A man dropped a dime in a wishing well , he heard it 5 sec later ..Find distance traveled if moving at 10 m/s 2

Answers

Answer 1

Answer:

The distance traveled is 109.58 m

Explanation:

The Speed of sound in air = 344 m/s

Let the time in which the dime dropped by the man reach an impact in the well = t₁

Let the time in which the sound travel from the well to the man = t₂

Then

1/2× 10 × t₁² = 344 × t₂ which gives;

5 × t₁² = 344 × t₂.........................(1)

Also the total time before the man heard the dime = t₁ + t₂ = 5

Therefore;

 t₂ = 5 - t₁

Substituting the value of t₂ in equation (1), we have;

5 × t₁² = 344 × (5 - t₁)

5·t₁² + 344·t₁ - 1720 = 0

Using the quadratic formula, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Which gives;

[tex]t_1 = \dfrac{-344\pm \sqrt{344^{2}-4\times 5\times (-1720)}}{2\times 5}[/tex]

t₁ = 4.68 s or -73.48 s

Therefore, with the positive value for t₁ = 4.68 s, we have

The distance = 1/2× 10 × 4.68² = 109.58 m

The distance traveled = 109.58 m.


Related Questions

In a swimming meet, the swimmers swim a total of 8 laps of a 50-meter-long swimming pool. What is the distance traveled by a swimmer in this meet? What is swimmer's displacement?

Answers

Explanation:

It is given that, swimmers swim a total of 8 laps of a 50-meter-long swimming pool. We need to find the distance traveled by a swimmer in this meet.

Distance = total path covered during entire journey

In every lap he covers a distance of 50 m. It means in 8 laps it will cover 8×50 = 400 meters.

Displacement = shortest path covered

After 8 laps, the swimmer ultimately comes to the starting point. It means its displacement is equal to 0.

.2, A car starting from rest has an acceleration of
0.5m/s2, what will be its final velocity after 5
seconds? What distance will be covered by
the car at the end of 5 seconds?​

Answers

Answer: 2.5 m/s and 6.25 m

Explanation:

u = 0

a = 0.5 m/s²

t = 5 s

v = u + at

=  0 + 0.5 × 5

= 2.5 m/s

s = ut + 1/2 at²

= 1/2 × 2.5 × 5

= 6.25 m

843 L - 0.028 kL = ______________L?

Answers

Answer: 815 L

Explanation:

0.028 kL=28L (times 1000)

843 L-0.0028 kL=843L-28L=815 L

Hope this helps!! :)

Please let me know if you have any question or need any further explanation

What energy is directly dependent upon velocity and mass?
A mechanical energy
O B. total energy
C. potential energy
O D. kinetic energy

Answers

Answer:

Kinetic energy

Explanation:

You walk 20 feet. What is this distance in centimetres? 0.305 m 100 cm ----------- ----------- 1 ft 1 m

Answers

Answer:

609.6 cm is the answer

Convert 8.1 kilograms to grams

Answers

Answer:

8100 g

Explanation:

8.1 kg × 1000

= 8100 g

Answer:

8,100 Grams

Explanation:

To change Kilograms to Grams, you multiply the mass value by 1000.

So, 8.1kg x 1000 = 8,100g.

Hope this helps!

I'm taking physics and trying to figure out the 4 questions to this problem.

Answers

Answer:

Explanation:

At t = 1 velocity = 0

At t = 3 velocity = 3

slope of the line = 3-0 / 3-1 = 3/2

At t = 2

velocity = 3/2 x ( 2 - 1 )

= 1.5 m /s

velocity at t = 2 is 1.5 m /s

Position at t = 2 :

displacement at t = 2

area of graph upto  t = 2

= 1 / 2 x 1 x 1.5 = .75

position at t = 2 :

= initial position + displacement

= 10 + .75 = 10.75 m

position at 6 s :

displacement at t = 6

area of curve upto  t = 6

= 1 / 2 x 2 x 3 +  3 x 3 + 1/2 x 3 x ( 4.5 - 3 )

= 3 + 9 + 2.25

= 14.25 m

position at t = 6

= initial position + displacement

= 10 + 14.25 = 24.25 m

position at 9 s :

displacement at t = 9

area of curve upto  t = 9

= 1 / 2 x 2 x 3 +  4 x 3 + 1/2 x 4 x ( 5 - 3 )- 1/2 x 2 x 1.5

= 3 + 12 + 4 - 1.5

= 17.5  m

position at t = 9

= initial position + displacement

= 10 + 17.5 = 27.5  m

50 POINTS
A graph of velocity versus time for an object shows a straight line with positive slope. What does that indicate about the acceleration of the object?

- the acceleration is changing
- the acceleration is zero
- the acceleration is constant and positive

Answers

Answer:

The acceleration is constant and positive

Explanation:

The straight line indicates that the acceleration is constant, while the positive slope indicates that the line is positive.

Answer:

^^^

Explanation:

Which material will displace a volume of water? Which material will displace a volume of water less than its own volume? Which material will displace a volume of water equal to its own volume? Which material will displace a volume of water greater than its own volume?

Answers

Answer:

1. all of them

2. cork and wax

3. iron, lead, and aluminum

4. none of them

Explanation:

1.Which material will displace a volume of water?  all of them

When an object is introduced into a container with a volume of water, a volume of liquid equal to the volume of the object is displaced

2.Which material will displace a volume of water less than its own volume?

cork and wax

because  the density of the object is less than that of the displaced liquid

3.Which material will displace a volume of water equal to its own volume?

iron, lead, and aluminum

because  Arquimedes's principle: any body plunged inside a fluid in this case water experiences an ascending force called push, equivalent to the weight of the fluid removed by the body

4.Which material will displace a volume of water greater than its own volume?

None of them

Answer:

1. all of them

2. cork and wax

3. iron, lead, and aluminum

4. none of them

Explanation:

Effciency of a lever is never 100% or more. why?Give reason​

Answers

Answer:

Ideally, the work output of a lever should match the work input. However, because of resistance, the output power is nearly always be less than the input power. As a result, the efficiency would go below [tex]100\%[/tex].  

Explanation:

In an ideal lever, the size of the input and output are inversely proportional to the distances between these two forces and the fulcrum. Let [tex]D_\text{in}[/tex] and [tex]D_\text{out}[/tex] denote these two distances, and let [tex]F_\text{in}[/tex] and [tex]F_\text{out}[/tex] denote the input and the output forces. If the lever is indeed idea, then:

[tex]F_\text{in} \cdot D_\text{in} = F_\text{out} \cdot D_\text{out}[/tex].

Rearrange to obtain:

[tex]\displaystyle F_\text{in} = F_\text{out} \cdot \frac{D_\text{out}}{D_\text{in}}[/tex]

Class two levers are levers where the perpendicular distance between the fulcrum and the input is greater than that between the fulcrum and the output. For this ideal lever, that means [tex]D_\text{in} > D_\text{out}[/tex], such that [tex]F_\text{in} < F_\text{out}[/tex].

Despite [tex]F_\text{in} < F_\text{out}[/tex], the amount of work required will stay the same. Let [tex]s_\text{out}[/tex] denote the required linear displacement for the output force. At a distance of [tex]D_\text{out}[/tex] from the fulcrum, the angular displacement of the output force would be [tex]\displaystyle \frac{s_\text{out}}{D_\text{out}}[/tex]. Let [tex]s_\text{in}[/tex] denote the corresponding linear displacement required for the input force. Similarly, the angular displacement of the input force would be [tex]\displaystyle \frac{s_\text{in}}{D_\text{in}}[/tex]. Because both the input and the output are on the same lever, their angular displacement should be the same:

[tex]\displaystyle \frac{s_\text{in}}{D_\text{in}} =\frac{s_\text{out}}{D_\text{out}}[/tex].

Rearrange to obtain:

[tex]\displaystyle s_\text{in}=s_\text{out} \cdot \frac{D_\text{in}}{D_\text{out}}[/tex].

While increasing [tex]D_\text{in}[/tex] reduce the size of the input force [tex]F_\text{in}[/tex], doing so would also increase the linear distance of the input force [tex]s_\text{in}[/tex]. In other words, [tex]F_\text{in}[/tex] will have to move across a longer linear distance in order to move [tex]F_\text{out}[/tex] by the same [tex]s_\text{out}[/tex].

The amount of work required depends on both the size of the force and the distance traveled. Let [tex]W_\text{in}[/tex] and [tex]W_\text{out}[/tex] denote the input and output work. For this ideal lever:

[tex]\begin{aligned}W_\text{in} &= F_\text{in} \cdot s_\text{in} \\ &= \left(F_\text{out} \cdot \frac{D_\text{out}}{D_\text{in}}\right) \cdot \left(s_\text{out} \cdot \frac{D_\text{in}}{D_\text{out}}\right) \\ &= F_\text{out} \cdot s_\text{out} = W_\text{out}\end{aligned}[/tex].

In other words, the work input of the ideal lever is equal to the work output.

The efficiency of a machine can be measured as the percentage of work input that is converted to useful output. For this ideal lever, that ratio would be [tex]100\%[/tex]- not anything higher than that.

On the other hand, non-ideal levers take in more work than they give out. The reason is that because of resistance, [tex]F_\text{in}[/tex] would be larger than ideal:

[tex]\displaystyle F_\text{in} = F_\text{out} \cdot \frac{D_\text{out}}{D_\text{in}} + F(\text{resistance})[/tex].

As a result, in real (i.e., non-ideal) levers, the work input will exceed the useful work output. The efficiency will go below [tex]100\%[/tex],

Scientific models have two basic types. Please select the best answer from the choices provided T F

Answers

Answer:

Scientific models have two basic types. FALSE.

Hoped I helped

Imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk

Answers

Answer:

100N

Step-by-step explanation:

If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.

The net force will the sum total of both forces acting on the desk.

Net force F = F1+F2

Given F1 = +150N and F2 = -50N

Net force F = +150N+(-50N)

Net force F = +150N-50N

Net force F = +100N

This answer is not mine so credits to abidemiokin

sketch a velocity time graph for the motion of the body . from the graph explain each step, calculate the total distance covered by the body

Answers

Answer: please find the attached file for the solution.

Explanation:

In a velocity time graph for the motion of the body, the total distance covered by the body is area under the graph.

Please find the attached file for the solution.

work done as mass 1 moves to mass 2. the gravitational force between two point masses separated by a distance r is proportional to

Answers

Answer:

gravitational force

how will the pandemic change our life? ​

Answers

It will change the way we do normal things such as going to certain stores, have arrows showing what lane you can go down, not being able to leave the country for awhile, and social interaction
the way we do things we can’t
go out as much or hang with a lot of people

2 decaliters + 800 deciliters = __________ liters?

Answers

answer is 100 liters

Answer:

800 +2 is 802 is decilitre

o.802 is in l

If three forces are equal and thier resultant force is zero, then measure of its internal angle is _____

Answers

Answer:

45 degrees

Explanation:

somebody PLEASE help me on this DO NOT waste my answers PLEASE HELP ITS URGENT

This is integrated Physics and Chemistry

Answers

Answer:

#1: 8.92 x 10^6 = 8920000

#2: 3.05 x 10^-3 = 0.00305

Explanation:

A car is traveling South on I-85. It travels between two exits that are 5.40 km apart in 4.85 minutes. What is the average velocity of the car in m/s?

Answers

Answer: 18.56 m/sec

Explanation:

Average velocity =distance/time=5400/(4.85*60)=18.56 m/sec

this is a device used to change the flow of electricity through a circuit

Answers

Transformers or also called voltage transformers

Answer:

Transformers are devices used in electrical circuits to change the voltage of electricity flowing in the circuit. Transformers can be used either to increase the voltage or decrease the voltage.

a man can swim with a speed of 5m/s in calm water. if this man swims crosses a specific river his speed is 3m/s. if he takes the minimum time to cross the river find the speed of the flow of water in the river...
plz answer me with all the steps!
I'll give u points ..mark brainliest and follow u ​

Answers

Answer:

The speed of the flow of water in the river is 4 m/s.

Explanation:

Given that,

Speed of man = 5 m/s

If this man swims crosses a specific river his speed is 3 m/s.

If he takes the minimum time to cross the river

Let the speed of flow of water be [tex]v_{r}[/tex]

We need to calculate the speed of the flow of water in the river

Using formula for velocity

[tex]v_{rs}^2=v_{r}^2+v_{s}^2[/tex]

[tex]v_{r}^2=v_{rs}^2-v_{s}^2[/tex]

Where, [tex]v_{s}[/tex] = velocity of swimmer

[tex]v_{sr}[/tex] = relative velocity

[tex]v_{r}[/tex] = velocity of river

Put the value into the formula

[tex]v_{r}^2=5^2-3^2}[/tex]

[tex]v_{r}=\sqrt{5^2-3^2}[/tex]

[tex]v_{r}=4\ m/s[/tex]

Hence, The speed of the flow of water in the river is 4 m/s.

1150 g - 0.652 kg = ______________g?

Answers

answer is 498 grams

Answer:

The required answer is 498 gram

The digigram shows a vertical number line.

What is the position of point X?
х
016
-12
12
16
0

Answers

Answer:

16

Explanation:

The position of X is 16 because they gap between -4 and 0 is 4.

3) For the graph on the right, the graphical representation between speed and mass could best be described as: A. The speed of fall is directly proportional to the mass. B. The speed of the fall is proportional to the square root of the mass. C. The speed of fall is inversely proportional to the mass. D. The speed of the fall is proportional to the square of the mass. E. There is no relationship between the speed of fall and mass. speed of fall mass

Answers

Answer:

B

Explanation:

KE=0.5mv^2

The speed is inversely proportional to the square root of mass

Put a ball on the floor what forces are acting on it

Answers

Answer: Gravity

Explanation: Gravity is pulling down on the ball, making it stay on the floor

When 10 N force applied at 30 degrees to the end of a 20 cm handle of a wrench, it was just able to loosen the nut. What magnitude of the force would require to just loosen the nut, if the force apply perpendicularly at the end of the handle

Answers

Answer:

5N

Explanation:

To get the magnitude of the force would require to just loosen the nut, if the force apply perpendicularly at the end of the handle, we will have to resolve the force perpendicular to the wrench. Torque is the turning effect of a body or force about a point. It is similar to moments.

Torque = Force * radius

Note that the force must be perpendicular to the wrench. On resolving the force perpendicularly to the wrench, we will have to resolve the force to the vertical.

Fy = Fsinθ

Fy = 10sin30°

Fy = 10 * 0.5

Fy = 5N

Torque = Fy * r

Given Fy = 5N and r = 20cm = 0.2m

Torque = 5 * 0.2

Torque = 1Nm

Hence the magnitude of the force would require to just loosen the nut, if the force apply perpendicularly at the end of the handle is 5N

6. I ran 12.2 km in 1.4 hours. Then I ran another 19.3 km uphill in 2.2 hours. What was my average speed?​

Answers

Answer: 8.75 km/hr

Explanation:

Concept to know

Average speed: total distance/total time

-------------------------------------------------------

 total distance/total time

=(12.2+19.3)/(1.4+2.2) ⇔ add the numbers of two time running together

=31.5/3.6 ⇔ simplify

=8.75 km/hr

Hope this helps!! :)

Please let me know if you have any question

Which of the following is an example of a primary source?
A. Scientific journal
B. Dictionary
C. Encyclopedia
D. Newspaper

Answers

Answer:

scientific journal

in my guess

Answer:

scientific journalExplanation:

Science occupations can have a significant impact on the economic success of a business.
True
False

Answers

Answer:

true

Explanation:

i just took the test

Answer:

TRUE!!!!!

Explanation:

TRUE!!!!!

TRU!!!!!!

TR!!!!!!

T!!!!!!

Define investigation to show its scientific meaning.

Answers

Answer:

the action of investigating something or someone; formal or systematic examination or research.

Explanation:

This definition is provided by Oxford Languages

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