Optimus Prime is flying straight up at 24 m/s when he accidentally drops his mega-ray blaster and it falls 94 m to the ground below. Calculate how long it takes for his mega-ray blaster to hit the ground.

Answers

Answer 1

Answer:

The time it will take the mega-ray blaster to hit the ground is 2.57 s.

Explanation:

Given;

initial velocity of Optimus Prime, u = 24 m/s

height of fall of the mega-ray blaster, h = 94 m

The time of fall of the mega-ray blaster is calculated using the following kinematic equation;

[tex]h = ut + \frac{1}{2}gt^2\\\\94 = 24t + \frac{1}{2}(9.8)t^2\\\\94 = 24t + 4.9t^2\\\\4.9t^2 +24t -94 = 0\\\\Use \ formula \ method \ to \ solve \ for \ "t"\\\\a = 4.9 , b = 24, c = -94\\\\t = \frac{-b \ +/- \ \sqrt{b^2 -4ac} }{2a} \\\\t = \frac{-24 \ +/- \ \sqrt{(24)^2 -4(-94 \times4.9)} }{2(4.9)} \\\\t = \frac{-24 \ +/- \ \sqrt{2418.4} }{9.8}\\\\t = \frac{-24 \ +/- \ 49.177 }{9.8}\\\\t = \frac{-24 \ +\ 49.177 }{9.8} \ \ or \ \ t = \frac{-24 \ -\ 49.177 }{9.8} \\\\[/tex]

[tex]t = 2.57 \ s \ \ or \ \ t = -7.47 \ s[/tex]

t = 2.57 s

Therefore, the time it will take the mega-ray blaster to hit the ground is 2.57 s.


Related Questions

Help Help!!

Alcohol ___ the central nervous system and the peripheral nervous system.
A. sedates
B. stimulates
C. bypasses

Answers

Answer:

I think it is the answer A

Explanation:

Alcohol won't stimulate the central nervous system and the peripheral nervous system because the fact that the brain and the nervous system are affected can lead to many consequences: disorders of vision, hearing, motor coordination ...

Alcohol will therefore have a damaging effect, it will therefore sedate the nervous system.

Answer:A

Explanation:sedates

Calculate the heat energy needed to change the temperature of 2 kg of copper from 10°C to 110°C.

If you could show your process and equations used, that would be very helpful! Thanks!

Answers

Answer:

77000 J

Explanation:

Formula for the heat energy is;

Q = m•c•Δt

We are given;

mass; m = 2 kg

Change in temperature; Δt = 110 - 10 = 100 °C

From online values, specific heat capacity of copper is; c = 385 J/kg.°C

Thus;

Q = 2 × 100 × 385

Q = 77000 J

Answer:

heat = 20 Kcal

Explanation:

A 0.53 kg arrow leaves a bowstring at a velocity of 63 m/s. If the arrow was initially at rest and then the string applied a force on it for 7 x 10-3 seconds, what was the approximate average force in Newtons that acted on the arrow during this time?

Answers

Answer:

4770 N

Explanation:

Momentum is the product of mass and velocity and force is the change in momentum divided by change in time.

Given from the question;

Mass of arrow= 0.53 kg

Velocity of arrow = 63 m/s

Initial velocity of arrow = 0 m/s

Change in time = 0.007 s

Finding momentum after the arrow is released as;

p=m*v

p= 0.53 * 63

p= 33.39 kg*m/s

Force is the change in momentum divided by change in time;

F= 33.39 / 0.007

F= 4770 N

physical science is the connection between
A. atoms and cells
B. energy and life
C. matter and rocks
D. matter and energy

Answers

Answer:

d d d d d d s d. d d d d d df ff f f. f f f r r ff f f ff d f f f f f f f f f r. ff r f. r

helpp please
ASAP...​

Answers

Answer:

I believe it to be option A

Explanation:

A man drops a ball off of a 7.2 m high cliff, what is the ball's velocity as it hits the ground?
(- 12m/s)
Proof llease

Answers

Answer:

19.3 m/s

Explanation:

Take down to be positive.  Given:

Δy = 19 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (9.8 m/s²) (19 m)

v = 19.3 m/s

My camera quality is bad. Sorry..

An ostrich with a mass of 141 kg is running to the right with a velocity of 13m/s. Find the momentum of the ostrich. Answer in units of Kg.m/s

Answers

Answer:

1833 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 141 × 13

We have the final answer as

1833 kg.m/s

Hope this helps you

Delaney loves her new kiddie pool, but she is afraid to get wet. She crawls around the outside of the pool for hours. Jocelyn says Delaney is making rotations around the pool and Jonathan says Delaney is making revolutions around the pool. Who is correct? Suppose your answer with evidence.

Answers

Answer:

Revolutions

Explanation:

What average net force is required to accelerate a 3950 kg bus to a speed of 25m/s in 10.5 s?

Answers

Answer:

Explanation:

ACCELERATION = CHANGE IN VELOCITY

                                          TIME  TAKEN

∴ a = 25 - 0

         10.5

∴ a =   50    

           21    

by using f = ma,

we get , f =   3950 ×  50                                                                                  

                                     21

∴  A FORCE OF 9404.8 N IS NEEDED TO ACCELERATE A BUS OF 3950 KG.

3. Missy Diwater, the former platform diver for the Ringling Brother's Circus, had a kinetic energy of 12,000 ) just prior to hitting the bucket of water. If Missy's mass is 40 kg, then what is her speed?​

Answers

Answer:

v = 24.49[m/s]    

Explanation:

We must remember that kinetic energy can be calculated by means of a mathematical expression, which relates kinetic energy to mass and velocity

[tex]E_{kin}=\frac{1}{2}*m*v^{2} \\[/tex]

where:

Ekin = kinetic energy = 12000 [J]

m = mass = 40 [kg]

v = velocity [m/s]

[tex]12000=\frac{1}{2} *40*v^{2}\\24000=40*v^{2}\\600=v^{2}\\v=\sqrt{600}\\v=24.49[m/s][/tex]

Create a following distance greater than 3 seconds ahead when_______. a driver behind you is trying to pass you are not in a hurry there is no traffic on the road you are traveling in front of a motorcycle.

Answers

Answer:

option (a)

Explanation:

Maintaining distance while driving in traffic can avoid the chances of an accident.                        

When the driver is behind you is trying to pass you to avoid the collision you should maintain a distance greater than 3 sec.

Hence, option (a) is correct.

 

Answer:

a driver behind your vehicle is trying to pass you

Explanation:

took test and checked

Trolley A, of mass 180 g, is moving at a velocity of 4 m/s towards trolley B
which is stationary and has a mass of 120 g. Trolley A then collides with
trolley B.
Calculate the speed of trolley B if:
i the collision is elastic (trolley A stops and trolley B moves off)

Answers

Answer:

To solve typical questions like this we can use law of conversation of linear momentum...which is

T.I.L.M.=T.F.L.M.

(Total initial linear momentum = total final linear momentum.)

Momentum = mass × velocity

T.I.L.M = T.F.L.M

180×4 + 120×0 = 180×0 + 120×V

(180 ×4)/120 = V

6Ms^-1 = v

The weight of a 0.5 kg object on the surface of Planet X is 20 N. If the radius of the planet is 4 X 106 m, what is its mass?

Answers

Answer:

The mass of the Planet X is 9.595 x 10²⁴ kg.

Explanation:

mass of the object, m = 0.5 kg

radius of the Planet X, r = 4 x 10⁶ m

weight of the object, W = F = 20 N

let the mass of the Planet  X = mₓ

Apply Newton's gravitational law;

[tex]F = \frac{Gmm_x}{r^2} \\\\m_x = \frac{Fr^2}{Gm} \\\\m_x = \frac{(20)(4\times 10^6)^2}{6.67 \times 10^{-11} \ \times \ 0.5} \\\\m_x = 9.595 \times 10^{24} \ kg[/tex]

Therefore, the mass of the Planet X is 9.595 x 10²⁴ kg.

HELP ASAP!
Everything on screenshot.

Answers

Answer:

11. D

12. A

13. B

Explanation:

Hello! I hope this helps!


1. The surface where they slip is called the fault or fault plane.

2. identifying minerals. Hardness is determined by the ability of one mineral to scratch another. ... Each higher-numbered (harder) mineral will scratch any mineral with a lower number (softer).

3. The crust, the outermost layer, is rigid and very thin compared with the other two.The mantle, which contains more iron, magnesium, and calcium than the crust, is hotter and denser because temperature and pressure inside the Earth increase with depth.

If you want to delay a pulse of light in a laser experiment, you can send the light through a long coil of fiber optic cable. Light travels somewhat slower in the glass core of a fiber than it does in vacuum. We will approximate the speed of light in the fiber as 2.04 x 108 m/s. What length of fiber (in meters) should you use if you want to delay the arrival of light by 557 ns

Answers

Answer:

d = 113.6 m

Explanation:

For this exercise, the first thing we must notice is that the speed of the laser beam in the fiber is constant, so we can use the uniform motion relationships to find the necessary distance

          v = d / t

let's reduce to SI units

         t = 557 ns = 557 10⁻⁹ s

         d = v t

         d = 2.04 10⁸ 557 10⁻⁹

         d = 1.136 102 m

         d = 113.6 m

This is the distance of the fiber for the laser to arrive with the desired delay

A 75 kg person climbs the 248 steps to the top of the Cape Hatteras lighthouse, a total climb of 59 m. How many Calories does he or she burn

Answers

Answer:

W = 41.45 Kcal

Explanation:

Given that,

The mass of a person, m = 75 kg

He climbs 248 steps to the top of the Cape Hatteras lighthouse, a total climb of 59 m.

We need to find how many calories does he or she burn.

Work done = Fd

d is displacement

⇒ W = 75 ×9.8 ×59

= 43365  J

Let the efficiency is 0.25.

[tex]W=\dfrac{43365}{0.25}\\\\=173460\ J\\\\\text{or}\\\\=41.45\ kcal[/tex]

So, 41.45 Kcal is burned by the person.

if a train has 1,450 kg of momentum and is traveling at 40 m/s ¿what is the mass of tren?
Help plis I have this wrong

Answers

Answer:

P=mv

1x450,200=m40

m= 36,255kg

Ben runs from a position 3 m west of Main Street to a new position 45 m
west of Main Street in 6 seconds. What is Ben's velocity?
O
A. 7 m/s east
B. 7 m/s west
C. 8 m/s west
O
O
D. 8 m/s east
SUBMIT

Answers

Answer:

Option B. 7 m/s West.

Explanation:

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

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Time (t) = 6 s

Velocity (v) =?

Next, we shall determine the displacement of Ben. This can be obtained as follow:

Position 1 (P₁) = 3 m West

Position 2 (P₂) = 45 m West

Displacement =?

Displacement = P₂ – P₁

Displacement = 45 – 3

Displacement = 42 m West

Finally, we shall determine the velocity of Ben. This can be obtained as follow:

Time (t) = 6 s

Displacement (d) = 42 m West

Velocity (v) =?

v = d/t

v = 42 m West / 6 s

v = 7 m/s West

Thus the velocity of Ben is 7 m/s West

Help! Help!

Alcohol abuse has...
A. only physiological aspects.
B. only psychological aspects.
C. physiological and psychological aspects.

Answers

Answer

I feel the answer is C because it could cause mental and physical trauma

Explanation:

Three displacements are A = 200 m due south, B %3D 0 m due west, and C = 150 m at 30.0° cast of north. %3D Construct a separate diagram for each of the following possible ways of adding these vectors: R = A +B - č, Explain what R = B + C + A; R =C + B + A %3D you can conclude from comparing the diagrams.

Answers

Answer:

a) The diagrams can be seen in the picture attached

(b) By comparing the diagrams we can conclude that the resultant R₁ = R₂ = R₃

Further explanation

Vector is quantity that has magnitude and direction.

One example of a vector is acceleration.

Acceleration is rate of change of velocity.

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

This problem is about Vector and Vector Diagram.

Given:

Vector A = -200 j

Vector B = -250 i

Vector C = (150 sin 30.0°) i + (150 cos 30.0°) j = 75 i + 75√3 j

Unknown:

R₁ = A + B + C = ?

R₂ = B + C + A = ?

R₃ = C + B + A = ?

Solution:

R₁ = A + B + C  = (-200 j) + (-250 i) + (75 i + 75√3 j)

R₁ = -175i + (75√3 - 200)j

R₂ = B + C + A = (-250 i) + (75 i + 75√3 j) + (-200 j)

R₂ = -175i + (75√3 - 200)j

R₃ = C + B + A  = (75 i + 75√3 j) + (-250 i) + (-200 j)

R₃ = -175i + (75√3 - 200)j

From the results above, it can be concluded that the resultants above produce the same results. This can be confirmed from the diagrams in the attachment.

Explanation:

When the Moon is at a distance of 0.25 D from the Earth, the gravitational force on the Moon from the Earth is 16.00 F. At what distance will the force on the Moon be 4.00 F?

Answers

Answer:

On the way to the Moon the Apollo astronauts reached a point where the. Moon's gravitational pull became stronger, than the Earth's. (a) Determine the distance of ...

Explanation:

1. What is the significance of the slopes of the two graphs?
2. Using the graphs, calculate the acceleration for each scenario?
3. What is the relationship between force, mass, and acceleration? Explain using data

Answers

Answer:

1. The velocity of the wagon decreases when Tradi is in the wagon because the mass increases while the external force stays constant.

2. The basic formula for calculating acceleration is a=F/a

Tommy along, acceleration: it will be 2.5 m/s^2. a=100/40

Tommy + Tradi = it will be about 1.66 m/s^2 since a=100/60

3. Well, you see, F=ma, when mass increases, the force decreases.

The relationship between mass and force is inversely proportional.

According to the graphs, velocity increases when there's less mass, which you could say that they are also inversely proportional.

Another comparison,

As the force applied on an object increases, when the mass stays constant, the acceleration also increases. Which means that they are directly proportional.

Calculate the volume of 1280 kilograms of aluminium if the density is 2700kg/m3

Answers

Answer:

0.47m3

Explanation:

Volume = Mass / Density

In this case:

Mass - 1280 kg

Density - 2700kg/m3

1280 / 2700 = 0.4740741m3

When this is rounded off ( 2 d.p ):

0.47 m3

HOPE THIS HELPED

Which of the following is NOT a possible type of law that a government could pass to help fight climate change?
1. Making greenhouses gas production illegal
2. Regulating the amount of greenhouse gases businesses can produce
3. Funding research on technologies that are better for the environment than those we currently use
4. Providing tax incentives for businesses and people to take action

Answers

Answer:

4

Explanation:

because people could lie about it

What does Newton's first law describes​

Answers

The idea that objects only change their velocity due to a force is encapsulated in Newton's first law. Newton's first law: An object at rest remains at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force.

The Sun's energy comes from which nuclear reaction? O A. Two nuclei joining to form a larger nucleus OB. Two nuclei giving off alpha particles OC. A nucleus splitting to form two or more smaller nuclei D. A nucleus giving off a positron​

Answers

Answer:

Nuclear Fusion reactions power the Sun and other stars. In a fusion reaction, two light nuclei merge to form a single heavier nucleus. The process releases energy because the total mass of the resulting single nucleus is less than the mass of the two original nuclei.

Explanation:

The sun's energy comes in the form of a nuclear reaction due to the Two nuclei joining to form a larger nucleus. Thus option A is correct.

What is nuclear fusion?

A nuclear fusion is a reaction in which 2 or more atomic nuclei combine to form one or more atomic nuclei and is manifested by the release or the absorber of energy.

This is due to the differeces in the nuclear binding energy due to the force of nuclei before and after the reaction. The process releases energy as single declines less than the mass of the original nuclei.

Find out more information about the nuclear reaction.

brainly.com/question/984564

Say a funny joke and whoever makes me laugh the hardest gets brainliest or however u spell it haha

Answers

Ight bet
I told my friend she was drawing her eye brows to high and she look surprised

You don’t need a parachute to go skydiving but you do need it to go twice

People only call me ugly till they figure out how much money I make then that call me ugly and poor

You’re not completely useless you can always serve as a bad example

Answer:

i cant make funny joke

Explanation:

but i can be alive.

wait no, im failing at that currently.

Please help me and thank you

Answers

Answer:

536.56 m/s

Explanation:

We'll begin by calculating the momentum of the Porsche. This can be obtained as follow:

Mass (m) of Porsche = 1361 kg

Velocity (v) of Porsche = 26.82 m/s

Momentum of Porsche =?

Momentum = mass × velocity

Momentum = 1361 × 26.82

Momentum of Porsche = 36502.02 Kgm/s

Finally, we shall determine the velocity you need to be running with in order to have the same momentum as the Porsche. This can be obtained as follow:

Your Mass = 68.03 kg

Your Momentum = Momentum of Porsche = 36502.02 Kgm/s

Your velocity =?

Momentum = mass × velocity

36502.02 = 68.03 × velocity

Divide both side by 68.03

Velocity = 36502.02 / 68.03

Velocity = 536.56 m/s

Thus you must be running with a speed of 536.56 m/s in order to have the same momentum as Porsche.

You push your friend, whose mass is 54kg, down a hill so she can go sledding. Her acceleration is 3m/s2. Calculate the amount of force you applied to your friend.

Answers

Answer:

18 newtons

Explanation:

Divide weight by speed

10. Luther is designing a roller coaster for an amusement park. At one point, the roller coaster will enter a horizontal loop at the speed of 31.8 m/s. If Luther does not want to centripetal acceleration to exceed 29.0 m/s^2, what is the minimum radius of the horizontal loop?

16. When a certain roller coaster is at the top of a 61 m hill, it has no velocity. As the coaster descends the hill, it gains speed. What is the roller coasters speed when the it has a height of 34 m above the ground?

Please answer both of you can!!

Answers

Answer:

centripital acceleration= v^2/r

r = v^2/a

r=31.8×31.8/29

r=34.8703m

Explanation:

the maximum acceleration is obtained with minimum radius.

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Jane ran 15.2 miles she ran 6.7 miles on Saturday how many miles did she run on Sunday Heather buys 12 patio chairs for $366. Each chair costs the same amount.Part AWhich equation represents the best estimate for the cost of each chair? A. $350 5 = $70 B. $360 12 = $30 C. $400 10 = $40 D. $400 20 = $20 What happens when liquid changes to gas?1.Added heat makes water molecules move fast enough to overcome the attractionbetween them2. Heat causes molecules to speed up and merge together (Which one?) 01:29:56What must be true about two objects if heat is flowing between them?The objects must be different temperatures. The objects must be the same temperature. The objects must both be over room temperature.The objects must both be under room temperature. Necesito unos libros. Yo voy a la _____.oficinabibliotecapasillogimnasioONLY ANSWER IF YOU ARE GOING TO GIVE ME THE ANSWER if you think about doing random letters or not giving me my answer I'mma REPORT YOU!! help meee pleasee !!! i need a essay on cyberbullying whats the answer. article: Herb Behavior (commolit)a- it shuts down.b-it grows weakerc-it grows strongerd- it remains the same According to many anthropologists, a land bridge during the Ice Age allowed migration between which two continents?O Asia and North AmericaO Europe and AsiaO South America and North AmericaNorth America and Europe2.3.5 1. How many terms are in the following expression5x^2 + 2x + 4 2. What is the value of 4x - 6 X when X = 6 HELP!!! DUE TONIGHT!! 10 PTS!!the answers are given already but my teacher wants me to show work...pls help!!! which of these suggestions would not help you when setting goal? a. making your goal very generalb. making it similar to your other goalsc. make sure its satisfying d. find out if adults support you After World War I, nativism became more prominent in America. What is nativism? A block slides along a frictionless surface and onto a slab with a rough surface. The slab has mass of 4 kg and the block has mass of 2 kg. What is the friction force on the small block at t = 1 second? Solve the inequality This is the one i need help with help and explain If m=3 and b=6 what is the correct slope intercept equation Here is the same question but a bit bigger PLEASE I NEED HELP I WILL GIIVE 20 POINTS I NEED IT FASTWhich word could best be used in place of the word dock in this sentence?The sailor pulled his boat up to the dock and tied it to the post before getting off.A. barbB. vagabondC. quayD. clamor I, ABRAHAM LINCOLN, President of the United States, do proclaim, declare, and make known to all persons who have, directly or by implication, participated in the existing rebellion, except as hereinafter excepted, that a full pardon is hereby granted to them and each of them, with restoration of all rights of property, except as to slaves, and in property cases where rights of third parties shall have intervened, and upon the condition that every such person shall take and subscribe an oath, and thenceforward keep and maintain said oath inviolate; and which oath shall be registered for permanent preservation, and shall be of the tenor and effect following, to wit . . .Proclamation of Amnesty and Reconstruction,Abraham LincolnWhat did people have to do in order for President Lincoln to grant them a full pardon? They had to take an oath.They had to free enslaved people.They had to end their rebellion.They had to give up their property.