A projectile is shot horizontally from the edge of a cliff, 400 m above the ground. The projectile is traveling horizontally at 65 m/s the moment it leaves the cannon.

What is the initial vertical velocity of the projectile?

Determine the time taken by the projectile to hit the ground.

How far does the projectile land from the base of cliff?

Find the vertical component of the velocity just before the projectile hits the ground.

What is the magnitude of the final vector velocity the instant before it hits the ground?

What is the direction of the final vector velocity the instant before it hits the ground?

Answers

Answer 1

Answer:

a)  [tex]v_{oy}[/tex] = 0,  b)  t = 9.035 s, c) x = 587.275 m, d)  v_y = -88.54 m / s,

e) v = 109.84 m / s,  f)  θ = -53.7º

Explanation:

This exercise is a projectile launch

a) as the projectile is launched horizontally, its initial vertical velocity is zero

          [tex]v_{oy}[/tex] = 0

b) let's use the relation

          y = y₀ + v_{oy} t - ½ g t²

when reaching the ground y = 0 and the initial vertical velocity is v_{oy}=0

         0 = y₀ + 0 - ½ g t²

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

         t = [tex]\sqrt{ \frac{ 2 \ 400 }{ 9.8} }[/tex]

         t = 9.035 s

c) the horizontal distance is

         x = v₀ₓ t

         x = 65  9.035

         x = 587.275 m

d) the vertical speed when touching the ground

         v_y = [tex]v_{oy}[/tex] -gt

         v_y = 0 - 9.8 9.035

          v_y = -88.54 m / s

the negative sign indicates that the velocity is directed downwards

e) the velocity at this point

          v = [tex]\sqrt{ v_x^2 + v_y^2}[/tex]

          v = [tex]\sqrt{65^2 + 88.54^2}[/tex]

          v = 109.84 m / s

f) the direction of the velocity

let's use trigonometry

          tan θ = v_y / vₓ

          θ = tan⁻¹1 v_y / vₓ

          θ = tan⁻¹ (-88.54 / 65)

          θ = -53.7º

this angle is measured clockwise


Related Questions

HELPPPPPP this due in 10 mins

Answers

Answer:

I dont really know but i think its water type of energy

Explanation:

Hope it helps

The type of energy that takes place in the model is Electrical Energy


A meterologist made these observations one day:
• In the morning, anocean wave hit a shoreline every 15 seconds.
• In the afternoon, an ocean wave hit the shorlinie every 30 seconds.
Identify whether the ocean waves transferred more or less energy in the morning than in the afternoon.
Write your answer in complete sentences.

Answers

Answer:

They transfered more energy in the morning.

Explanation:

This is because, let me put this in simple words, you have more energy, you can run more laps around the track, right? This is the same with  the waves. They have more energy, so they can crash aganst the shore more!

what is the formula for acceleration?

Answers

Answer:

Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt. This allows you to measure how fast velocity changes in meters per second squared (m/s^2). Acceleration is also a vector quantity, so it includes both magnitude and direction.

Explanation:

Help ASAP
Which of the following items cannot produce electricity?
Wind Turbines
Solar Panels
Stove Top
Dams

Answers

B. Stove top

Brainliest?

9. If the frequency of a certain light is 3.8 x 1024 Hz, what is the energy of this light?

Answers

Answer:

E=hf

Were, h = Planck constant 6.67*10^11

E=3.8*10^24 * 6.67*10^11= 2.508*q0^36j

1. A ball rolls off a 1.0 m high table and lands on the floor, 3.0 m away from the
table.

A. What is the vertical velocity of the ball just before it hits the floor?
d. What is the horizontal velocity of the ball just before it hits the floor

Answers

Answer:

5.55m/s

Explanation:

The vertical velocity of the ball just before it hits the floor is [v] = 4.42 m/s and  horizontal velocity of the ball just before it hits the floor is [u] = 6.6 m/s.

Which type of motion is projectile motion?

Projectile motion is an example of two dimensional motion.

Given is a ball rolls off a 1 m high table and lands on the floor 3 m away from the table.

Using the second equation of motion for the vertical motion -

S = ut + 1/2at²

S = 0 + 1/2at²

S = 1/2at²

t²= 2S/a

t² = (2 x 1)/9.8

t² = 2/9.8  

t² = 0.2040

t = 0.451

Now, the vertical velocity of the ball just before it hits the floor -

v = u + at

v = 0 + at

v = at

v = 9.8 x 0.451

[v] = 4.42 m/s

Now, using the second equation of motion for horizontal direction -

S = ut + 1/2at²

S = ut + 0

3 = u x 0.451

u = 3/0.451

[u] = 6.6 m/s

Which is also the horizontal velocity of the ball just before it hits the floor.

Therefore, the vertical velocity of the ball just before it hits the floor is [v] = 4.42 m/s and  horizontal velocity of the ball just before it hits the floor is [u] = 6.6 m/s.

To solve more questions on Projectile motion, visit the link below-

https://brainly.com/question/17547212

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What is the molar mass of Sodium Hydroxide, NaOH?

Answers

Answer:

40g/mol

Explanation:

The molar mass of a compound is the mass in grams of one mole of the substance.

To find the molar mass of NaOH;

a. Atomic mass of Na = 23g

                              O  = 16g

                               H = 1g

b. So, the NaOH will have a molar mass of:

            23g + 16g + 1g   = 40g/mol

The molar mass of NaOH is   40g/mol

Please write ONE complete sentence describing the relationship between Kinetic Energy and Gravitational Potential Energy in a system
where energy is conserved:

Answers

Answer:

Explanation:

The sum of kinetic and potential energy is the mechanical energy of the system. Assuming the energy of the system is conserved, which it is in your case, then the initial mechanical energy will equal the final mechanical energy. This relationship is very useful in mechanics.

What is the density of an object with the mass of 125g and a volume of 176 m

Answers

Answer:

the density is mass over volume, so you divide 125g over 25 cm3, giving a result of 5 g/cm3

Answer:

The density is mass over volume

so you divide 125g over 25 cm3

giving a result of 5 g/cm3

you welcome have a good day!

An endothermic reaction is one in which heat is transferred from the surroundings to the reactants.


Please select the best answer from the choices provided

T
F

Answers

Answer:

An endothermic reaction is one in which heat is transferred from the surroundings to the reactants.------- true

Answer:

T . Energy is transferred to the reactants

Explanation:

A race car accelerates uniformly from 21.3 m/s to 26.5 m/s in 6.64 seconds. Determine the acceleration of the car and the distance traveled?
(PLEASE HELP ME I REALLY NEED IT)​

Answers

Acceleration is 2.5693 (not rounded) or 2.57 (rounded). Distance Traveled is 158.696 (not rounded) or 158.7 (rounded)

hii please help i’ll give brainliest if you give a correct answer please

Answers

Answer:

they are equal and act in opposite directions

Explanation:

newton's third law of motion states that if object A exerts a force on object B, then object B will exert an equal but opposite in direction force.

hope it helps, I think my response was late,

To calculate acceleration you must know both the objects velocity and_____

Answers

You need to know the time as well.

Can y’all help me pleaseeee

Answers

it would still be 5
the answer is five, hope you have a good one!

A hiker climbs a hill 400 m high. If he weighs 50 kg
caleulate the work he does in lifting his body to the top of the hill

Answers

Answer:

20 is Solvent this is the answer u divide them

The work done on an object is directly proportional to the force on the object, the displacement of the object, and the cosine of the angle between the force and the displacement:

W = Fd cos 0

Energy is the ability to do work.

Work is a scalar quantity, which is usually measured in newton-meters or joules.

Work is 0 when the force is perpendicular to an object's displacement or when the object isn’t displaced.

Complete the following statements for each of these rules

a (?)×(-)=(+)

b (?)×(-)=(×)

c (-)÷(-)=(?)

d (-)×(?)=(-)

e(+)÷(-)=(?)

f(+)÷(+)=?

g(?)÷(+)=(-)

h(-)3=?

i (+)3=?

j(-)2=?

l(+)2=2​

Answers

Answer:

i dont know

Explanation:

Part A
1) What happens when you add a second drip and space both the drips close together? Describe the pattern they form and explain the cause for this pattern in detail.

2)Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.
Part B
1) On the Sound tab, investigate briefly all the phenomena you explored with water waves above and describe any similarities in your results for sound. Specifically, describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier

2) Sound and water waves obviously have many similarities, but they are not exactly the same. Describe all the differences you can think of between sound waves and water waves.
Part C
1) On the Light tab, once again investigate briefly all the phenomena you explored with water and sound above. Describe any similarities in your results for light. Specifically describe
- wave pattern as seen on the screen
- shape and amplitude of the graph
- effect of frequency on wavelength
- effect of frequency on velocity
- pattern with two sources
- wave pattern with a single-slit barrier

2) Light waves have some similarities with water and sound waves, but they are not exactly the same. Describe all the differences you can think of between light waves, sound waves, or water waves

Plz Answer All Questions. tysm.

Answers

Answer:

1) Superposition results in adding the two waves together. Constructive interference is when two waves superimpose and the resulting wave has a higher amplitude than the previous waves. Destructive interference is when two waves superimpose and cancel each other out, leading to a lower amplitude.

I'm sorry thats all I can help with

Answer:

Turn off the second drip and then add a barrier with one slit. What do you observe on the right side of the wall? What do you observe on the left side of the wall? From a physics perspective, explain your observations of what is happening on both sides of the barrier.

Explanation:

 The speed and amplitude of the waves are affected when hitting the barrier. The two waves reflect off the barrier and they travel in opposite directions.

C is correct just an FYI

Answers

Answer:

Huh?

Explanation:

A train reaches a speed of 35.0 m/s after accelerating at a rate of 5.00 m/s2 over a distance of 40.0 m. What was the train’s initial speed?

Answers

Answer:

Initial velocity, U = 28.73m/s

Explanation:

Given the following data;

Final velocity, V = 35m/s

Acceleration, a = 5m/s²

Distance, S = 40m

To find the initial velocity (U), we would use the third equation of motion.

V² = U² + 2aS

Where;

V represents the final velocity measured in meter per seconds.

U represents the initial velocity measured in meter per seconds.

a represents acceleration measured in meters per seconds square.

S represents the displacement measured in meters.

Substituting into the equation, we have;

35² = U + 2*5*40

1225 = U² + 400

U² = 1225 - 400

U² = 825

Taking the square root of both sides, we have;

Initial velocity, U = 28.73m/s

Sloan is running with a momentum of 1850 kg m/s and has a mass of 58 kg. What is her velocity?

Answers

Answer:

v = 31.89 m/s

Explanation:

p = m × v

1,850 = 58 × v

58v = 1,850

v = 1,850/58

v = 31.89 m/s

Please help!! This is due today!!

A shopping bag can provide a force of 65 N before breaking. A shopper puts 5 kg of groceries in the bag. If the shopper tries to lift the bag with an upward acceleration of 2 m/s/s, will the bag break?

Answers

No I don’t think so
Fg= mg
Fg= 5kg• 9,8kg/N
Fg= 49 N

Diego buys a shirt that has a regular price of $15. It is on sale for 10% off. How much money does Diego save?

Answers

Answer:

$1.5

Explanation:

Why was John Paul Jones's victory important in the war? His victory increased France's confidence in the skill of the Continental navy. His victory against a large warship dealt a blow to the Spanish navy. His victory against a superior British foe inspired the American troops.

Answers

Answer:

C. His victory against a superior British foe inspired the American troops.

Explanation:

John Paul Jones is considered the hero in the Revolutionary War. He is known as the Father of the US Navy.

In the Revolutionary War, Jones sided with the American colonists against the British and took hold of naval ships. In 1779, when the British warship Serapis was in conflict with the American warship Bon Homme Richard, Jones plugged the American warship with the Britisher's warship and tossed a grenade into the opponent warship. Thus when Jones was victorious in the war, this boosted the American spirits for the war.

Therefore, option C is the correct answer.

Answer:

c

Explanation:

internal diameter of a test tube

Answers

Answer:

16 mm with 14 mm inside diameter.

The weight of an object at sea level _____.

A. varies from place to place over the ocean
B. is constant at sea level elevation anywhere

Answers

Answer:

here again

Explanation:

here my answer

Select all of the ways collection areas use to gain water.

Question 1 options:

water evaporates from the collection area


runoff from precipitation


precipitation falls direction into the collection area

Answers

Answer:

runoff from precipitation

precipitation falls direction into the collection area

Explanation:

i took the test

A collection area gains water as runoff from precipitation or precipitation falling into the collection area.

A collection area is an area set aside for the purpose of collecting water. This water could come into the collection area as precipitation or as surface run off.

Hence, a collection area could gain water via;

runoff from precipitationprecipitation falling into the collection area

Out of the options in the questions, these are two ways in which collection areas can receive water.

Learn more about surface runoff: https://brainly.com/question/998881

Calculate the change in gravitational potential energy
when a 1.5Kg box falls from a 2m shelf. Take
g=10N/Kg.

Answers

Answer:

30J

Explanation:

Given parameters:

Mass of box  = 1.5kg

Height  = 2m

Acceleration due to gravity  = 10N/kg

Unknown:

Change in gravitational potential energy  = ?

Solution:

 The change in gravitational potential energy is given as:

      ΔGPE  = mgh  

m is the mass

g is the acceleration due to gravity

h is the height

   ΔGPE  = 1.5 x 10 x 2  = 30J

fill in the blanks (about force)
depends on _____ and _____

Answers

Depends on who and where I’m just answering

. Work done by a force depends upon force applied and displacement produced.

the process through which electrons are attracted to or repelled by an external electric field, causing the electrons to move within their own atoms

Answers

Answer:

Polarisation

Explanation:

When the electric field of an atom distorts then the cloud of negative charges move away from the clouds of positive charges. This movement of clouds in opposite direction causes separation of charges and and causes one side positive and one side negative. This process is known as polarisation

A 3000 kg truck travelling at 50km/hr strikes a stationary 1000 kg car, locking the two vehicles
together. What is the final velocity of the two vehicles?
(Please show work)

Answers

Answer:

50 x 3000 = 150000/4000 = 37.5

37.5 I think.

Explanation:

Hope this helps!

A 3000 kg truck travelling at 50km/hr strikes a stationary 1000 kg car, locking the two vehicles together, the final velocity of the two vehicles after the collision is approximately 10.43 m/s.

We may use the concept of conservation of momentum to calculate the final velocity of the two vehicles after the collision.

The total initial momentum (P_initial) is given by:

P_initial = (mass of truck) * (initial velocity of truck) + (mass of car) * (initial velocity of car)

P_initial = (3000) * (50) + (1000) * (0)

The velocity:

Vt = 50 * (1000/3600) = 13.9 m/s

Vc = 0 = 0 m/s

P_initial = (3000) * (13.9) + (1000) * (0 )

P_initial = 41700 kg·m/s

P_initial = P_final

41700 kg·m/s = (3000 kg + 1000 kg) * Vf

41700 kg·m/s = 4000 kg * Vf

Now Vf:

Vf = 41700 kg·m/s / 4000 kg

Vf ≈ 10.43 m/s

Therefore, the final velocity of the two vehicles after the collision is approximately 10.43 m/s.

For more details regarding velocity, visit:

https://brainly.com/question/30559316

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