is absorbed by a 450g gold block as energy from the sun causes its temperature to change from 27°C to 32°C? (Specific heat capacity of gold is 0.47 cal/g°C) SHOW YOUR WORK *
Answer:
Q = 1057.5 [cal]
Explanation:
In order to solve this problem, we must use the following equation of thermal energy.
[tex]Q=m*C_{p}*(T_{final}-T_{initial})[/tex]
where:
Q = heat energy [cal]
Cp = specific heat = 0.47 [cal/g*°C]
T_final = final temperature = 32 [°C]
T_initial = initial temperature = 27 [°C]
m = mass of the substance = 450 [g]
Now replacing:
[tex]Q=450*0.47*(32-27)\\Q=1057.5[cal][/tex]
5. A hiker accidentally drops an apple from a cliff. She observes that it hits the ground below after 2.4 s. If the apple accelerated at 10 m/s (gravity) while falling, how high was the
cliff?
cliff height -
וח
"Round your answer to the nearest thousandth if necessary,
Answer:
28.8m
Explanation:
Given parameters:
Time of fall = 2.4s
Acceleration due to gravity = 10m/s²
Unknown:
Height of cliff = ?
Solution:
To solve this problem, we use the expression:
H = ut + [tex]\frac{1}{2}[/tex]gt²
u is the initial velocity
t is the time taken
g is the acceleration
t is the time
H = 0x2.4 + [tex]\frac{1}{2}[/tex] x 10x2.4² = 28.8m
Four factors that affect the rate heat transfers through solids
Answer:
The amount of heat flow is . How does heat flow through solids? Conduction is the transfer of heat through solids. Factors that affect rate of heat flow include the conductivity of the material, temperature difference across the material, thickness of the material, and area of the material.
Explanation:
SUPER EASY POINTS!!!!!!!!!!
Where does gravity come from?
(two things)
How does gravity impact Space?
Why would you weigh less on the moon than you do here on Earth?
1.The gravity of Earth, denoted by g, is the net acceleration that is imparted to objects due to the combined effect of gravitation (from mass distribution within Earth) and the centrifugal force (from the Earth's rotation).
2.How does gravity work in space? Gravity is a very important force. Every object in space exerts a gravitational pull on every other, and so gravity influences the paths taken by everything traveling through space. It is the glue that holds together entire galaxies. It keeps planets in orbit.
3.Our weight on moon is less than it would be on Earth due to a difference of the strength of gravity on the moon. The moon's gravitation force is determined by the mass and the size of the moon. Since the moon has significantly less mass than the Earth, it will not pull objects toward itself at the strength that Earth will.
Answer:
from all its mass
Explanation:
write by doing arrangement
A toy plane has a mass of 2.5 kg and is 18 m above the ground. It is moving at 4.5 m/s. How much mechanical energy does
Answer:c
Explanation:
Answer:
c
Explanation:
Is the net force on an object moving with uniform velocity zero or not zero?
Answer:
Zero
Explanation:
The net force acting on an object moving with uniform velocity is zero. This is an accordance with the Newton's first law of motion.
Newton's first law of motion states that a body will continue in its state of rest or uniform motion unless it is acted upon by an external force.
Since this body is moving with uniform motion, it is not accelerating. When a body is acceleration, the net force on it is not zero.
But this one is moving with uniform motion. The net force on the body is balanced and zero.
Just like other scientists and philosophers of his time, Archimedes believed the secrets of the universe could be revealed by thinking alone. *
True!
False!
What is the net force acting on this box?
The net force acted on the box that shows in the attached image is to be considered as the 2N.
Calculation of the net force:Since the two forces are given i.e.. 3 N and 5N
So, here the net force be like
= 5N - 3N
= 2N
hence, The net force acted on the box that shows in the attached image is to be considered as the 2N.
Learn more about net force here: https://brainly.com/question/14246601?referrer=searchResults
COULD YOU PLEASE ANSWER ALL THESE QUESTIONS :/
In the unit, we learned about four fitness zones. What are the four fitness zones? After you have named the four fitness zones, choose one of the fitness zones to describe in two sentences.
Please define aerobic exercise and anaerobic exercise. What is the difference between them?
What does it mean to warm-up and to cool-down?
There are six important things to keep in mind on your fitness journey. Please list and define at least four of the things we should remember.
Where are two places where you would find your heartbeat? Please also describe how to find your own heart rate. (Hint: Is there a math equation we can use?)
Critical Thinking Questions
Please answer each of the following questions in complete sentences.
Sometimes we perform aerobic or anaerobic exercise in our daily lives without even knowing it, like walking to class or carrying a backpack. Can you think of one aerobic and one anaerobic activity that you do most days in your normal life?
Physical fitness has many benefits, which we learned about in the unit. Can you think of any disadvantages or negative consequences to working on your physical fitness? List and briefly explain two possible negative side effects that could happen when you're being physically active.
There are a ton of ways to stay active and physically fit in your life. This goal becomes even easier if you got a job involving personal fitness in some way. What are some jobs you can think of that involve physical fitness? Please list two different jobs. Which of these two careers interests you more and why?
Please decide whether each activity is better described as anaerobic or aerobic exercise. Simply write 'aerobic' or 'anaerobic' next to each activity.
Ice Skating
Heavy-weight Training
Sprinting
Swimming
Tennis
Dancing
Jump Roping
Imagine that you are designing an exercise plan for someone looking to lose weight quickly. They have a busy schedule and can dedicate one hour per day, five days per week to exercise. They also have a home gym with a treadmill, bicycle, weights, and yoga mat, and they do not like the outdoors. What type of exercise plan would you create for them? Write down a sample fitness plan for three days that you would create for them. Briefly explain why you chose the activities that you did.
Answer:
Aerobic Fitness, Muscular Fitness, Flexibility, and Stability and Balance.
Explanation:
The emission of light from a radioisotope occurs during ? decay.
Answer:
Gamma
Explanation:
The emission of light from a radioisotope occurs during Gamma decay.
What is radioisotope?The radioactive isotopes of an element are known as radioisotopes. Atoms with an unstable mix of neutrons and protons, or excess energy in their nucleus, are also known as neutron-proton atoms.What is Gamma decay?Gamma decay is a kind of radioactivity in which certain unstable atomic nuclei spontaneously discharge their surplus energy through an electromagnetic mechanism. Gamma rays (photons, or packets of electromagnetic energy, of extremely small wavelength) are released in the most frequent form of gamma decay, known as gamma emission.Hence , the correct answer is Gamma decay .
To know more about Gamma decay here
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ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!
Describe why a sound seems to increase in pitch when its source moves toward a listener.
An electrical device has a resistance of 60 ohms and requires a current
of 0.15 A to work properly. How many 1.5 V cells does the device require?
Answer:
6
Explanation:
Given that :
Resistance (R) = 60 ohms
Required current (I) = 0.15 ampere
Voltage (V) = current (I) * Resistance (R)
V = 0.15 * 60
V = 9v
Number of 1.5V cells required by the device :
9V / 1.5V
= 6
Hence, the device requires six 1.5V cells
Which color of visible light has a longer wavelength than orange light?
A. Green
B. Red
C. Blue
D. Violet
Answer: B. Red
Explanation: I got it right
The correct answer is B. The color of visible light that has a longer wavelength than orange light is red light.
The electromagnetic spectrum is an array of all the frequencies of electromagnetic radiation.
Each frequency band is known as a different type of radiation, and they are classified in order of increasing frequency and decreasing wavelength.
Electromagnetic waves with a longer wavelength have a lower frequency, whereas waves with a shorter wavelength have a higher frequency.
The wavelength of electromagnetic radiation varies from about 1 × 10−16 meter (gamma rays) to more than 100 kilometers (radio waves).
The colors of the visible light are classified in order of increasing frequency and decreasing wavelength as: violet, blue, green, yellow, orange, and red.
Red light has the longest wavelength of all the visible light.
The wavelength of red light ranges from approximately 620 to 750 nanometers (nm), whereas orange light has a wavelength ranging from approximately 590 to 620 nm.
As a result, red light has a longer wavelength than orange light.
Therefore, the answer is B. Red.
For more questions on wavelength
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Seema could easily hear her echo when she shouted in her schools multipurpose hall. Later she shouted in the same manner in her room at home but she was not able to hear any echo. Explain
Answer with Explanation:
Echo depends on "how sound waves are reflected back." A hard object, like the walls of the multipurpose hall, reflects sound waves well; thus, Seema could easily hear her echo. In addition to this, the walls of the hall are also smooth and this further allows the sound waves to bounce. On the other hand, soft objects like bed cushions in Seema's room absorbs sound. This prevents the sound waves from being reflected. In addition to this, the sound waves have hard time bouncing because there are many objects in Seema's room.
if a snail moves 6.5in/min, how many miles per hour does the snail travel?
Answer:
Unit Conversion
6.5in/min× 1ft/12in× 1 mile/5280ft= 0.001231 m/min0.001231 m/min× 60 min/1hr= 0.0738 miles/hrMaterials such as rubber, plastics, and glass do not carry electrical currents and
are known as
PLEASE HELP!!!! Compare and contrast electric potential energy and electric potential difference? Please use 2 content related sentences. (ref: p.577-587)
Answer:
Electric potential energy, Happens from conservative coulomb forces. It has a defined system.
electric potential difference Is (in the name) the difference between electric potential and the final and initial location.
Explanation:
A uniform beam XY is 100 cm long and weighs 4.0N.The beam rests on a pivot 60 cm from end X. A load of 8.0 N hangs from the beam 10 cm from end X. The beam is kept balanced by a force F acting on the beam 80 cm from end X. What is the magnitude of force F ? A 8.0N B 18N C 22N D 44N.Show full working.
Answer:
C. 22N
Explanation: Note that we are considering a uniform beam XY which implies that it will be evenly divided. That is the weight will be in between.
One of the laws of equilibrium states that the sum forces across the clockwise moment = sum of forces across the anticlockwise moment
Hence from the diagram we have
(8×50)+(4×10) = 20 × X
400+40 = 20X
440 = 20X
X = 440/20
X = 22N
Hence the answer is option C which is 22N
A penny is dropped off the top of the Stratosphere from rest and falls freely with the
acceleration due to gravity (9.81 m/s2). After 5 seconds, how far has it fallen (Ax)?
Answer:
S = 122.5m
Explanation:
Given the following data;
Acceleration due to gravity = 9.8m/s²
Time, t = 5 seconds
Since it's a free fall, initial velocity, u = 0
To find the displacement, we would use the second equation of motion given by the formula;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Where;
S represents the displacement or height measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.Substituting into the equation, we have;
[tex] S = 0*5 + \frac {1}{2}*(9.8)*5^{2}[/tex]
[tex] S = 0 + 4.9*25[/tex]
S = 122.5m.
The value of (997)1/3 according to binomial theorem is
Answer:
9.99
Explanation:
The value of (997)^1/3
(997)^1/3
997 = (1000 - 3)
(1000 - 3)^1/3
Expanding :
[1000(1 - 3/1000)]^1/3
1000^1/3 * (1 - 3/1000)^1/3
Cube root of 1000
10 * (1 - 3/1000 * 1/3)
10 * (1 - 1/1000)
10 * (1 - 0.001)
10(0.999)
= 9.99
Hence, the value of (997)^1/3 according to binomial theorem is 9.99
The value of (997)^(¹/₃) according to binomial theorem is;
9.99
The value of
(997)^(¹/₃)
⇒ (1000 - 3)^(¹/₃)
Factorizing out common terms gives;
⇒ (1000)^(¹/₃) * (1 - 3/1000)^(¹/₃)
Using the given approximations from binomial theorem, we have;
⇒ 10(1 + (¹/₃ × -³/₁₀₀₀) ....
⇒ 10(1 - 0.001)
⇒ 10 × 0.999
⇒ 9.99
Read more at; https://brainly.com/question/16533505
1. Which of the following demonstrates an airplane converting kinetic to potential energy?
A. It ascends to a higher altitude.
B. More passengers board the plane.
C. It moves downward to make a landing.
D. The wheels spin as it moves on the ground.
Answer: It is c
Explanation:
The pull of a magnet
Mark Me brainliest
Explanation:
The pull strength is the highest possible holding power of a magnet, measured in kilograms. It is the force required to prise a magnet away from a flat steel surface when the magnet and metal have full and direct surface-to-surface contact.
PLEASE ANYONE CAN HELP ME !E.x/A block of metal has a volume of 0.09 m3
Calculate the buoyant force when it's Completely
immersed in brine ? density = 1200 kg/m3
Answer:
B = 1058.4 N
Explanation:
Given that,
The volume of a metal block, V = 0.09 m³
The density of fluid, d = 1200 kg/m³
We need to find the buoyant force when it's Completely immersed in brine. The formula for the buoyant force is given by :
[tex]B=\rho gV[/tex]
g is acceleration due to gravity
[tex]B=1200\times 9.8\times 0.09\\\\B=1058.4\ N[/tex]
So, the required buoyant force is 1058.4 N.
what keeps both the cars pressed down on the road?
Answer:
Gravity
Explanation:
Let's talk skateboard velocity how much mean when you get my going down a 3 x 3" metal ramp. No posers are allowed to answer this question
Answer:
quarte embri Oslo
Explanation:
Answer:
i think it is 9
Explanation:
(WILL GIVE BRAINLIEST IF YOU SHOW WORK) The force of friction between an object and the surface upon which it is sliding is 14N and the coefficient of friction between them is 0.72. What is the weight of the object?
f = 0.72 n
where f = magnitude of the friction force and n = mag. of the normal force. So we have
n = (14 N) / 0.72 ≈ 19.4 N
By Newton's second law, the object's weight and the normal force cancel, so that
n - m g = 0
where m = mass of the object and g = 9.8 m/s². Then the weight of the object is
m g = n ≈ 19 N
