Does the horizontal distance d travelled by the ball depend on the height of release? If it does depend on the height, what is the mathematical relationship between the variables

Answers

Answer 1

Answer:

Explanation:

Yes , the horizontal distance travelled by the ball will depend upon the height of release .

When a ball is thrown at some angle from a height , it has two components , the vertical component and horizontal component . The ball goes in horizontal direction due to its horizontal component . Its vertical component has no role to play .  But the horizontal range covered by the body thrown

depends upon the duration of time in which it remains in air . The longer it remains in air , the greater distance it can cover horizontally .

Horizontal distance covered = t x horizontal velocity

If V be the velocity of throw and Vx be its horizontal component

Horizontal distance covered = t x Vx

Now t depends upon the height . If height rises , time of fall will increase so horizontal distance covered will increase .

If h be the height from which the body is thrown , Vy be the vertical upward component of initial velocity

from the relation

s = ut + 1/2 at²

h = - Vy t  + 1/2 at²

As h increases , t will increase and therefore horizontal distance covered will increase. If the ball has only  horizontal velocity initially , Vy = 0

h = 1/2 gt²

[tex]t = \sqrt{\frac{2h}{g} }[/tex]

Horizontal distance covered  = t x Vx

= [tex]\sqrt{\frac{2h}{g} } \times V_x[/tex]

From this expression also

Horizontal distance covered is proportional to [tex]\sqrt{h}[/tex] .


Related Questions

A typical galaxy contains about 100 billion stars, and there are approximately 100 billion galaxies in the observable universe. About how many stars are in the observable universe

Answers

Answer = (100 billion stars/galaxy) x (100 billion galaxies/universe)

Answer = (100 billion x 100 billion) stars

Answer = 10,000 billion billion stars

Answer = 10,000,000,000,000,000,000,000 stars

Answer = 10²² stars/observable universe

The number of stars in the observable universe is; 10²² stars/observable universe.

How many stars are in the observable universe?

Since there are about 100 billion stars in our galaxy; we can rewrite that to be;

100 billion stars/galaxy

However, there are about 100 billion galaxies in the observable universe.

Since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

(100 billion stars/galaxy) x (100 billion galaxies/universe)

= (100 billion x 100 billion) stars

= 10,000 billion billion stars

= 10,000,000,000,000,000,000,000 stars

= 10²² stars/observable universe

Therefore, the number of stars in the observable universe is; 10²² stars/observable universe.

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A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice. She slows steadily, then continues on at 6.0 m/s. What is her acceleration on the rough ice?

Answers

Answer:

Acceleration, [tex]a=-2.8\ m/s^2[/tex]

Explanation:

It is given that,

The initial speed of a speed skater, u = 8 m/s

The final speed of a speed skater, v = 6 m/s

Width of patch of rough ice, s = 5 m

We need to find the acceleration on the rough ice. Acceleration can be calculated using third equation of motion as :

[tex]v^2-u^2=2as\\\\a=\dfrac{v^2-u^2}{2s}\\\\a=\dfrac{(6)^2-(8)^2}{2\times 5}\\\\a=-2.8\ m/s^2[/tex]

So, the acceleration on the rough ice is [tex]2.8\ m/s^2[/tex]. Negative sign shows that its speed is decreased.

scientific theories cannot change once they've been written down true or false ​

Answers

Answer:

Yes

Explanation:

Answer: false

a theory is just an idea, so it can be changed, while a scientific fact is true and wont be changed

What are the benefits of vitamin K

Answers

Answer:Vitamin K is an important factor in bone health and wound healing. Vitamin K is a fat-soluble vitamin that makes proteins for healthy bones and normal blood clotting. According to the Harvard School of Public Health, vitamin K helps produce four of the 13 proteins needed for blood clotting.

Explanation:

When a student stands on a rotating table,the frictional force exerted on the student by the table is?

Answers

Answer:

Less

Explanation:

because static friction is more than rolling friction

which process must occur for clouds to form?

Answers

clouds form when water vapor in the air condenses into visible water droplets or ice crystals

The phenomenon is called as condensation in which the water droplets combine together to form clouds. So, the correct option is D.

What is Condensation?

Condensation is defined as the change of state of matter from the gas phase to the liquid phase, and is the reverse of evaporation which often refers to the water cycle.

Condensation is described as the process where water vapor becomes liquid which is the opposite of evaporation, where liquid water becomes vapor. Condensation happens in one of two ways which are as follows: either the air cools to its dew point or it becomes so saturated with water vapor that it cannot hold any more water.

Thus, the phenomenon is called as condensation in which the water droplets combine together to form clouds. So, the correct option is D.

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Your question is incomplete, most probably the complete question is :

Which process must occur for clouds to form?

(1) conduction (2)erosion (3) precipitation (4) condensation

Conduction occurs when thermal energy is transferred by the movement of
a. Waves
b. molecules
c. liquids
d. fluids​

Answers

Answer: Molecules

Explanation:

Answer:

B. molecules

Explanation:

got 100% on the edge quiz

If an athlete completes a cycle around a circular track, his displacement eauals to ZERO.
O True
O False

Answers

The statement is TRUE.

"Displacement" means the distance and direction from the start-point to the end-point, NO MATTER how you got there.

If you go out cycling and go back home when you're done, your displacement is zero.  it doesn't matter how far you cycled, or what streets or woods you cycled through, or whether your route was a circle, a square, an ellipse, a triangle, or a jumble, or whether you cycled around and around the same path 27 times.  You ended right where you started.  The distance from your start-point to your end-point is zero, so your displacement is zero.

a bee travels 7.6 m in 38 seconds. what is it’s velocity?

Answers

Answer:

Velocity=0.2m/s

Explanation:

Velocity=displacement / time

Velocity=7.6m/38s

Velocity=0.2m/s

If a dog moves 3 meters due East and then 4 meters due North, what will be the dispalcement of the dog?

Answers

Answer:

5 m

Explanation:

Displacement is the diatnce moves in a specified direction. It is the shortest distance covered  by the dog. The displacement of the dog can be gotten by using the pythagoras theorem as shown;

According to the theorem, a²+b² = d² where d is the displacement

Substituting the given value into the fofrmula;

3²+4² = d²

9+16 = d²

d² = 25

square root both sides

√d² = √25

d = √25

d = 5 metres

Hence the displacement of the dog is 5metres

 

3. Daniel stands on a bridge over a river. He drops a coin and notes that the coin takes 3 s to reach the river below.

He must be standing

above the river.

A 10 m

B. 15 m

C. 30 m

D. 45 m

Answers

Answer:

45 m

Explanation:

Initial velocity of the coin = 0 m/s  (since he dropped it from his hands)

time spent in falling - 3 sec

distance s = ?

using

s = ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

where

s is the distance the stone fell

u is the initial velocity

t is the time spent falling

g is acceleration due to gravity = 10 m/s^2 (positive downwards)

substituting values, we have

s = (0 x 3) +  [tex]\frac{1}{2}[/tex](10 x [tex]3^{2}[/tex])

s = 45 m

how water is constructed and how the matter is built-up?​

Answers

Answer:

How is water constructed ?A molecule of pure water is made of two hydrogen atoms bonded to an oxygen atom

How is matter built-up?The basic building blocks that make up matter are called atoms. (hope i could help :)

Explanation:

what is the momentum in Kg m/s of a 10 kg truck travelling at A) 5 m/s B) 20 cm/s C) 36 km/h?​

Answers

Answer:

A)   50 kg m/s

B)  2 kg m/s

C)  100 kg m/s

Explanation:

Recall that momentum is a physical quantity defined by the product of the object's mass times its velocity. Therefore, in our case the truck's momentum (p) is:

A)  p = m * v = 10 kg * 5 m/s = 50 kg m/s

B) p = m * v = 10 kg * 0.20 m/s = 2 kg m/s (notice that the velocity in cm/s was converted into m/s before multiplying)

C) the conversion from km/h to m/s is a little more involved, so we taclke it first:

since 1 km = 1000 m  and 1 hour = 3600 seconds, we convert 36 km/h by replacing each unit by its m and s expression as shown below:

[tex]36 \frac{km}{h} =36\,\frac{1000\,m}{3600\,\,s}=10\,\frac{m}{s}[/tex]

Then, the momentum is:  p = m * v = 10 kg * 10 m/s = 100 kg m/s

Hurry!! Physical science

Answers

Answer:

time stirred and amount of water

all of the answers are true

Answer:

All are True

Explanation:

Energy is both coming and leaving and so on.

If 2 different processes driven by heat transfer start at state 1 and end at state 2 BUT follow different paths, is the amount of energy transferred by heat the same for each path? Yes or no?

Answers

The answer yes I’m not sure

A car starting from rest accelerates at a rate of 8 0 m/s/s. What is its final speed at the end of 40 seconda?
i have no idea what is if you know the answer, can you please answer it?

Answers

Answer:

you have to organize the data. a= acceleration vi=inicial velocity vf=final velocity  t=time.

a=80m/s

vi=0

vf=?

t=40 s

the formula you have to use is:

vf=vi+a*t  (final velocity= inicial velocity plus acceleration times time)

Explanation:

I was the best one at my class, hope it helped

Answer: 320 m/s

Explanation:  V initial = 0, V final= ?   Acceleration = 8m/s/s  t=40s

So at the end of V 40 sec=  v intial + acceleration x Δt  = 0 +8m/s² x 40s  = 320m/s

Please help with these physics problems 1. A soccer ball is dropped from the top of a building. It takes 5.8 seconds to fall to the ground. The height of the building is...? 2. The Falcon 9 launches to a height of 123 meters. What is its vertical initial velocity? 3. An apple falls from rest off a 10.m m tree. How long will it take before it hits the ground?

Answers

Answer:

1.) h = 164.8 m

2.) U = 49.1 m/s

3.) t = 1.43 seconds

Explanation:

1.) A soccer ball is dropped from the top of a building. It takes 5.8 seconds to fall to the ground. The height of the building is...? 

Since the soccer ball is dropped from the building, the initial velocity U will be equal to zero

Using second equation of motion

h = Ut + 1/2gt^2

Substitutes the time into the formula

h = 1/2 × 9.8 × 5.8^2

h = 164.8 m

2. The Falcon 9 launches to a height of 123 meters. What is its vertical initial velocity?

At maximum height final velocity = 0

Using the third law of motion

V^2 = U^2 - 2gH

0 = U^2 - 2 × 9.8 × 123

U^2 = 2410.8

U = 49.1 m/s

3. An apple falls from rest off a 10.m m tree. How long will it take before it hits the ground?

Since the apple fall from rest, the initial velocity U will be equal to zero

Using the second equation of motion,

h = Ut + 1/2gt^2

substitute all the parameters into the formula

10 = 1/2 × 9.8 × t^2

10 = 4.9t^2

t^2 = 10/4.9

t^2 = 2.04

t = 1.43 seconds

What’s 2.3 miles into kilometers

Answers

3.701 kilometers hope that helps

Answer:

3.70149

Explanation:

What happens to scientific laws if new, unexpected data is discovered? a They become scientific theories. b They are revised. c Nothing, the new data is ignored.

Answers

Answer:

revised

Explanation:

how does diffusion support the idea that matter is made up of particles​

Answers

Explanation:

because when diffusion occurs it is as a result of the particles moving around freely in open space

The fact that matter is composed of particles and that these particles are incredibly tiny and have space between them supports the theory that matter is composed of particles.

What is diffusion?

The mixing of materials is caused by the free movement of their particles is known as diffusion.

Even with a strong microscope, the substance is composed of microscopic particles that cannot be seen. The matter is anything that is both mass- and space-having. Small particles make up matter.

Because the particle's unrestricted movement in an open environment causes diffusion to happen.

Hence, diffusion supports the idea that matter is made up of particles.

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8. An airplane heading to Paris from Houston travels 5000 miles at 500 mph. How long will it take the airplane to get to Paris?

Answers

Answer:

10 hours to get to Paris

It would take 10 hours to get to paris

PLZ HELP TIMES TEST

When a person strikes and lights a match, potential energy in the match is transformed into which types of energy?

electrical and thermal
thermal and radiant
radiant and nuclear
nuclear and kinetic

Answers

Answer:

Thermal and Radiant

Explanation:

Thermal = Heat

Radiant = Light

Answer: B

Explanation:

What is your understanding of science?​

Answers

Answer:Science is a method of learning things about the world and environment we live in today . It gives us a better understanding of the natural world and how it works

Explanation:

A car accelerates from rest at a stop sign at a rate of 3.0 m/s^2 to a speed of 21.0 m/s, and then immediately begins to decelerate to a stop at the next stop sign at a rate of 4.0 m/s^2. How long did it take the car to travel from the first stop sign to the second stop sign? Show your work.

Answers

Answer:

t = 12.25 s

Explanation:

First we calculate the time taken by the car during accelerating motion, we use 1st equation of motion:

Vf = Vi + at₁

where,

Vf = Final Velocity = 21 m/s

Vi = Initial Velocity = 0 m/s

a = acceleration = 3 m/s²

t₁ = time taken during acceleration = ?

Therefore,

21 m/s = 0 m/s + (3 m/s²)t₁

t₁ = (21 m/s)/(3 m/s²)

t₁ = 7 s

Now, we use the same equation to find out the time taken during deceleration motion, with following data:

Vf = Final Velocity = 0 m/s

Vi = Initial Velocity = 21 m/s

a = deceleration = -4 m/s²

t₂ = time taken during deceleration = ?

Therefore,

0 m/s = 21 m/s + (-4 m/s²)t₂

t₂ = (-21 m/s)/(-4 m/s²)

t₂ = 5.25 s

Therefore, the total time taken by the car to travel from first stop sign to second stop sign is:

t = t₁ + t₂

t = 7 s + 5.25 s

t = 12.25 s

Answer:

12.25s

Explanation:

. Explain how surface waves can have characteristics of both longitudinal waves and transverse waves.

Please use 3 content related sentences. (ref: p.388-393)

Answers

Answer:

This whole concept depends on the depends on the direction of propagation of the surface wave or displacement of wave such that if its in direction of wave velocity its said to features of longitudinal wave and if its in direction at 90° to wave velocity its said to have transverse features

A light-rail train going from one station to the next on a straight section of track accelerates from rest at 1.1m/s^2 for 20s. It then proceeds at constant speed for 1100 m before slowing down at 2.2m/s^2 until it stops at the station. a. What is the distance between the stations? b. How much time does it take the train to go between the stations?

Answers

Answer:

A.) 1430 metres

B.) 80 seconds

Explanation:

Given that the train accelerates from rest at 1.1m/s^2 for 20s. The initial velocity U will be:

U = acceleration × time

U = 1.1 × 20 = 22 m/s

It then proceeds at constant speed for 1100 m

Then, time t will be

Time = distance/ velocity

Time = 1100/22

Time = 50 s

before slowing down at 2.2m/s^2 until it stops at the station.

Deceleration = velocity/time

2.2 = 22/t

t = 22/2.2

t = 10s

Using area under the graph, the distance between the two stations will be :

(1/2 × 22 × 20) + 1100 + (1/2 × 22 × 10)

220 + 1100 + 110

1430 m

The time taken between the two stations will be

20 + 50 + 10 = 80 seconds

The displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t2, where t is the time in seconds. What is the instantaneous velocity of the block when t = 2.0 s?

Answers

Answer:

0.19m/s

Explanation:

velocity is the change in displacement of a body with respect to time. Given the displacement d (m) of a block sliding along a straight line is given by the equation d = -0.65 t + 0.21 t², where t is the time in seconds, instantaneous velocity is expressed by differentiating the displacement with respect to time

Velocity = dd/dt

Velocity = -0.65 + 2(0.21)t²⁻¹

Velocity = -0.65 + 0.42t

The instantaneous velocity of the block when t = 2.0 s can be gotten by substituting t = 2.0s into the expression above:

Velocity = -0.65 + 0.42(2)

Velocity = -0.65 + 0.84

Velocity = 0.19

Hence the instantaneous velocity of the block when t = 2.0 s is 0.19m/s

6. Amy spits watermelon seeds at 1.8 m/s. How far will the seed travel in 1.2 s?

Answers

Answer:

2.16 meters

Explanation:

We can find distance using the following formula.

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

where [tex]s[/tex] is the speed and [tex]t[/tex] is the time.

The speed of the watermelon seed is 1.8 meters per second. The time is 1.2 seconds.

[tex]s= 1.8 m/s\\t=1.2 s[/tex]

Substitute the values into the formula.

[tex]d= 1.8 m/s * 1.2 s[/tex]

Multiply. When you multiply the 2 "s" that represent seconds will cancel out.

[tex]d= 1.8 m * 1.2[/tex]

[tex]d=2.16 m[/tex]

The watermelon seed with travel 2.16 meters in 1.2 seconds.

science numerical problem .Hari drag a load a of 60 kg along a distance of 12 m . what amount of work does he do? as 0 mention the type of work​

Answers

We don't know, and we don't have enough information to calculate it.

The weight of the 60kg load is (m g) = 588 Newtons.

IF Hari wanted to lift the load 12m straight up, he would have to do

(Force x distance) = (588 N) x (12 m) =  7,056 Joules of work.

But to drag it, he has to provide enough force to balance out the force of friction, and we don't know how much that is. It depends on the weight of the load, the shape of the load, the smoothness of the part of the load that sits on the ground, and the smoothness of the ground.  But the only thing we know is the weight of the load.

Henry was giving the school toy for his birthday he can use it to tell how fast someone is moving at the moment in time the toy miss calculate the persons

Answers

Answer:

The toy must calculate the person's speed/velocity

Explanation:

Since the school toy given to Henry can be used to tell how fast someone is moving, the toy must be able to calculate the person's speed/velocity using the average distance covered by the person divided by time taken to cover the distance; average distance ÷ time taken.

The toy must be able to determine the parameters (average distance and time taken) in order to be able to calculate the person's speed/velocity

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