A hot air balloon is traveling vertically upward at a constant speed of 7.0 m/s.
When it is 21 m above the ground, a package is released from the balloon. For
how long is it in the air?

Answers

Answer 1

Answer:

The time spent in air by the package is 1.5 s

Explanation:

Given;

speed of the balloon, v = 7.0 m/s

distance traveled by the balloon, d = 21 m

The time spent by the object in the air is give by;

d = vt + ¹/₂gt²

21 = 7t + ¹/₂(9.8)(t²)

21 = 7t + 4.9t²

4.9t² + 7t -21 = 0

solve this quadratic expression, and the value of t will be

t = 1.5 s

Therefore, the time spent in air by the package is 1.5 s


Related Questions

what is the momentum of an animal with a mass of 72kg who is moving with a velocity of 2.2 m/s

Answers

Answer:

The answer is

158.4 kgm/s

Explanation:

The momentum of an object when given it's mass and velocity can be found by using the formula

momentum = velocity × mass

From the question

velocity = 2.2 m/s

mass = 72 kg

The momentum is

momentum = 2.2 × 72

We have the final answer as

158.4 kgm/s

Hope this helps you

Suppose you take a trip that covers 240 km and takes 3 hours to make. Your average speed is?

80 km/hr
30 km/hr
60 km/hr
240 km/hr
540 km/hr

Answers

Answer:

80km/h hope this helps

Answer:80 km/h

Explanation:

Speed =distance/time

A farmer is attempting to take a chicken across a river in a motorboat while a fox waits on shore with a bag of grain. If the river has a current with a velocity of 2.0 m/s and the boat maintains a speed relative to the water of 4.5 m/s, in which direction (angle) should the farmer point the boat so that the boat follows a straight path directly across the river?

Answers

Answer:

The farmer should go approximately 26.39° relative to the direction of and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river

Explanation:

The given parameters are;

The river current velocity = 2.0 m/s

The boat speed relative to the water = 4.5 m/s

Therefore, for the boat to have a resultant velocity that will follow a straight path directly across the river, we have;

The water current velocity, 2 m/s, the relative speed of the boat, 4.5 m/s, and the resultant velocity, v, form a right triangle, with the water current being the base, and the boat's relative speed being the hypotenuse side, while the height is the resultant velocity

Therefore, we have;

The direction of the boat relative to the direction of current the river = θ

The relative speed of the boat × sin(θ°) = The river current velocity

∴ sin(θ°) = The river current velocity/(The relative speed of the boat)

Which gives;

sin(θ°) = 2 m/s/(4.5 m/s) = 2/4.5 = 4/9

θ = sin⁻¹ = sin⁻¹(4/9) ≈ 26.39°

Therefore, the farmer should go approximately 26.39° relative to the direction of  and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river.

an object accelerated at 6.00m/s^2 starting at a velocity of 15.2m/s for 12.4 seconds. what is the objects final velocity?

Answers

The objects final velocity is 89.6m/s

I will literally Venmo u a dollar If I can solve this lol haahha

Answers

Answer: Answer is D

what are examples of velocity and speed

Answers

Explanation:

A train moves at a high velocity. Velocity is the rate of motion, speed or action. An example of velocity is a car driving at 75 miles per hour.

A 0.5 kg yellow bouncy ball rolls to the right at a speed of 8 m/s while a 0.25 kg blue bouncy ball rolls
to the left towards it with a speed of 4 m/s. After the collision, the blue bouncy ball rolls to the right
with a speed of 12 m/s. How fast is the yellow ball rolling and in what direction?

Answers

Explanation:

Let yellow ball be m1 = 0.5kg with u1 = 8 m/s and blue ball be m2 = 0.25 kg with u2 = - 4 m /s respectively.

After collision, blue ball travels 12 m/s.

Using conservation of Linear Momentum :

m1u1 + m2u2 = m1v1 + m2v2

0.5* 8 + 0.25 * - 4 = 0.5 * v1 + 0.25 * 12

v1 = 0 m/sec i.e. Yellow ball comes to rest.

Two cars - Car A and Car B - drive in the same direction down a street. Car B is traveling at 30 m/s. Car A is traveling 20 m/s. Imagine that you're sitting inside Car A and Car B passes you. What is the velocity of Car B relative to you? Don't forget UNITS.

Answers

Answer:derp

Explanation:

Need help! Photo says all! Will mark brainliest :)

Answers

Answer:

C-D

Explanation:

As you can see from the graph, the distance from A to B was from 0 m to 6 m in a duration of 3 seconds.

Divide 6 meters by 3 seconds to find the speed:

6 ÷ 3 = 2 m/s

B-C is not moving due to a straight line as said in the graph, so speed is

0 m/s.

There is also C-D since the car traveled from a distance of 9 meters

(6 -(-3) = 9) in 3 seconds too. (NOTE: The graph line going down does not mean it is slowing down, but rather going to a certain distance like going backwards)

Divide 9 meters by 3 seconds to get the speed:

9 ÷ 3 = 3 m/s

Between A-B, B-C, and C-D, C-D has the fastest speed recorded with 3 m/s.

A-D does not count here as the line has no connection between point A and point D.

Cheers!

what is independent venerable

Answers

Explanation:

About Venerable

Venerable is a privately held company with business operations based in West Chester, Pennsylvania and Des Moines, Iowa. Venerable owns and manages the legacy variable annuity business acquired from Voya Financial, Inc. Created by an investor group led by affiliates of Apollo Global Management, LLC, Crestview Partners, and Reverence Capital Partners, Venerable is an emerging business with well-established, strategic investors, experienced in successfully building and growing insurance businesses with patient, long-term capital.

Explanation:

a variable (often denoted by x ) whose variation does not depend on that of another.

How long would it take Jesse with an acceleration of -2.50 m/s^2 to bring his bicycle with an initial velocity of 13.5 m/s to a complete stop?
a.6.1 s
b.3.7 s
c.12.1 s
D.5.4 s

Answers

Answer:

use first equation of motion v=u+at..v is 0..since we have to take him to rest and u is 13.5

Explanation:

u = 13.5 m/s

a = - 2.5 m/s^2

v = u + at

0 = 13.5 - 2.5 * t

t (time to reach a complete halt) = 5.4 sec

A seesaw pivots as shown in below. What is the net torque about the pivot point?
With explanation please
I GIVE 25 POINTS

Answers

Answer:

2.3 Nm clockwise

Explanation:

Take counterclockwise to be positive and clockwise to be negative.

∑τ = (3 N) (2.5 m) − (7 N) (1.4 m)

∑τ = 7.5 Nm − 9.8 Nm

∑τ = -2.3 Nm

The net torque is 2.3 Nm clockwise.

Describe how an adult can teach a child to become a racist or bigot using positive reinforcement and negative punishment. Make sure you define the terms and apply the term to a real world example.

Answers

Answer:

by raising them in an environment in wich it is common and giving false information about other races to install bad stereo types and distrust in the child who will grow up to not know any better do to the dumb ignorant parent raised the same way

Explanation:

?????? thats all i got im not a politician BLM

What is a core sample ????

Answers

Answer:

Core samples are small portions of a formation taken from an existing well and used for geologic analysis. The sample is analyzed to determine porosity, permeability, fluid content, geologic age, and probable productivity of oil from the site. ... Core samples reveal the physical and chemical nature of the rock.

To float in air, a blimp would be filled with helium (true or false)

Answers

Answer :

TRUE

Explanation :

Helium is lighter and is much less dense than most of the gases in our atmosphere hence the blimp, if filled with helium will float in air
Answer: it would be true




The fastest helicopter, the Westland Lynx, can travel 3.33 km in the forward direction in just 30.0 s. What is the average velocity of this helicopter? Express your answer in both m/s and km/hr.

Answers

Answer:

The value in m/s [tex]v_{a} = 111 \ m/s [/tex]

The value in km/h [tex]v_{a} = 400\ km/h [/tex]

Explanation:

Generally the average velocity of the helicopter is mathematically represented as

[tex]v_{a} = \frac{\Delta D}{ t}[/tex]

substituting [tex]3.33 km = 33.3*10^3\ for\  \Delta D[/tex] and  30.0 s for  t

We have

         [tex]v_{a} =  \frac{33.3 *10^{3}}{ 30}[/tex]

=>     [tex]v_{a} =  111 \  m/s [/tex]

Now converting to km/h

      [tex]v_{a} =  111  *  \frac{3600  *\frac{s}{h} }{1*10^{-3} *\frac{km}{m}} [/tex]

=>  [tex]v_{a} = 400\  km/h [/tex]

Will the pressure in glass of fruit juice be bigger or smaller than the pressure in water?

Answers

Answer:

smaller

Explanation:

Water have more evaporation

Help me please it due today at 11:59 pleasss

Answers

Answer:

see below

Explanation:

1. density = mass / volume

2. kg/mL,  g/cm³

3. volume = mass / density

4. mass = density x volume

5.  

d = m / v

d = 32.9 g / 45.78 mL

d = 0.72 g/mL

6.

vol = m / d

vol = 0.62 g / 120g/cm³

vol = 0.00517 cm³

7.

m = v * d

m = 2.07 g/mL * 60.9 mL

m = 126.063 g

A fleeing student covered a distance of 210 meters in 35 seconds. what is the student's speed in meters/second? what is the student's speed in meters/minute?

Answers

Explanation:

Given that,

A student covered a distance of 210 meters in 35 seconds.

We need to find the student's speed in meters/second and also in meters/minute.

Speed, v = distance (d)/time (t)

So,

[tex]v=\dfrac{210\ m}{35\ s}\\\\=6\ m/s[/tex]

We know that, 1 minute = 60 seconds

[tex]6\dfrac{m}{s}=6\times \dfrac{m}{(\dfrac{1}{60})\ \text{minutes}}\\\\=360\ \text{meters/minutes}[/tex]

Hence, the student's speed is 6 m/s or 360 meters/minute.

A blue circle labeled proton and A overlaps a pink circle labeled neutron and C. The overlap is labeled B.
The Venn diagram compares protons with neutrons. Which shared property belongs in the region marked "B"?

Is negatively charged
Has mass of 1 amu
Orbits the nucleus
Is positively charged

Answers

Answer:

has mass of one amu

Explanation:

i got it right

Answer:

The answer is B.) Has mass of 1 amu

Explanation:

Neutrons have no charge so its not A or D and electrons are the things that orbit the nucleus so it not c.

Which of the following is most likely to happen when energy is transferred to an object A) the object will stay exactly the same B)The object Will begin to move C)the force on the object will decrease D) the mass of the object will increase

Answers

Answer:

B. the object will begin to move

Explanation:

If energy is transferred the object will definitely change so it CANNOT be "A". If you add energy the object will have more force so it CANNOT be "C". The mass of an object can't increase just by giving an object energy so it CANNOT be "D"

When energy is transferred to an object, the object is most likely to move either it gains a kinetic energy or it undergo a thermal vibration if thermal energy is applied.

What is energy transfer?

Energy can be transferred from its high energetic area to less . All forms of energy can be transferred like this.For example, heat energy can be transferred through various modes such as conduction, convection, radiation etc.

When an object gain some energy its particles starts to vibrate and move apart. This makes the intermolecular force of attraction between molecules weaker than before and they tend to be more reactive.

The energy transferred to an object does not make any change in mass, or any of its innate properties or does not apply any force. Therefore, option B is correct.

Find more on energy transfer:

https://brainly.com/question/18649915

#SPJ2

why do we classify living organisms

Answers

Answer:

The science of classifying living things is called taxonomy. Scientists classify living things in order to organize and make sense of the incredible diversity of life. Modern scientists base their classifications mainly on molecular similarities. They group together organisms that have similar proteins and DNA.

Explanation:

The science of classifying living things is called taxonomy.

Describe voltage in terms of charge and electrons.

PLEASE HELP I WILL GIVE BRAINLIEST​

Answers

Answer:

Voltage is a measure of how much energy is delivered to charge. At its most basic, an electron (basic charge) is imparted 1.602×10^−19 joules when moved through an electric potential difference of one volt. An electron is then said to have an energy of 1 electronvolt. So, voltage is energy divided by charge.

PLEASE MARK AS BRAINLIEST

A motorboat heads due west at 15 m/s across a river that flows due south at 7.5 m/s. What is the magnitude and direction of the resultant velocity in m/s? Round off answer to 2 decimal places.​

Answers

Answer:

16.77 m/s, 26.57° south of west

Explanation:

The two velocities form a right triangle.  Use Pythagorean theorem to find the magnitude of the resultant velocity.

v² = (-15 m/s)² + (-7.5 m/s)²

v = 16.77 m/s

Use trig to find the angle.

tan θ = ((-7.5 m/s) / (-15 m/s))

θ = 26.57° south of west

Using the proper physics vocabulary tell me how do you get a constant speed

Answers

Answer:

Formula for constant-speed = Total distance / Total time taken

Explanation:

Which definition best explains the Big Bang theory?
A. all matter in the universe burst from a tiny point

B. several galaxies collided and exploded

C. all matter in the universe was created in its current location

D. light waves condensed in a single area and matter was created

Answers

Answer:

probably a

Explanation:

I think that's what it is

A
It’s called the Big Bang

How are science and technology the same

Answers

Answer:

Science is the study of the natural world by collecting data through a systematic process called the scientific method. And technology is where we apply science to create devices that can solve problems and do tasks. Technology is literally the application of science

Explanation:

True or false. People from only a few civilizations have contributed to Astronomy.

Answers

Answer:

False

Explanation:

y
4
3
2
1
+ +
-4 -3 -2 -1
-1
1
1
2.
1 2
-3+
-4-
What is the slope of the line?

Answers

Answer:

easy no cheater

Explanation:

Irene was investigating the behavior of gases at certain conditions. Which would most likely cause an increase in the rate of collisions between gas molecules in a container?

Answers

Answer:

Increase in temperature

Increase in pressure

Explanation:

For the rate of collisions to increase, It can happen in various ways

1. The gasses can be made to move faster: This can be done by increasing their temperature. An increase in the temperature of the gases directly relates to a corresponding increase in their kinetic energy. This means that the molecules of the gases can move with a greater velocity, which will increase collision rates.

2. The volume of the container can be reduced: Consider this; If the container is made smaller, the molecules of the gases will have less space to move about. This means that they will be bumping into the walls of the container more frequently. This reduction in volume leads to an increase in the pressure of the gas. This is exactly what happens in a piston-cylinder assembly

The increase in the rate of collisions between gas molecules in a container should result in Increase in temperature and Increase in pressure

Reasons for increasing the rate of collisions:

1. In the case when the gasses should be quick faster, due to this, the temperature should be increased. In this, the gases molecules should be moved have high velocity

2, Here the container volume should be decreased. Due to this, the volume should be decreased that results in the increment of the gas pressure.

Therefore, The increase in the rate of collisions between gas molecules in a container should result in Increase in temperature and Increase in pressure

Learn more about gases here: https://brainly.com/question/24862829

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