A ball is dropped from a height of 10m. At the same time, another ball is thrown
vertically upwards at an initial speed of 10m/sec. How high above the ground will the two balls
collide?

Answers

Answer 1

5.1 m

Explanation:

Let's set the ground as our reference point. Let's also call the dropped ball to be ball #1 and its height above the ground at any time t is given by

[tex]y_1 = 10 - \frac{1}{2}gt^2[/tex] (1)

where 10 represents its initial height or displacement of 10 m above the ground. At the same time, the displacement of the second ball with respect to the ground [tex]y_2,[/tex] is given by

[tex]y_2 = v_0t - \frac{1}{2}gt^2[/tex] (2)

At the instant the two balls collide, they will have the same displacement, therefore

[tex]y_1 = y_2 \Rightarrow 10 - \frac{1}{2}gt^2 = v_0t - \frac{1}{2}gt^2[/tex]

or

[tex]v_0t = 10\:\text{m}[/tex]

Solving for t, we get

[tex]t = \dfrac{10\:\text{m}}{v_0} = \dfrac{10\:\text{m}}{10\:\text{m/s}} = 1\:\text{s}[/tex]

We can use either Eqn(1) or Eqn(2) to hind the height where they collide. Let's use Eqn(1):

[tex]y_1 = 10\:\text{m} - \frac{1}{2}(9.8\:\text{m/s}^2)(1\:\text{s})^2[/tex]

[tex]\:\:\:\:\:\:\:= 5.1\:\text{m}[/tex]


Related Questions

Define cyber law and its types.​

Answers

Answer:

Cyber Law is a generic term referring to all the legal and regulatory aspects of the internet. Everything concerned with or related to or emanating from any legal aspects or concerning any activities of the citizens in the cyberspace comes within the ambit of cyber laws.

Types :-CopyrightPatentsTrademarks or Service MarksTrade SecretsDomain DisputesContractsPrivacyEmploymentDefamation

Explanation:

HOPE IT HELPS YOU!!

A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.

What is the acceleration of the SRB and main engine during the first 2.0 minutes of flight?

A. 52 m/s2
B. 13 m/s2
C. 9.8 m/s2
D. 11 m/s2

Answers

A rocket ship is accelerated by the SRB and the main engines for 2.0 minutes and the main engines for 8.5 minutes after the launch. The acceleration of the ship during the first 2.0 minutes is 11 m/s² (D).

A rocket ship has several engines and thrusters. We can divide its initial movement into 2 parts:

From t = 0 min to t = 2.0 min, the SRB and the main engines act together and the speed goes from 0 m/s (rest) to 1341 m/s.From t = 2.0 min to t = 8.5 min, the main engines alone accelerate the ship form 1341 m/s to 7600 m/s.

We want to know the acceleration in the first part (first 2.0 minutes). We need to consider that:

The speed increases from 0 m/s to 1341 m/s.The time elpased is 2.0 min.1 min = 60 s.

The acceleration of the ship during the first 2.0 minutes is:

[tex]a = \frac{\Delta v }{t} ) \frac{(1341m/s-0m/s)}{2.0min} \times \frac{1min}{60s} = 11 m/s^{2}[/tex]

A rocket ship is accelerated by the SRB and the main engines for 2.0 minutes and the main engines for 8.5 minutes after the launch. The acceleration of the ship during the first 2.0 minutes is 11 m/s² (D).

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A driver entering the outskirts of a city takes her foot off the accelerator so that the car slows down from 90 km/h to 50 km/h in 10.0s. Find the car’s average acceleration

Answers

Answer:

Explanation:

a = (vf - vi) / t

a = (50 - 90) / 10.0

a = -4 km/h/s(1000 m/km / 3600 s/h)

a = - 1.11 m/s²

Market researchers were interested in the relationship between the number of pieces in a brick-building set and the
cost of the set. Information was collected from a survey and was used to obtain the regression equation ý =
0.08x + 1.20, where x represents the number of pieces in a set and ŷ is the predicted price in dollars) of a set.
What is the predicted price of a set that has 500 pieces?
$40
$41.20
$600
$6,235

Answers

Plug in 500 for x and solve. 500(0.08) = 40

Then do 40 + 1.2 = 41.20

Answer B

1
2) Mighty Mouse can lift seven mammoths with a total mass of 525 kg. Using the acceleration of
gravity, find the total WEIGHT that Mighty Mouse is lifting. (answer: 5250 N)

Answers

Answer:

5250N

Explanation:

Weight= Mass × acceleration due to gravity

= 525kg × 10m/s^2

= 5250N

A 15 g bullet is fired at 630 m/s into a 4.9 kg block that sits at the edge of a 75-cm-high table. The bullet embeds itself in the block and carries it off the table.

How far from the point directly below the table's edge does the block land?

Answers

The horizontal distance traveled below the table's edge is 29.4 cm.

The given parameters;

mass of the bullet, = 15 g = 0.015 kgspeed of the bullet, = 630 m/smass of the block, = 4.9 kg

The final velocity of the bullet-block system is calculated as follows;

[tex]m_1 u_1 + m_2u_1 = v(m_1 + m_2)\\\\0.015(630) + 4.9(0) = v(0.015 + 4.9)\\\\9.45 = 4.915 v\\\\v = \frac{9.45}{4.915} \\\\v = 1.923 \ m/s[/tex]

The time for the bullet-block system to reach the ground from the table is calculated as follows;

[tex]h = v_0t + \frac{1}{2} gt^2\\\\h = 0 + \frac{1}{2} gt^2\\\\h = \frac{1}{2} gt^2\\\\2h = gt^2\\\\t^2 = \frac{2h}{g} \\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2\times 0.75}{9.8} }\\\\t = 0.153 \ s[/tex]

The horizontal distance traveled below the table's edge is calculated as follows;

[tex]X = vt\\\\X = 1.923 \times 0.153\\\\X = 0.294 \ m\\\\X = 29.4 \ cm[/tex]

Thus, the horizontal distance traveled below the table's edge is 29.4 cm.

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How can you use the Pythagorean theorem to add two vectors that are not perpendicular?

Answers

For each vector, the angle of the vector to the horizontal must be determined. Using this angle, the vectors can be split into their horizontal and vertical components using the trigonometric functions sine and cosine. The horizontal components for the vectors are solved separately from the vertical.

A water balloon is thrown toward a target at 18 m/s. If the water balloon has a mass of 0.4 kg, what is its
momentum?

A) 18.4 kg · m/s

B) 7.2 kg • m

C) 7.2 kg • m/s

D) 45 kg - m/s

Answers

The momentum of the water balloon is equal to: C) 7.2 kgm/s

Given the following data:

Velocity of water balloon = 18 m/sMass of water balloon = 0.4 kg

To determine the momentum of the water balloon:

In Physics, momentum refers to the multiplication of the mass of an object and its velocity. Thus, momentum is a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex]Momentum = mass \times velocity[/tex]

Substituting the given parameters into the formula, we have;

[tex]Momentum = 0.4 \times 18[/tex]

Momentum = 7.2 kgm/s

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Vesta is a minor planet (asteroid) that takes 3.63 years to orbit the Sun.
Calculate the average sun -Vesta distance

Answers

Using Kepler's third law, the average sun -Vesta distance is 2.36 AU.

According to Kepler's laws, the square of the period of revolution of planets are proportional to the cube of their average distances from the sun. Hence, we can write; [tex]T^{2} =r^{3}[/tex]

Where;

T = period of the planet

r = average distance of the planet

When;

T =  3.63 years

r = [tex]\sqrt[3]{T^2}[/tex]

r = [tex]\sqrt[3]{(3.63)^2}[/tex]

r = 2.36 AU

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For a horizontally projectile object if the initial velocity doubled, the Vertical displacement (angle y) will be :

Answers

Answer:

Unchanged

Explanation:

horizontal projection always has initial vertical velocity equal to zero.

gravity works pretty much the same at any point on earth and will accelerate any falling object at the same rate traveling the same vertical distance in the same time. Neglecting air resistance of course.

By the way, Δy is read "delta y" not "angle y" which would be "∠ y"

delta represents a change in something, in this case the y coordinate.

ou are pulling a 35 kg object with 18.4 N force which is oriented at 10 degree with ground. What is acceleration?

Answers

Answer:

Acceleration= 0.52 m/s²

An object moves 45m due East and then 15m due West, the total distance is

Answers

Answer:30m east

Explanation: 45m-15m=30m, which cancels out the one to the west. All that is left is 30m east.

Is this a test/quiz btw?

50 Points Help Asap !!

Briefly describe V-T graph For every point please if its increasing if its flat or if its positive or negative help fast

Answers

#A

It's flat as no change can be seen on the graph of A part

#B

Its increasing as the line goes up in B part.

#C.

It's flat as no change can be seen on the graph of C part

#D

It's decreasing as the graph goes down in D part.

#E

It's decreasing as the graph goes down in E part

#F

It's decreasing as the graph goes down in F part.

#G

It's increasing as the graph goes up in G part.
G partt hope helpsss

In a car crash, how are force, mass, acceleration, and velocity related?

Answers

Answer:

the answer is simple but click on the brainiest and thank me.

Explanation:

F=force, m=mass, a=acceleration, v=velocity

v=displcement/time

a= v/t

F= m×a

F= m× (v/t)

Before the collision, the toy train is travelling at 0.5 m/s. The train and the stationary
truck both have a mass of 75 g.
Calculate the momentum of the toy train before the collision?

Answers

Answer:

Explanation:

p = mv = 0.075(0.5) = 0.0375 kg•m/s

what is the approximate distance from the surface of the earth center 2900km 700km 50000km 6400km

Answers

Answer:

6400km is the closest

Explanation:

Why are electromagnetic waves used to transmit signals?

Answers

Because everybody who is trying to receive signals is using an electromagnetic wave receiver. If you used anything else to transmit your signals, the person looking for your signals would never know when they show up.

need some help plsss!

Answers

Answer:

1and4attract and1and 2repel

Colette launches an air rocket in the upward, positive direction. It launches with an initial velocity of 25.5 m/s. It accelerates in the downward, negative direction at a rate of 9.81 m/s2. After 3.5 seconds, what is the magnitude of the rocket's displacement?

Answers

Answer:

Give me some hint please

Which scientist is credited with having the greatest contribution to early microscopy and was the first to observe and describe single-celled organisms?

Answers

Answer:

Antonie van Leeuwenhoek

Explanation:

Why does air pressure decrease with increasing altitude? (Select all that apply.)
Colder air is less dense.
The weight of the air below is smaller.
Less air above pushes down.
Hot air rises.
The weight of the air above is smaller.
There is more air below to push up more strongly

Answers

The air pressure decrease with increasing altitude as less air above pushes down and the weight of the air above is smaller.

When the temperature cools, molecules often slow down and they do not move and bump into each other.

When altitude increases, the amount of gas molecules in the air also decrease.

The air becomes less dense than air nearer to sea level.

When the atmospheric pressure is high at lower altitudes, the density being higher.

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an electric field is 16 n/c northwest. that makes it a

a) magnitude
b)direction
c)vector
d)scalar

Answers

16 n/c to the northwest lies an electric field. hence it qualifies as a direction. Thus, the correct response is (b). It is assumed that the field's direction corresponds to the direction in which a positive test charge should experience force.

With a positive point charge, the electric field radiates outward, whereas with a point charge that's negative, it radiates in.

How big and which way is the electric field pointing?

A positive point charge is pointed directly away by the electric field, while a negative point charge is pointed directly inside the opposite direction. When you go away again from point charge, the power of the electrical field diminishes as 1 / r 2 1/r21, slash, r, square.

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#SPJ1

Answer:

c)vector

Explanation:

I got it right :)

ILS) Retake question
If you saw these 2 structures in a cell, you would definitely be looking at an animal
cell.

Answers

Answer:

lysosome,flagellum are the 2 structures in a cell

Pushing a chair is a law of______?

A. Law of friction
B. Law of interaction
C. Law of acceleration
D. Law of universal gravitation​


please help..

Answers

I believe your answer would be A. Due to the friction of pushing the chair while it’s on the floor

Answer:

A.Law of friction

Explanation:

because friction is the move chair floor

During a ball in the cup lab students notice that a ball rolling horizontally on the table pass through two photogates .30 meters apart in 0.133 seconds. They measure the height of the table to be 0.85 meters. Determine the distance away from the tables edge the students must place a cup to catch the ball to complete the activity?

Answers

Answer:

2 meters

Explanation:

Question 2 of 5 Which two statements are true for both compounds and mixtures? A. They can be separated into two or more elements. B. Their particles all have the same chemical formula. C. Their particles are held together by chemical bonds. D. They are made up of more than one type of atom.​

Answers

Answer:

D and A

I'm not sure about A lol

Which of Newton’s Laws of motion help explain the following scenario?
A paddle wheel boat pushes on the water and the water pushes back causing the boat to move

Answers

Answer:

Newton #3

Explanation:

For every action there is an equal and opposite reaction.

Option B.
Consider a setup in which two springs are attached to a mass in parallel.
Convince yourself that in this setup, the compression of each spring must be the same. Using
this fact, derive the effective spring constant for springs in parallel
This is asking, "ll1 replace the two springs by a single imaginary spring, what would its spring
constant be such that the force stays the same?" Your answer should only depend on k, and k

Answers

Answer:

it would be...

Explanation:

WILL DO BRAINLIEST A jar contains seven pink, 6 orange, and four blue marbles. If you pick one without looking, what is the probability that the marble you pick will be orange?
6/10
6/17
11/17
7/11

Answers

Answer:

Choice 2: 6/17

Explanation:

4+7=11. 6+11= 17. so it's 6/17

Which language style would be most appropriate for the given situation?
dinner at a neighbor's birthday party
o informal language
o formal language
o technical language

Pls help

Answers

Answer:

informal language

Explanation:

you do not need to be formal! you are not at a business conference. technical is not needed either since you are not discussing the intricacies of your job or some computer language.

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