A ball is gently dropped from a height of 30m. If its velocity increase uniform at the rate of 10m/s with what velocity will it strikes the ground ? After what time will it strike the ground?​

Answers

Answer 1

Explanation:

Need to FinD :

The velocity of the ball with strikes the ground.The time of the ball after which it strikes the ground.

[tex] \red{\frak{Given}} \begin{cases} & \sf {A\ ball\ is\ gently\ dropped\ from\ a\ height\ of\ {\pmb{\sf{30\ m}}}.} \\ & \sf {Its\ velocity\ increase\ at\ the\ rate\ of\ {\pmb{\sf{10\ m/s^2}}}.} \end{cases}[/tex]

We know that,

The ball is dropped from the height of 30 m as stated in the question. Therefore, it will have a initial velocity of 0 m/s. The distance travelled by the ball will be 30 metres as the distance travelled by the ball is equal to the height of the tower and that is 30 metres.

So, by using the third equation of motion, we will find out the final velocity of the ball.

[tex]\rule{200}{3}[/tex]

Therefore,

[tex] \sf \dashrightarrow {2as\ =\ v^2\ -\ u^2} \\ \\ \\ \sf \dashrightarrow {2 \times 10\ m/s^2 \times 30\ m\ =\ v^2\ -\ (0\ m/s)^2} \\ \\ \\ \sf \dashrightarrow {v^2\ =\ 600\ m^2/s^2} \\ \\ \\ \sf \dashrightarrow {v\ =\ \sqrt{600\ m^2s^{-2}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{Final\ velocity\ (v)\ =\ 24.49\ m/s \approx 24.5\ m/s}}}}_{\sf \blue{\tiny{Required\ velocity\ of\ ball}}}} [/tex]

∴ Hence, the required final velocity of the ball with which it strikes the ground is 24.5 m/s. Since, we know that the initial velocity of the ball is 0 m/s and the acceleration of the ball is 10 m/s². So, by using the first equation of motion, we will find out the time of the ball after which it stikes the ground.

[tex]\rule{200}{3}[/tex]

Therefore,

[tex] \sf \dashrightarrow {v\ =\ u\ +\ at} \\ \\ \\ \sf \dashrightarrow {t\ =\ \dfrac{v\ -\ u}{a}} \\ \\ \\ \sf \dashrightarrow {t\ =\ \dfrac{24.5\ m/s}{10\ m/s^2}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{Time\ (t)\ =\ 2.45\ s}}}}_{\sf \blue{\tiny{Required\ time}}}} [/tex]

∴ Hence, the required time of the ball after which it strikes the ground is 2.45 seconds.


Related Questions

You pull a wagon up a 100m hill at 2m/s and get in and roll down the other side of the same
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a. How much time does this entire trip take?

Answers

answer: 60 s or 1 minute

explanation: divide 100m by 2m/s = 50s then 100m by 10m/s = 10s. add the two totals up 50s + 10s and get 60s or 1 minute.

A motorcycle has a weight of 2000N. What is the mass of the motorcycle?

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Answer:

One kilogram is equal 9.81 Newton’s. To convert Newton’s to kg you have to divide Newton’s by kg. In this scenario it would have to be 2000/9.81 which is 203.87 kg.

Answer:

204

Explanation:

your great grandfather drives you to the movies at 21 miles per hour (in a 40 mile/hour zone). The movie begins in half an hour and you are 11 miles away. How long will it take you to get there, and will you be late?

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Answer:

It will take you 10 miles and no, you will not be late.

Explanation:

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Which vector has a y-component with a length of 1?

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Answer:

C

Explanation:

Answer:

(C). c

Explanation:

Scientists have concluded that Earth is at risk of future impacts with meteoroids. What are some criteria that engineers consider when they try to design technology to detect meteoroids and prevent collisions?
Science

Answers

Answer:
Explain step by step
Explanation:
Collisions with asteroids, comets and other stuff from space have been responsible for huge landmarks in our planet’s history: global shifts in climate, the creation of our moon, the reshuffling of our deepest geology, and the extinction of species.

Asteroid threats pop up in the news every now and then, but the buzz tends to fizzle away as the projectiles pass us by. Other times, as with the 2013 Chelyabinsk meteor in Russia, we don’t know they’re here until they’re here.
Perhaps most useful to remember is that when near-Earth objects (including asteroids, comets and meteoroids) enter the atmosphere, they’re called meteors; and if there’s anything left when they hit the ground, the resulting object is called a meteorite. We tend to focus on asteroids when talking about potential collisions, because they’re more likely to hit us than other stuff like comets, but still big enough to pose a threat.

By using optical and radio telescopes, the meteoroids are characterized and their shape, rotation and physical composition are determined.

Scientists have considered some criteria to detect the meteoroids and prevent collisions so that earth is protected from their impact. This includes finding the position and size of the meteoroids  and so the orbit of the earth could be changed and thus there is possibility for preventing collision.

By using optical and radio telescopes, the meteoroids are characterized and their shape, rotation and physical composition are determined. With the early recognition of the meteoroid movement and their position, the evacuation of people from the particular areas of possible impact can be done.

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Is feeling chilly and cold the same thing?

Answers

Answer:

The term “chills” refers to a feeling of being cold without an apparent cause. You get this feeling when your muscles repeatedly expand and contract and the vessels in your skin constrict. Chills can occur with a fever and cause shivering or shaking. Your body chills can be constant.

Explanation:

Hope this helps , also put in your own words !!

Can someone please help me!!!!

Throughout this activity, you’ve explored forces. What is one question that you’d like to investigate further about forces?

Answers

Answer:

Explanation:

Perhaps how do forces such as friction benefit us in our lives? If it wasn't for friction, more car accidents were likely to happen.

Or if it wasn't for the gravitational force, we wouldn't be comfortable as we are now. Earth keeps on orbiting around the sun due to gravitational force! This is something that is very essential to us!


What universal standard is the basis of the atomic mass unit?


the oxygen-16 atom

the carbon-12 atom

the chlorine-35 atom

the proton

Answers

The Carbon 12 atom (1/12 of it is 1 unit)

A circuit featuring multiple paths through which current can flow is best classified into which category?.

Answers

Answer:

A parallel circuit.

In a series circuit the current must flow thru the resistances in any particular branch.


1. If d = 25 m and t = 10 s, what is v?

Answers

Answer:

velocity = displacement /time

v= d/t

v= 25/ 10

v = 2.5 m/s

Explanation:

hope this help

What is the resultant of 5N force pointing north and 7N force pointing south? Do not forget include direction

Answers

Given forceF

1

=5N and F

2

=7N and θ=60

We know resultant force F=

5

2

+7

2

+2(5)(7)cos60

F=

25+49+35

F=

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write down the freezing and boiling point of alcohol​

Answers

Ethanol freezing point = -114.1°C (-173.38°F)
Ethanol boiling point = 78.37°C (173.066°F)

To have a change in acceleration there has to be a change in velocity.

Answers

To have ANY acceleration, there has to be a change in velocity.

Hello people ~
Resolving power of telescope can be increased by increasing
(a) the wavelength
(b) the diameter of objective
(c) the diameter of eyepiece
(d) the focal length of eyepiece​

Answers

Answer:

The diameter of the objective

Explanation:

Let's see how?

Resolving power be R

Diameter be dWavelength be lambda

[tex]\\ \rm\rightarrowtail R=\dfrac{d}{1.22\lambda}[/tex]

Hence

[tex]\\ \rm\rightarrowtail R\propto d[/tex]

So if d is more R is more

electric field
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Answers

Explanation:

Electric field = k q/r²

= 9×10⁹×30/(30×10^-2)²

= 3×10¹² N/C

Which phrase is the best definition of matter?
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B. A substance that can change in both volume and shape
o
C. Something that occupies a volume of space and also has mass
D. A substance that cannot be divided into smaller pieces

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Answer:

C is the correct answer

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Answers

In designing a thermos, it is important to minimize heat loses or gain by convection, conduction and radiation.

What is a thermos?

A thermos is a container which is designed such that it keeps hot substances hot and cold substances cold.

A thermos can be designed to keep liquids or solids.

In designing a thermos, it is important to minimize heat loses or gain by convection, conduction and radiation.

Insulating materials are used to prevent heat loss by conduction, and convection.

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You work for the police. An accident has happened. A farmer was taking his dairy cows for milking across a road. The crossing point was 100m from a blind bend. In normal conditions with an alert driver obeying the speed limit of 30m/s a car can safely stop before reaching the crossing point. Mr Hoyland was driving home, saw the cows around the bend and was unable to stop. He ran into one of the cows and killed it.

Answers

Answer:

Since the stopping distance is less than the thinking distance, Mr Hoyland is therefore responsible for the accident

Explanation:

. In normal road conditions and with an alert and sober driver the car

could have stopped before the crash.

2. The reaction time of an alert and sober driver is 0.6s.

3. The reaction time of a drunk driver could be 2s.

4. The initial speed of the car was 30m/s

5. From the time of applying the brakes the total braking distance in

normal conditions is 70m

6. From the time of applying the brakes the total braking distance in bad

conditions is 90m

7. From the time of applying the brakes in normal conditions the car would

reach 15m/s in 52m

You are a forensic expert working for the police. You must analyse the facts and produce a

report stating whether or not Mr Hoyland was responsible for the accident.

1. Calculate the thinking distance for a car travelling at 30m/s

2. Calculate the braking distance for a car travelling in normal conditions at 30m/s

3. Calculate the total stopping distance.

4. REMEMBER TO SHOW YOUR WORKING OUT

Challenge:

1. Is Mr Hoyland responsible for the accident?

2. Explain your answer giving CLEAR reasons for your answer and likely causes.

The Thinking distance = 100m

The breaking distance = 70m

A breaking distance = Stopping distance = 70m

Since the stopping distance is less than the thinking distance, Mr Hoyland is therefore responsible for the accident

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As your work is for police an accident has happened. The farmer was taking his cows for milking across the road. The responsibility of both the farmers and driver in accident is taken into consideration.

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As far as the accident could take place when is walking blind from behind. The pointing crossing was 100m from the farm.As stopping distance is less than the thinking distance, it is this possible to run into an accident. As the car could have stopped before the crash.

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WallyGPX accelerates from 0 m/s to 8 m/s in 3 seconds. What is his acceleration? Is this acceleration higher than that of a car which accelerates from 0 to 30 m/s in 8 seconds?

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My Phone is +2348181686682

Writing an Argument About Galetown’s Severe Storms Note: If you do not have access to Amplify Science at home, your teacher will provide you with an alternate way to complete this homework. In your final report to the citizens of Galetown, you will discuss the three claims and explain how all three factors can contribute to severe storms. Then, you will predict if the storms will always be severe. What caused Galetown to have more severe rainstorms this summer than in previous years?

Claim 1: The lake that was built near Galetown caused it to have more severe rainstorms.

Claim 2: Warmer weather caused Galetown to have more severe rainstorms.

Claim 3: Stronger winds caused Galetown to have more severe rainstorms.

Be sure to use some of the vocabulary words you have learned in both of your writing assignments: Word Bank air parcel, cloud,condensation, energy, evaporation, temperature, transfer, troposphere, water vapor, weather, wind   

Recall from the previous activity which claims you think are best supported by evidence. Use these claims to explain what is happening in Galetown. You can use the data table and the words listed in the word bank above to help you with your report that answers the question: What caused Galetown to have more severe rainstorms this summer than in previous years? Press NEXT to move on to the second part of the written report. Write a 3-5 paragraph argumented essay ​

Answers

The claim that can be deduced is that B. Warmer weather caused Galetown to have more severe rainstorms.

What is a claim?

It should be noted that a claim simply means the stance of an author in a literary work.

In this case, the claim is that warmer weather caused Galetown to have more severe rainstorms.

When the temperature of an air parcel begins higher, this will make it rise higher in the troposphere before the temperature of the air parcel and surrounding air are equal.

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If one object has a greater mass than another
A. More force is required to movie it.
B. Less force is required to move it
C. The acceleration is greater
D. It has less inertia

Answers

Answer:

more force to move it

Explanation:

i would say based on mass of course itll be more.

Answer:

A

Explanation:

The heavier something is, it needs more force to push it

1.2
A brick slides on a rough horizontal surface. Which ONE of the following
actions will increase the frictional force acting on the brick?
A. Decreasing the surface area of contact
B. Increasing the surface area of contact
C. Putting a second brick on it
D. Decreasing the mass of the brick
10-H
IS

Answers

Answer:

B

Explanation:

Because it has to increase

C. Putting a second brick on it

force of friction = mu (coefficient of friction) * normal force

normal force = mass * force of gravity

In order to increase the frictional force, mass must be added to increase the normal force and thus the amount of applied friction.

Brandy has built a computer model of a weather system. She has included information about bodies of water, the Sun, and the atmosphere. Brandy decides to decrease the amount of atmospheric water vapor in her model. How will this likely affect the precipitation in her model?
A.
There will be less precipitation.
B.
There will be more precipitation.
C.
It will rain constantly.
D.
The precipitation will not change.

Answers

Answer:

there will be less precipitation because there is less water vapour

Explanation:

How can you make a chemical change to paper

Answers

baking a cake is a great ex

-- burn it   (it combines with Oxygen and makes new substances)

-- chew it   (it combines with your saliva and makes new substances)

-- swallow it   (your stomach juices dissolve it and make new substances)

I think that's as far as I should go with it.

Which planet moves the fastest and which planet moves slowest?

Answers

fastest is mercury and slowest is Neptune

Explanation:

this answer is right

Answer:

fastest > Mercury

slowest > Venus

help me ASAP!!

Do you think the number of asteroid samples a pod is carrying could make a difference? Might that explain why the same strength thruster force caused this pod to have a different change in velocity? Explain your ideas, even if you are unsure.


Please help!

Answers

Answer:

im not sure but from few stuffs i read online i will try and answer

Explanation:

The pod may be heavier or lighter than normal, depending on the number of

asteroid samples.

• Based on everyday experience, heavier objects are more difficult to move as

compared to lighter objects, which are easier to move

This pod moved differently because it was more massive. The kids in other missions were less massive, so the thursters stopped the pod. The thrusters were supposed to do stop the pod, but since it was more massive it only slowed. The force exerted by the thrusters wasn't great enough to stop the pod.

Why does Mila’s phone start playing music again when she plugged her phone into the battery pack ?

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Answer:

cause it got charged

Explanation:

A bullet of mass 20g is horizontally fired with a velocity of 150m/s from a pistol of mass 2 kg. What is the
recoil velocity of the pistol?

Answers

Answer:

m1 = 20g (= 0.02 kg)

Mass of pistol, m2 = 2 kg

Initial velocity of the bullet (u1) and pistol (u2) = 0

Final velocity of the bullet, v1 = +150m s-1

Let v be the recoil velocity of the pistol.

Total momentum of the pistol and bullet after it is fired is

= (0.02 kg x 150 m s-1) + (2 kg x v m s-1)

= (3 + 2v) kg m s-1

Total momentum after the fire = Total momentum before the fire

3 + 2v = 0

→v = -1.5 m/s  

A machine puts out 20 watts of power for every 100 watts put into it what’s the efficiency of the machine?

Answers

The answer is 4 dived by 3
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