Inserting the formulas you found for Xman(t) and Xbus(t) into the conditionXman(tcatch)=Xbus(tcatch) , you obtain the following-b+ct(catch) = 1/2 at^2( catch) or 1/2 at^2 (catch) - ct (catch) +b = 0Intuitively, the man will not catch the bus unless he is running fast enough. In mathematical terms, there is a constraint on the man's speed (c) so that the equation above gives a solution for t catch that is a real positive number.Find Cmin the minimum value of c for which the man will catch the busExpress the minimum value for the man's speed in terms of a and b .

Answers

Answer 1

Answer:

c > √(2ab)

Explanation:

In this exercise we are asked to find the condition for c in such a way that the results have been real

The given equation is

              ½ a t² - c t + b = 0

we can see that this is a quadratic equation whose solution is

             t = [c ±√(c² - 4 (½ a) b)]  / 2

for the results to be real, the square root must be real, so the radicand must be greater than zero

              c² -2a b > 0

              c > √(2ab)


Related Questions

Galileo Galilei was the first scientist to perform experiments in order to test his ideas. He was also the first astronomer to systematically observe the skies with a telescope. Galileo made four key observations that challenged the widely accepted philosophical beliefs on which the geocentric model was based, thus providing support for the heliocentric model. From the following list of observations, which are the key observations made by Galileo that challenged widespread philosophical beliefs about the solar system?
a) Jupiter has orbiting moons.
b) The Sun has sunspots and rotates on its axis.
c) The Moon has mountains, valleys, and craters.
d) Venus goes through a full set of phases.

Answers

Answer:

A) jupiter has orbiting moons

Explanation:

Btw I'm not sure abt it

Helppppppppppp I’ll give brainliest

Answers

Answer:

[tex] \boxed{(i).... 40cm}\\ \boxed{(ii).... 18cm}\\ \boxed{(iii).... 7.5N

}\\ [/tex]

Explanation:

[tex](i).... \\ the \: weight \: of \: the \: rod \: acts \: at \: the \: center \\ which \: is \: the \: half \: of \: 80cm = 40cm \\ (ii).... \\ let \: the \: distance \: be \: \boxed{d}...then \: 22 + d = 40 \\ d = 40 - 22 = 18cm \\ (iii).... \\let \: the \: weight \: of \: the \: metal \: rod \: be \: \boxed{ w} \\ taking \: the \: moment \: about \: the \: string \to \\ 15 \times (22 - 13) = 18w \\ 18w = (9)(15) \\ 2w = 15 \\ w = 7.5N[/tex]

♨Rage♨

Why is my life like this

Answers

Answer:

stop it get some help

:)

Explanation:

Answer:

My life be like oooh ahhh ooh ah

An applied force is a force that is applied to an object by a person or another object.

True or False

Answers

Answer:

true

Explanation:

Desde un rascacielos de 300 m de altura se lanza un objeto con una velocidad inicial de 50 m/s. Calcula el tiempo que transcurre hasta que llega al suelo y con qué velocidad llega en cada uno de los casos: a) Si se lanza verticalmente hacia arriba. b) Si se lanza verticalmente hacia abajo. c) Si se lanza horizontalmente (En este caso calcular también la distancia al edificio cuando llega al suelo) d) Si se lanza con un ángulo de 30o (Calcular también distancia al edificio)

Answers

Answer:

a) t = 14.2 s ,  v = -92 m / s , b) v = - 59.16 m / s ,   t = 0.916 s

c)  t = 7.75 s ,   x = 387.5 m

d) t = 10.64 s , x = 463.9 m ,   v = 92.2 m / s

Explanation:

This is an exercise in kinematics, suppose we take the upward direction as positive

a) is thrown up vertically.

Let's use the equation

          y = y₀ + v₀ t - ½ g t²

When reaching the ground y = 0, the initial height is y₀ = 300 m and the initial velocity is v₀ = + 50m / s, to simplify we use g = 10 m /s² as the value of the acceleration of gravity, for a more exact calculation we can must use 9.80 m /s²

         0 = y₀ + v₀t - ½ g t²

         ½ 10 t² - 50 t - 300 = 0

Let's solve the quadratic equation

         t² - 10 t - 60 = 0

         t = [10 ±√ (10² + 4 60)] / 2

         t = [10 ± 18.4] / 2

         t₁ = 14.2 s

         t₂ = -4.2 s

since time must be a positive quantity, the correctors result t = 14.2 s

the speed at this point is

         v = v₀ - g t

         v = 50 - 10 14.2

         v = -92 m / s

the sign indicates that the body is going down

b) in this case the initial velocity is vo = -50 m / s

let's calculate the velocity on the ground

    v² = v₀² - 2g (y-y₀)

    v² = 50 2 - 2 10 ((0- 300)

    v² = 3500

     

    v = + - 59.16 m / s

as the body is going down the correct sign is the negative

    v = - 59.16 m / s

the time it takes to arrive is

        v = v₀ - g t

        t = (v₀ - v) / g

        t = (-50 + 59.16) / 10

        t = 0.916 s

c) the velocity is horizontal (vox = 50 m / s), this implies that the vertical velocity is zero voy = 0

         y = y₀ + v₀ t - ½ g t²

         0 = 300 + 0 - ½ 10 t²

         t = √ (2 300/10)

         t = 7.75 s

the horizontal displacement at this time is

 

        x = v₀ₓ t

        x = 50 7.75

        x = 387.5 m

d) as it is thrown with an angle let's find each component of the velocities

      v₀ₓ = v₀ cos 30

      [tex]v_{oy}[/tex] = v₀ sin 30

       v₀ₓ = 50 cos 30 = 43.3 m / s

       v_{oy} = 50 sin 30 = 25 m / s

we look for the time of descent

     y = y₀ + v_{oy} t - ½ g t²

     0 = y₀ + v_{oy} t - ½ g t²

     0 = 300 + 25 t - ½ 10 t²

     t² - 5t - 60 = 0

   we solve the second degree equation

     t = [5 ±√ (5² + 4 60)] / 2

     t = [5 ± 16.28] / 2

     t₁ = 10.64 s

     t₂ = -5.64 s

since the time must be positive the result is t = 10.64 s

the range on the x axis is

       x = v₀ₓ t

       x = 43.6 10.64

       x = 463.9 m

the ground speed is

      v_{y} = [tex]v_{oy}[/tex] - g t

      v_{y} = 25 - 10 10.64

      v_{y} = -81.4 m / s

speed is

       v = √ (v₀ₓ² + v_{y}²)

       v = √ (43.3² + 81.4²)

       v = 92.2 m / s

A waiter applies 10 Newtons of net force to accelerate some meals 2 meters across the dining room. How much work is done on the food during the acceleration ?

Answers

Answer:

The answer is 20 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 10 × 2

We have the final answer as

20 J

Hope this helps you

Answer:

20 i think

Explanation:

At which temperature could air hold the most water vapor?
O A. 24°C (75°F)
B. 2°C (36°F)
C. 35°C (95°F)
O D. 13°C (55°F)
SUBMIT

Answers

Explanation:

35 maybe hope it's right

A swimmer jumps from a diving board into a pool. What would a graph of the swimmer's potential energy and total mechanical energy look like?(1 point)

Potential energy would increase, while total mechanical energy would remain constant.

Potential energy would remain constant, while total mechanical energy would increase.

Potential energy would decrease, while total mechanical energy would remain constant.

Potential energy would remain constant, while total mechanical energy would decrease.

Answers

Answer: Potential energy would decrease, while total mechanical energy would remain constant.

Explanation: I did the test and this was right.

The graph should represent the third option.

Potential energy & mechanical energy:

The graph for the potential energy of the swimmer and the mechanical energy should be that there is a reduction of the potential energy and the mechanical energy should remain the same.

learn more about energy here; https://brainly.com/question/18640356

Which could most likely describe the three surfaces?
Surface 1 is ice, Surface 2 is gravel, and Surface 3
is blacktop.
Surface 1 is gravel, Surface 2 is ice, and Surface 3
is blacktop.
Surface 1 is blacktop, Surface 2 is gravel, and
Surface 3 is ice.
Surface 1 is blacktop, Surface 2 is ice, and Surface
3 is gravel.

Answers

Answer:

Surface 1 is blacktop, Surface 2 is gravel, and Surface 3 is ice.

Explanation:

Hope this helps! :]

Answer:

C. Surface 1 is blacktop, Surface 2 is gravel, and

Surface 3 is ice.

Explanation:


The acceleration of a runner is -1.35 m/s/s down a hill. This means that the runner is?

Answers

Explanation:

Thats actually negative acceleration . It means a runner is running with the negative velocity of 1.35 m/s in every second .

Uniform Circular Motion: You need to design a wheel for testing purposes such that its rim will have an acceleration of 1.5 g when the rim is moving at 37 m/s while spinning. What should be the diameter of this wheel?

Answers

Answer:

We want to have an acceleration of:

A = 1.5*g = 1.5*9.8m/s^2  = 14.7 m/s^2

When the rim is moving at 37m/s while spinning.

Now, in circular motion we have two accelerations.

Tangential acceleration, that is the one related to the change of speed, as we have a speed of 37m/s, we can assume that is constant, then the tangential acceleration is zero.

Centripetal acceleration, is the one related to the change in direction, is perpendicular to the velocity vector and is the one that allows the circular motion.

I suppose that in this problem we want to have a  centripetal acceleration of 14.7m/s^2

The equation for the centripetal acceleration is:

Ac = v^2/r

Where v = velocity and r = radius.

then we must solve:

14.7m/s^2 = (37m/s)^2/r

r = (37m/s)^2/14.7m/s^2 = 93.13 m

How far did the football player run if it took them 30 s running at 25m/s?​

Answers

Answer:

[tex]\boxed {\boxed {\sf 750 \ meters}}[/tex]

Explanation:

Distance can be found by multiplying the speed by the time.

[tex]d=s*t[/tex]

The speed is 25 meters per second. The time is 30 seconds.

[tex]s=25 \ m/s \\t= 30 \ s[/tex]

Substitute the values into the formula.

[tex]d=25 \ m/s * 30 \ s[/tex]

Multiply. Note the seconds, or "s" will cancel each other out.

[tex]d= 25 \ m * 30[/tex]

[tex]d= 750 \ m[/tex]

The football player ran 750 meters.

can somone pls help asap???!!

Answers

I think its 1,2 sorry if wrong

The correct Answer: would be A B C E

Explanation:

Can i get brainlyest ?

Can you please help I’m sorry I promise this is the last time

Answers

Answer:

?

Explanation:

Two forces of magnitude 40N and 70N acts on an object calculate and write the resultant force acting on the object and the resultant a
direction of force when both the force act in opposite direction

A) 70N in the direction of lesser force

B) 110N,opposite direction

C) 30N,in the direction of the greater force

D) 30N in the direction of lesser force​

Answers

Explanation:

Required Answer

70N-40N=30N

30N in lesser force

1. A ball is thrown straight up.if the launch velocity is 15 m/s, at what velocity will the ball return to the thrower's hand?

2. A boat moves across a river going 18 m/s. At the same time there is a current flowing at a right angle to the boat at 6 m/s. What is the resulting velocity of the boat?​

Answers

Answer:

1) The velocity of the ball return to the thrower's hand is -15 meters per second.

2) The resulting velocity of the boat is [tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

Explanation:

1) Let suppose that ball experiments a free fall, that is an uniform accelerated motion, in which effects from gravity and Earth's rotation can be neglected. The velocity of the ball is represented by the following equations of motion:

Position

[tex]v_{o}\cdot t -\frac{1}{2}\cdot g\cdot t^{2} = 0[/tex]

[tex]t\cdot \left(v_{o}-\frac{1}{2}\cdot g\cdot t \right) = 0[/tex] (1)

Velocity

[tex]v = v_{o}-g\cdot t[/tex] (2)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v_{o}[/tex] - Initial velocity of the ball, measured in meters per second.

[tex]v[/tex] - Final velocity of the ball, measured in meters per second.

From (1), we get the time when the ball returns to the thrower's hand:

[tex]v_{o}-\frac{1}{2}\cdot g\cdot t = 0[/tex]

[tex]t = \frac{2\cdot v_{o}}{g}[/tex]

And then we apply this result in (2):

[tex]v = v_{o}-g\cdot \left(\frac{2\cdot v_{o}}{g} \right)[/tex]

[tex]v = -v_{o}[/tex] (3)

Then, the velocity of the ball return to the thrower's hand is -15 meters per second.

2) The resulting velocity of the boat ([tex]\vec v_{B}[/tex]) is represented by the vectorial sum of the velocity of the boat relative to the river ([tex]\vec v_{B/R}[/tex]) and the velocity of the river ([tex]\vec v_{R}[/tex]), both measured in meters per second, that is:

[tex]\vec v_{B} = \vec v_{R}+\vec {v}_{B/R}[/tex] (4)

If we know that [tex]\vec v_{R} = 6\,\hat{i}\,\left[\frac{m}{s} \right][/tex] and [tex]\vec v_{B/R} = 18\,\hat{j}\,\left[\frac{m}{s} \right][/tex], then the resulting velocity of the boat is:

[tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex]

The resulting velocity of the boat is [tex]\vec v_{B} = 6\,\hat{i}+18\,\hat{j}\,\left[\frac{m}{s} \right][/tex].

HELP MEH QUICK PLEASE
Which of the following is a source of direct current (D/C)? *


A) a radio wave

B) a wall socket

C) a generator

D) a battery

Answers

Answer:

D) a Battery

Explanation:

The best real-life example of direct current is a battery. Batteries have positive and negative terminals on a battery, the electrons in the wires will begin to flow to produce a current.

Katie and Mark sit next to one another in class. She has a mass of 40 kg and his mass is 65 kg.
If they are 0.5 meters apart, what is the gravitational force between Mark and Katie?

Answers

A :-) for this question , we should apply
F = GMm by d^2
( For making the calculation easy , first remove the decimals )
Given : G = 6.7 x 10^-11 Nm^2 / kg^2
= 67 x 10^-12 Nm^2 / Kg^2
M = 65 kg
m = 40 kg
d = 0.5 m
Solution -
F = GMm by d^2
F = 67 x 10^-12 x 65 x 40 by 0.5 x 0.5
F = 4355 x 40 x 10^-12 by 0.25
F = 174200 x 10^-12 by 0.25
F = 696800 x 10^-12

.:. The Gravitational force between mark and Katie is 696800 x 10^-12

What made "Lunar Orbit Rendezvous" such an attractive method to get to the Moon that it was selected by NASA in July, 1962

Answers

Answer:

I don't know the answer

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Qualitative and Quantitative Data Explain why it is important to use both qualitative data and quantitative data.

Answers

Answer: It is important to use both QUALITATIVE and QUANTITATIVE data because the limitations of one type of data are counteracted by the advantages of the other.

Explanation:

QUALITATIVE data defined as type of data that centers on the measurement of the features of the subject under study. This is obtained through careful observations. It is a non numerical type of data. Some examples includes: sex(male or female), name, and colours. The limitations of using only qualitative data for a research includes:

--> it can not be statistically represented

--> the results can not be verified

--> it is time consuming and

--. It requires alot of labor.

QUANTITATIVE data is defined as the type of data that centers on the measurement of the amount and quantity of the subject under study. It can be used to conduct a large study than qualitative data. Examples include the heights and weights of students. The limitations of quantitative research includes:

--> poor representation of target population

--> inability to control the environment and

--> lack of resources for data collection.

Therefore, It is important to use both QUALITATIVE and QUANTITATIVE data analysis because the limitations of one type of data are counteracted by the advantages of the other. I hope this helps, thanks!

Answer:

Using a combination of qualitative and quantitative data can improve an evaluation by ensuring that the limitations of one type of data are balanced by the strengths of another. This will ensure that understanding is improved by integrating different ways of knowing.

Explanation:

Analyze why force pairs do not cancel each other

Answers

Answer:

Action and reaction forces don't cancel each other out because they act on separate objects.

Explanation:

Action and reaction forces are always equal in magnitude, so it's not possible to exert more force on an object than it can exert back.

wassup people of this wor;d

Answers

People do be giving out free points tho

What does the triangle mean in physics?

Answers

Triangle is a mathematical symbol which the notes change in a quantity.

It is called Delta.

So Delta V=final velocity (-) minus initial velocity, delta T = time during the final velocity (-) during the initial velocity was recorded.

In physics, the triangle symbol (∆) typically represents a change or difference in a particular quantity.



A triangle is often used to denote the difference between two values of a variable. For example, if we have two values of time, t1 and t2, the change or difference in time can be represented as Δt = t2 - t1, where Δt is the triangle symbol indicating the change in time. Similarly, it can be used to represent differences in other physical quantities such as displacement (∆x), velocity (∆v), or temperature (∆T). The triangle symbol (∆) is a shorthand notation commonly used in physics to indicate changes or differences.

In terms of change in displacement, the triangle symbol (∆) represents the difference between two positions or locations. It indicates the change in the object's position from an initial point to a final point.

For example, if an object initially starts at position x1 and then moves to position x2, the change in displacement (∆x) can be calculated as ∆x = x2 - x1. Here, ∆x represents the difference or change in the object's displacement.

The magnitude of ∆x gives the overall distance traveled by the object, and its sign indicates the direction of the displacement. A positive ∆x signifies a displacement in the positive direction (e.g., to the right or upward), while a negative ∆x represents a displacement in the negative direction (e.g., to the left or downward).

Therefore, The triangle symbol (∆) is commonly used in physics equations to denote changes or differences in various quantities, including displacement, velocity, time, and more. It helps us analyze and quantify the differences between two values of a physical quantity.

To learn more about the triangle symbol click:

https://brainly.com/question/30637056

#SPJ6

A kangaroo hopped at 22 meters per second, saw a skunk and then
hopped at 52 meters per second. This is an example of which of the
following?
Acceleration
Velocity
Speed
motion graphs

Answers

Answer:

this is an example of acceleration

The ball in this activity could reach much greater speeds if not for the loss of energy in many different transformations. There is one major energy loss that is causing the ball to move more slowly, what is that energy? What force is acting upon the ball to create this loss of energy?

Please help quick!

Answers

Answer:

friction acts upon the ball when it is sliding down the slide and this action creates thermal energy

if the net force of 15 N is exerted on an encyclopedia to cause it to accelerate at a rate of 5 m/s2. what is the mass of the encyclopedia

Answers

Answer:

3 kg

Explanation:

F = ma

(15) = m(5)

m = 3 kg

A student is measuring the volumes of nectar produced by a flowering plant for an experiment. He measures nectar from 50 flowers using a graduated cylinder that measures to the nearest milliliter(mL). Which statement describes a change that could help improve the results of his experiment

Answers

The question is incomplete, the complete question is;

A student is measuring the volumes of nectar produced by a flowering plant for an experiment. He measures nectar from 50 flowers using a graduated cylinder that measures to the nearest millilitre (mL). Which statement describes a change that can help improve the results of his experiment?

A.) His measurements will be more precise if he takes measurements from an additional 100 flowers. B.) His measurements will be more accurate if he uses a graduated cylinder that measures to the nearest tenth of a mL. C.) His measurements will be more precise if he uses a graduated cylinder that measures to the nearest tenth of a mL. D.) His measurements will be more accurate if he takes measurements from an additional 100 flowers.

Answer:

His measurements will be more accurate if he uses a graduated cylinder that measures to the nearest tenth of a mL.

Explanation:

In the measurements of volume using most graduated cylinders, the cylinders are calibrated to the nearest tenth owing to the uncertainty in the measurement of volume.

Hence if a cylinder has measures to the nearest milliliter(mL), then he can improve his experiment by using a graduated cylinder that measures to the nearest tenth of a mL

What reaction/soccur between an acid and base.

Answers

Answer:

neutralization reaction

Explanation:

The reaction of an acid with a base is called a neutralization reaction.

es una reacción química que ocurre entre un ácido y una base produciendo sal y agua. ... Se mezcla un ácido fuerte con una base fuerte: Cuando esto sucede, la especie que quedará en disolución será la que esté en mayor cantidad respecto de la otra.

Explain the difference between mass and weight and
how they are measured.

Answers

Answer:

Mass is a measure of how much force it will take to change that path. Mass depends on how much matter – atoms and so on – there is in an object; more mass means more inertia, as there is more to get moving. ... Weight, on the other hand, is a measure of the amount of downwards force that gravity exerts on an object


17. What is the position of the image formed by the converging lens of focal length of 12cm in
which the image formed is 1.5 times the size of the object and inverted?
A. 30 cm
B. 56 cm
C. 15 cm
D. 20 cm​

Answers

Answer:

D is the correct answer

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Match each word with its definitionColumn BColumn A1.to get possession of somethinga. crucial2b. unifyimportant or significantthe power to give orders or make decisions3.C. authority4.to unite or bring together in one unitd. acquire Raul makes aluminum poles in the shape of rectangular prisms. If he removes the covers on bothends, he can lower his cost per pole. How much aluminum in square feet will Raul save per pole if hechooses to remove the covers at the ends of the poles? Use the given figures. I need some help with this A graphic designer worked 20 hours last week. Their hourly rate is 19.52 per hour. How much money did they make last week before taxes Which angle measurements can form triangle ABC? Select all that apply.mA = 40, mB = 75, mC = 65mA = 136, mB = 28, mC = 16mA = 57, mB = 58, mC = 63mA = 90, mB = 35, mC = 35mA = 60, mB = 60, mC = 60 Lydia is a senior in high school. She works 20 hours a week at a popular clothing store. She is trying to save as much money as possible for her college tuition. However, she has to buy a dress for prom, pay her car insurance, and get a birthday gift for her sister. This week she received a $400 paycheck. She wants to deposit the entire check in her savings account for her college tuition, but she stops herself. She decides instead to put $100 in the bank, spend $200 for her prom dress, pay $80 for her car insurance, and buy her little sister a $20 birthday gift. While shopping, she sees a doll worth $21, which she thinks her sister will absolutely love. As a result, she decided to buy the more expensive doll and spend less on her dress. Did Lydia make an all-or-nothing or a marginal decision while spending her money? Justify your response. Compare traditional majlis and modern majlis. Name one reason Hamilton supported a national bank. WHAT IS FRICTION BETWEEN????? NEED ANSWERS ASAP In an animal cell, cellular respiration happens in the Will give brainliest answer The following question references the novel The Call of the Wild by Jack London.Explain the "call of the wild". Which of the following expressions are equivalent to -1/2 ? PLEASE HELP ASAP!Every year since its beginning, our town's Old Home Days celebrationhas resulted in traffic accidents, Luckily, no one has been seriouslyinjured, but it is clear that we need better traffic control during thefestivities. Parents who pull over on Main Street to drop off kids causeother drivers to pull around them, creating a dangerous situation. Toavoid this, the police who stop traffic for pedestrians to cross MainStreet should be located at more than one spot. It is the responsibilityof the drivers to be careful, but we can make their job easier by makingsome simple changes.Which is a subjective summary of the passage?A. Reckless drivers and unconcerned police mean that there willeventually be a major disaster on Old Home Days.O B. Traffic control is an ongoing challenge at the annual Old HomeDays event.O C. The children's drop-off spot is one of the most problematic areaswithin the Old Home Days site.O D. Many feel that Old Home Days has to be stopped because oftraffic issues. What make reports interesting? Will Give Brainliest! WHAT Additional Congruence statement is needed to prove the triangles are congruent by SAS? Two sides of a triangle are 26 meters and 15 meters. What is the smallest the third side can be?A) 13 metersB) 15 metersC) 11 metersD) 9 meters Trace the origin and diffusion of muslim advancement in science, technology,or mathematics.Where did the idea or technology originate,and how did it spread Give Atleast 10 biological (nurtured) traits handed by your parents If (4,-3) is the midpoint of the line segment ST and the coordinates of S are (1,5), find thecoordinates of T.