A ball was thrown from the ground at an angle 0 with a velocity v. The ball reached a maximum height of 8 m and a maximum range of 15 m. Calculate the value of 0. Let g=1 m/s²

Answers

Answer 1

Answer:

θ ≈ 65°

Explanation:

From the question given above, the following data were obtained:

Maximum height (H) = 8 m

Range (R) = 15 m

Initial velocity (u) = v

Angle θ =?

H = u²Sine²θ / 2g

8 = v²Sine²θ / 2g

Cross multiply

8 × 2g = v²Sine²θ

16g = v²Sine²θ

Divide both side by Sine²θ

v² = 16g / Sine²θ.... (1)

R = u²Sine2θ / g

15 = v²Sine2θ / g

Cross multiply

15 × g = v²Sine2θ

15g = v²Sine2θ

Divide both side by Sine2θ

v² = 15g / Sine 2θ... (2)

Summary:

v² = 16g / Sine²θ.... (1)

v² = 15g / Sine 2θ... (2)

Equate equation 1 and 2

16g / Sine²θ = 15g / Sine 2θ

16 / Sine²θ = 15 / Sine 2θ

Recall:

Sine²θ = SineθSineθ

Sine 2θ = 2SineθCosθ

16 / Sine²θ = 15 / Sine 2θ

16 / SineθSineθ = 15 / 2SineθCosθ

16 / Sineθ = 15 / 2Cosθ

Cross multiply

15 × Sineθ = 16 × 2Cosθ

15Sineθ = 32Cosθ

Divide both side by Cosθ

15Sineθ / Cosθ = 32

Divide both side by 15

Sineθ / Cosθ = 32/15

Recall:

Sineθ / Cosθ = Tanθ

Sineθ / Cosθ = 32/15

Tanθ = 32/15

Tanθ = 2.1333

Take the inverse of Tan

θ = Tan¯¹ 2.1333

θ ≈ 65°


Related Questions

A satellite orbits around a planet with a mass of 3.0x10^23kg . If the satellite is 3.0x10^8m from the planet's center, what is the velocity of the satellite as it orbits in a circle around the planet?

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Answer:

dyffuosuzfuufoxuusouuofdofusuddsudzufuxfusfdfdfudfuodruodoodoyudfoudoduofuodoufdfoyfyoffyoyofufyfo

What is the initial velocity of a projectile that is launched at a 25o angle and travles 70 km in 25 seconds?

Answers

Answer: The initial velocity of the projectile is 3.1 km/s        

Explanation:

There is a problem with the question because we do not know in which direction the projectile travels 70 km.

I will assume that the projectile travels 70 km horizontally, as is the usual case.

I will also assume that 25 seconds after the projectile is fired, it hits the ground.

Suppose that the initial velocity of the projectile is V0, and this velocity V0 can be thought as the hypotenuse of a triangle rectangle, then the x-component and the y-component of the velocity will be the catheti of this triangle rectangle, then we can write:

Vy = V0*sin(25°)

Vx = V0*cos(25°).

Now, the vertical problem does not affect the horizontal one, so we can see only the horizontal case.

Here we don't have any force, then there is no acceleration, then the velocity is constant and it is equal to:

v(t) = V0*cos(25°)

For the horizontal position we can integrate over time to get:

p(t) = V0*cos(25°)*t + p0

where p0 is the initial position, and we can assume that it is equal to zero.

Then:

p(t) = V0*cos(25°)*t

Now we know that in t = 25s, the position is 70km

(because the projectile travelled 70km in 25 seconds) then:

p(25s) = 70km = V0*cos(25°)*25s

Now we can solve this for V0.

V0 = 70km/(cos(25°)*25s) = 3.1 km/s          

The initial velocity of the projectile is 3.1 km/s              

The thing you can get from this is that we can analyze the vertical problem and the horizontal problem separately (for example, here we only solved the horizontal case and we ignored the vertical one).

what equation describes these relationships?

1. (-3,-9), (-2,-6), (-1,-3), (0,0)
2. (3,0), (2,-1), (1,-2), (0,-3)
3. (0,0), (1,-3), (2,-6), (3,-9)

a. y=3x
b. y=-3x
c. y=x-3​

Answers

Number 1 is y=3x
Number 2 is y=x-3
Number 3 is y=-3x

14. Which of the following ideas is NOT a part of cell theory?
A. There are only plant and animal cells
B. All living things contain at least one cell
C. Cells come from other cells of the same kind
D. Cells are the basic unit of structure and function of living things

Answers

Cell theory states that all living things contain at least one cell, and there are certainly more types of living things than simply plants and animals. For example bacteria and fungi.

So your answer would be A.

Answer: C

Explanation:

all the other ones are part of the cell theory

Richard Julius once made a model plane that could travel a max speed of 110 m/s. Suppose the plane was held in a circular path by a control line. Suppose the plane ran out of gas while moving at its maximum speed and Richard Julius pulled the line in to bring the plane home while it continued in a circular path. If the line's initial length is 120 m and Richard Julius shortened the line by 0.80 m every second, what was the plane's speed after 33.0 s?

Answers

Answer:

85.8 m/s

Explanation:

We know that the length of the circular path, L the plane travels is

L = rθ where r = radius of path and θ = angle covered

Now,its speed , v = dL/dt = drθ/dt = rdθ/dt + θdr/dt

where dθ/dt = ω = angular speed = v'/r where v' = maximum speed of plane and r = radius of circular path

Now, from θ = θ₀ + ωt where θ₀ = 0 rad, ω = angular speed  and t = time,

θ = θ₀ + ωt = 0 + ωt = ωt

So, v = rdθ/dt + θdr/dt

v = rω + ωtdr/dt

v = (r + tdr/dt)ω

v = (r + tdr/dt)v'/r

v = v' + tv'/r(dr/dt)

v = v'[1 + t(dr/dt)/r]

Given that v' = 110 m/s, t = 33.0s, r = 120 m and dr/dt = rate at which line is shortened = -0.80 m/s (negative since it is decreasing)

So, v = 110 m/s[1 + 33.0 s(-0.80 m/s)/120 m]

v = 110 m/s[1 + 11.0 s(-0.80 m/s)/40 m]

v = 110 m/s[1 + 11.0 s(-0.02/s)]

v = 110 m/s[1 - 0.22]

v = 110 m/s(0.78)

v = 85.8 m/s

analyse the extent to which the media portrays unhealthy body images and discuss how this may affect individuals

Answers

Tamamlsmskskkskskwk çok iyi bir insan

You wake up in the morning and get out of bed. Does the floor feel cold or warm on your bare feet? On the lines below, write a sentence that compares how it feels to step on a bare floor and on a rug on a cold morning

Answers

When you get out of bed in a morning it's most likely too be cold so your bare feet on a floor not carpet a bare floor will feel cold since the temperature and molecules had changed and if you step on a warm fuzzy rug it will feel warm since your feet are cold and the rugs fuzziness or material keeps you warn

We feel more cold on feet on morning because heat from our feet will flow to the cold floor. We feel more cold on the bare floor than the rug since it conducts heat away from our feet.

What is heat transfer?

Heat will be transfer on a temperature gradient from one substance to the other.  Heat is transferring from the hot body to the colder body. There are three types of heat transfer are there namely, conduction, convection and radiation.

Conduction is the heat transfer in solids , convection in liquids and radiation is the heat or energy transfer mode in gases and vacuum.  At the morning, the floor will be more cool whereas our body will be hotter, thus heat will flow our body to floor make our feet cool.

A bare floor will conduct thermally more than a rug do. Thus the bare floor conducts heat away from our feet and make our feet more cool.

To find more on heat transfer, refer here:

https://brainly.com/question/13433948

#SPJ2

The body of the runner was found in the park one early, hot summer morning. Her body shows rigor in her face, neck, arms, and torso. How long has been dead?

Answers

for a long time but has been preserved by ice

Which way do the trade winds usually blow in the Pacific Ocean

Answers

Answer:

Hey mate.....

Explanation:

This is ur answer......

Winds and currents in the Pacific flow predominantly from East to West. Above the equator Pacific Ocean trade winds blow from the northeast. Below the equator they blow from the southeast.

Hope it helps!

mark me brainliest plz.....

Follow me! :)

What is the gravitational force between two 15-kg packages that are 0.35 cm apart?

Answers

Answer:

u wanna play some blox?

Explanation:

how might have atomic numbers of elements indicate that newly discovered elements would have to have very high atomic numbers

Answers

Answer:

The scientists who discovered them will start things off by proposing a name. But it will be down to the International Union of Pure and Applied Chemistry (IUPAC) to approve it.

I'm slow...

Newly discovered elements often occur at the bottom of the groups where they occur in the periodic table hence they must have very high atomic numbers.

In the periodic table, the properties of elements are arranged in increasing order of their atomic numbers according to the modern periodic law. As you move down the group, the atomic numbers of elements continue to increase.

Since the properties of elements are periodic, newly discovered elements often occur at the bottom of the group hence they have very high atomic numbers.

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What is a soundwave please quick

Answers

In physics, sound is a vibration that propagates as an acoustic wave, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain.

brick falls from a height of 10 m. Calculate the time taken for the brick to reach the ground.​

Answers

Use physics kinematic equations to solve for t. Lookup physics kinematic problems on Kahn for more understanding.

Tonks changes her hair color for a party with a red color rinse. The next day, she washes the color out of her hair and it returns to its original brown color. Has a chemical change occurred? Explain your answer.

Answers

Answer: No , a chemical change has not occured as it was easily reversed.

Explanation:

Chemical change is defined as a change in which rearrangement of atoms take place and leads to formation of new substances. It can only be reversed with the help of a chemical reaction.

Physical change is defined as a change which leads to change in shape, size or state of the substance changes. No new substance is formed.It can be easily reversed.

As the hair colour was washed out and returned to its original brown colour, it was a physical change.

a wall is painted yellow with yellow paint. explain why the paint makes the wall look yellow

Answers

The paint makes the wall look yellow because of the pigment in it.
Because the paint has pigment in it


If there was no pigment in the paint the wall would be a dull white colour

A ball rolls from point A to point B. The total energy of the ball at point A isn’t the same as the sum of its potential energy and kinetic energy at point B. Which statement best explains this situation?
The rolling ball doesn’t follow the law of conservation of energy.

Some of the ball’s energy is transformed to thermal energy.

The rolling ball loses some of its energy because of gravity.

The ball absorbs some of its own potential energy.

Answers

Answer:

option b

Explanation:

because the law of conservation

it means that energy can never created nor be destroyed

even it will change into another form if energy

Answer: B

Explanation:


A wagon with an initial velocity of 2 m/s and a mass of 60 kg, gets a push with 150 joules of
force. Apply your scientific knowledge and understanding of work-energy theorem to calculate
the wagon's final velocity.

Answers

Answer:

v_f = 3 m/s

Explanation:

From work energy theorem;

W = K_f - K_i

Where;

K_f is final kinetic energy

K_i is initial kinetic energy

W is work done

K_f = ½mv_f²

K_i = ½mv_i²

Where v_f and v_i are final and initial velocities respectively

Thus;

W = ½mv_f² - ½mv_i²

We are given;

W = 150 J

m = 60 kg

v_i = 2 m/s

Thus;

150 = ½×60(v_f² - 2²)

150 = 30(v_f² - 4)

(v_f² - 4) = 150/30

(v_f² - 4) = 5

v_f² = 5 + 4

v_f² = 9

v_f = √9

v_f = 3 m/s

Hi people; there's a question that has been so confusing for me and a friend of mine.
0°C + 0°C = 64°F
Is this correct or wrong?

Answers

Answer:

The correct answer is: 0°C + 0°C = 32°F

Explanation:

We need to remember the conversion equation from Celsius to Fahrenheit:

[tex]y^{\circ}F=(x^{\circ}C * \frac{9}{5})+32[/tex]

In our case x = 0, then y will be:

[tex](0^{\circ}C * \frac{9}{5})+32=32[/tex]

[tex]y=32^{\circ}F[/tex]

Now 0°C + 0°C is just 0°C because if we add a body at a certain temperature to another body with the same temperature the total temperature will the same.

Then, knowing that 0°C = 32°F we can conclude that:

[tex]0^{\circ}C+0^{\circ}C=32^{\circ}F[/tex]

I hope it helps you!              

A boat trip travels are 15 miles in the direction of 45° east of north for an hour the boat then turn and travels at 18 m/s in a direction 5° north of East for an hour

Answers

Answer:

Hello your question is incomplete below is the missing piece

What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.

answer :  25.73 m/s

Explanation:

Given

V1 = 15 miles/hour =  6.71 m/s [ 45° EN ]

V2 = 18 m/s [ 5° NE ]

Calculate  the resultant velocity

Vr = 6.71 m/s[45°] + 18m/s[5°].

Vr = ( 6.71 *Cos45° + 6.71 *sin45°) + ( 18 *Cos5° + 18*sin5° )

Vr = ( 4.74  + 4.74 i  )+  ( 17.93 + 1.57i) = 22.67 + 12.18i.

Therefore the magnitude

= [tex]\sqrt{22.67^2 + 12.18^2}[/tex] = 25.73 m/s

Alondra applies 24 N of force to the end of a stick (a type of lever) to open a can of paint.
The lid resists with 6 N of force. What is the mechanical advantage?

Answers

Answer:

1/4

Explanation:

Mechanical Advantage = Load/Effort

Given

Effort applied = 24N

Load = 6N

Substitute

MA = 6/24

MA = 1/4

Hence the mechanical advantage is 1/4

Answer:

4

Explanation:

24n/6n=4

What is the acceleration of an object that goes from 45m/s to 10 m/s in 5 seconds?

Answers

Answer:

[tex]\boxed {\boxed {\sf a= -7 \ m/s^2}}[/tex]

Explanation:

Acceleration is the change in velocity over time.

[tex]a= \frac {v_f-v_i}{t}[/tex]

The object accelerates from 45 meters per second to 10 meters per second in 5 seconds. Therefore,

[tex]v_f=10 \ m/s \\v_i= 45 \ m/s \\t= 5 \ s[/tex]

Substitute the values into the formula.

[tex]a= \frac{ 10 \ m/s - 45 \ m/s}{5 \ s}[/tex]

Solve the numerator.

[tex]a= \frac { -35 \ m/s}{5 \ s}[/tex]

Divide.

[tex]a= -7 \ m/s/s[/tex]

[tex]a= -7 \ m/s^2[/tex]

The acceleration of the object is -7 meters per square second. The acceleration is negative because the object's velocity decreases and the object slows down.

A child riding a bike has a total mass of 60kg. What is the momentum of the child-bike system if the child rides a distance of 200 m in 5 seconds at a constant speed?

Answers

Answer:

Momentum = 2,400 Pa

Explanation:

Given:

Total mass = 60 kg

Distance travel = 200 m

Time = 5 sec

Find:

Momentum

Computation:

Velocity = Distance / time

Velocity = 200 / 5

Velocity = 40 m/s

Momentum = Mass x Velocity

Momentum = 60 x 40

Momentum = 2,400 Pa

What is the formation of a shadow?

Answers

Answer:

Shadows are formed when an opaque object or material is placed in the path of rays of light. The opaque material does not let the light pass through it. The light rays that go past the edges of the material make an outline for the shadow

Explanation:

True or false question scientists can predict when an earthquake will occur

Answers

Answer:

False

Explanation:

Neither the USGS nor any other scientists have ever predicted a major earthquake. USGS scientists can only calculate the probability that a significant earthquake will occur in a specific area within a certain number of years.

ILL MARK BRAINLIEST
PLEASE HELP
2.Write the formula associating energy with power ​

Answers

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters.

Explanation:

Sub to Beast_Building on yt

A major contemporary learning view of personality which holds that personality traits result from a
person's learning history and his or her expectations, beliefs and other cognitions.

Answers

Answer:

hh

Explanation:

Yass QUEEN. What is the relationship between Pressure, Area, and Force?

Answers

Answer:

pressure=force/area is therelationship between Pressure, Area, and Force.

How did the police catch the Golden State Killer?

Answers

Answer:

lhf

Explanation:

.

Which of the following would have the most momentum?
A. A train traveling 60 miles per hour.
B. A motorcycle traveling 60 miles per hour.
C. A car traveling at 60 miles per hour.
D. A basketball traveling 60 miles per hour.

Answers

Answer:

A. A train traveling 60 miles per hour.

Explanation:

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

This ultimately implies that, the mass of an object or body is directly proportional to its momentum. Thus, the higher the mass of an object or body, the greater would be its momentum and vice-versa.

Hence, a train traveling 60 miles per hour would have the most momentum because it has the greatest mass among the other objects (options).

A wire has compasses placed around it and a current is passed through the wire. What happens to the compasses

Answers

Answer:

If you hold a compass near a wire through which current is flowing, the needle on the compass will be deflected. Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing

Explanation:

good luck

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