A television camera is positioned 4 km from the base of a rocket launching pad. In order to keep the rocket in focus as it takes off, the camera must be programmed with the distance to the rocket and how that distance is changing. If we assume that the rocket rises vertically at a speed of 200 km/hr, how fast is the distance from the camera to the rocket changing when the rocket has risen 3 km

Answers

Answer 1

Answer:

120 km/hr

Explanation:

Let D be the distance between the rocket and the camera as the rocket is moving upwards. Let d be the distance the rocket moves and L be the distance between the camera and the base of the rocket = 4 km.

Now, at any instant, D² = d² + L²

= d² + 4²

= d² + 16 since the three distances form a right-angled triangle with the distance between the rocket and the camera as the rocket is moving upwards as the hypotenuse side.

differentiating the expression to find the rate of change of D with respect to time, dD/dt ,we have

d(D²)/dt = d(d² + 16)/dt

2DdD/dt = 2d[d(d)/dt]

dD/dt = 2d[d(d)/dt] ÷ 2D

Now d(d)/dt = vertical speed of rocket = 200 km/hr

dD/dt = 200d/D  [D = √(d² + 16)]

dD/dt = 200d/[√d² + 16]

Now substituting d = 3 km, the distance the rocket has risen into the equation, we have

dD/dt = 200(3)/[√(3² + 16)]

dD/dt = 600/[√(9 + 16)]

dD/dt = 600/√25

dD/dt = 600/5

dD/dt = 120 km/hr

So,  the speed at which the distance from the camera to the rocket changing when the rocket has risen 3 km is 120 km/hr.


Related Questions

Light of intensity So and polarized horizontally passes through three polarizes. The first and third are horizontal, but the second is oriented 0.3927 rad to the horizontal. In terms of So , what is the intensity of the light that passes through the set of polarizers

Answers

Answer: the intensity of the light that passes through the set of polarizers is  0.7285 S₀

Explanation:

based on the data in the question;

As the first polarizer lets all the light through because its plane of polarization is not different from light.

The second polarizer has 2 effects;

firstly, it reduces the intensity by a factor cos²0.3927^c; if you switch the calculator to radians mode, this will give you 0.85355

Secondly; it changes the plane of polarization of the light to be the same as the polarizer; therefore the light now has a plane of polarization of 0.3927 rad to the horizontal.

Hence;

after the second effect, the light enters the third polarizer at 0.3927 rad to the plane of polarization of third polarizer. So the intensity is again reduced by a factor 0.85355.

Therefore

the Overall reduction is by a factor of 0.85355 × 0.85355 S₀

= 0.7285 S₀

Therefore the intensity of the light that passes through the set of polarizers is  0.7285 S₀

please answer True or false

In two square the server earns a point when the opponent catches the ball.​

Answers

true i think?? not 100% because i’m thinking of four square haha

A space probe is sent to an alien planet and conducts an experiment in order to determine the acceleration due to gravity on the planet. It produces the following table

Object Rock Grain of sand Metal bolt
Mass 20 grams 0.8 grams 79 grams
Recorded force of gravity :0.1224 N 0.00501 N 0.4871 N
Given this data, which of the following the closest approximation of the acceleration due to gravity on this planet

a
3.8 m/s^2
b
4.0 m/s^2
c
9.9 m/s^2
d
6.1 m/s^2

Answers

Answer: D. 6.1 m/s^2

Explanation:

An arrow is shot straight up in the air at an initial speed of 15 m/s. After how much time is the arrow heading downward at a speed of 8 m/s?

Answers

Answer:

2.35 seconds

Explanation:

Remark

This is a question where direction matters.  Let us call down + and up minus. It won't matter. The answer will be the same.

Formula

a = (vf - vi)/t

Givens

a = 9.8 m/s^2

vi = - 15 m/s

vf = 8m/s

Solution

9.8 = (8 - - 15)/t                 Multiply both sides by t

t * 9.8 = 23                       Divide by 9.8

t = 23/9.8

t = 2.35 s

A 430.0 g mass is being pushed by a 1.1 N net force. What is the acceleration?

Answers

Answer:

[tex]a = 2.56\ m/s^2[/tex]

Explanation:

Mechanical Force

According to the second Newton's law, the net force exerted by an external agent on an object of mass m is:

F = m.a

Where a is the acceleration of the object.

The object has a mass of m=430 g = 0.43 Kg and is pushed by a net force of F=1.1 N. To calculate the acceleration, we solve for a:

[tex]\displaystyle a=\frac{F}{m}[/tex]

[tex]\displaystyle a=\frac{1.1}{0.43}[/tex]

[tex]\mathbf{a = 2.56\ m/s^2}[/tex]

An insulating rod is bent into the shape of a quarter-circle having total charge Q distributed uniformly over its length. At the origin, the magnitude of the total electric field due to this charge configuration is E0 and the potential is V0. A second insulating rod is added to the fourth quadrant to complete a semi-circle. This second quarter-circle has charge -Q uniformly distributed. In terms of E0 and V0, determine the total electric field vector and the total potential at the origin due to the semi-circle of charge.

Answers

Answer:

E = - 2*E₀*sinθ*i

V = V = 2*E₀*sinθ /r

Explanation:

First situation: a quarter-circle rod produces at the origin

E₀      and  V₀

We know that    E  =  K *  Q/r      and

E  =  E₀           Q = L*λ           Q = 1/4 * 2*π*r*λ       Q = (1/2)*π*r*λ

where:

r is the radius of the circle which at the same time is the distance between the rod quarter of the circle and the origin.

λ is the longitudinal density of charge, and

k = 1/4*π*ε₀

Then    E₀ =  (1/2)* k*π*λ        and   V₀  = - E₀/Q         V₀  = - E₀/r

E₀  =  E₀ₓ  +  E₀y      E₀ₓ  = E₀*cosθ    E₀y = - E₀*sinθ  

θ the angle between E₀  and the x-axis

Second situation half of a circle ( first quarter +Q and fourth -Q )

In that configuration, the components in the x-axis cancel each other ( by symmetry) and the y-axis components of +Q  and -Q  are to be added then

E = Eₓ   +  Ey     but by inspection we find Eₓ  = 0 ( the components of the        

the electric field produced of the two quarters canceled each other)

and we have to add the two identical y-axis components of the two quarters therefore

E = 2*E₀y

each component of   E₀y = - E₀*sinθ    

Then the new electric field becomes

E = - 2*E₀*sinθ*i

The new V  = - (- 2*E₀*sinθ /r)

V = 2*E₀*sinθ /r

(Note remember that V is a scalar )

Pitch refers to A. how high or low a note is. B. the loudness of a note. C. the length of the note. D. the range of notes in the composition.


This is music by the way.

Answers

Answer:

A

Explanation:

OKAY REAL QUICK A NOTE REPRESENTS THE 12 TONES ON THE CHROMATIC SCALE WHICH IN TURN REPRESENTS THE WHOLE OF SOUND IN ALL MUSIC- EACH NOTE HAS A PITCH THAT REPEATS IN EVERY OCTAVE.

A woman exerts a horizontal force of 3 pounds on a box as she pushes it up a ramp that is 10 feet long and inclined at an angle of 30 degrees above the horizontal. Find the work done on the box.

Answers

Answer: 67 how much candy does nick have

Explanation:

Describe the energy transfers and transformations for a javelin, starting from the point at which an athlete picks up the javelin and ending when the javelin is stuck into the ground after being thrown.

Answers

Explanation:

When the Javelin is at rest on the ground, Potential Energy and Kinetic Energy are zero.  immediately the Athlete picks the javelin up from the ground, there is an increase in the Kinetic Energy this increase continues until the javelin comes to a halt. Potential Energy also increases.

As the Athlete throws javelin, there is a decrease in the Potential Energy, the Kinetic Energy increases simultaneously until the javelin hits the ground.

after which Potential Energy  and Kinetic Energy becomes zero.

When landing from a jump, a basketball player of mass 82 kg has a velocity of 1.2 m/s right before they hit the ground. The player then lands on the floor with their feet and is quickly brought to a stop. If the the floor deforms by 0.025 m while the player lands on it, what was the average force under the player's feet during the landing

Answers

Answer:

2361.6N

Explanation:

Mass of player = 82kg

Velocity = 1.2m/s

Kinetic energy of player:

= 1/2mv²

= 1/2*82*1.2²

= 41x1.44

= 59.04J

Final kinetic energy = 0

Change in kinetic energy

|∆k| = |0-59.04|

= 59.04

Workdone by the feet = fd

d = 0.025

Fd = 59.04

F = 59.04/0.025

= 2361.6N

This is his average force.

write the characteristic of aluminum​

Answers

Answer:

see below

Explanation:

alluminium is,

1.lustrous

2.highly malleable

3.reactive metal

4.some times acts as non metal

5.good conductor

6.obtained from bauxite

7.Atomic number 13 so electrons and protons are 13

8.neurons are 14

9.ductile

10.melting point is very high approximately 660 degree celsius.

Answer:

It has low density, is non-toxic, has a high thermal conductivity, has excellent corrosion resistance and can be easily cast, machined and formed.

Explanation:

Find the range of projectile launched at the angle of 45 with an intial velocity of 25 m/s

Answers

Answer:

10

Explanation:

Given that :

Initial Velocity (u) = 25 m/s

Range can be obtained using the relation :

Range = (u² * sin2θ) / g

g = 10m/s ; θ = 45

Range = [10² * sin2(45)] / 10

Range = [100 * 1] ÷ 10

Range = 10

Young's double slit experiment is one of the quintessential experiments in physics. The availability of low cost lasers in recent years allows us to perform the double slit experiment rather easily in class. Your professor shines a green laser (568 nm) on a double slit with a separation of 0.107 mm. The diffraction pattern shines on the classroom wall 3.5 m away. Calculate the fringe separation between the third order and central fringe.

Answers

Answer:

18.58 mm

Explanation:

Formula for the fringe width is;

β = λL/d

We are given;

λ = 568 nm = 568 × 10^(-9) m

L = 3.5 m

d = 0.107 mm = 0.107 × 10^(-3) mm

β = (568 × 10^(-9) × 3.5)/(0.107 × 10^(-3))

β = 0.01858 m = 18.58 mm


PLEASE HELP ME

1) If a bus travelling at 20 m/s is subject to a steady deceleration of 5 m/s2, how long will it
take to come to rest?

Answers

Answer:

Bus will take 4 seconds before it comes to rest.

Explanation:

Initial Velocity  of bus = u = 20 ms⁻¹

Final Velocity of bus = v = 0 ms⁻¹

Deceleration of bus = a = -5 ms⁻²

Time taken by bus before it comes to rest = t = ?

Using the equation formula

a = (v - u)/t

-5 = (0 - 20) / (t)

t = -20/-5

t = 4 sec

Therefore, Bus will take 4 seconds before it comes to rest.

The spiral spring showed are identical. Each spring has a spring constant K =100N/m determine the total extension caused by the 150N weight

Answers

1 spring k=100

2 springs k =200

f=kx

then k=f/x

200=150/x

x=200/150

x=4/3

Explanation:

need thanks ..................

The total extension caused by the 150N weight is 1.5 m

Data obtained from the question Spring constant (K) = 100 N/mForce (F) = 150 NExtention (e) =?

How to determine the extension

From Hooke's law,

Force (F) = spring constant (K) × extention (e)

F = Ke

150 = 100 × e

Divide both side by 100

e = 150 / 100

e = 1.5 m

Therefore, the total extention caused by the weight is 1.5 m

Learn more about spring constant:

https://brainly.com/question/9199238

What could you do to decrease the rate at which salt dissolves in water?

Add more salt.
Stir the mixture.
Use cold water.
Use hot water.

Answers

Answer:

use hot water

Explanation:

hot water helps dissolve things faster

A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound?
А. The frequency increases and the wavelength decreases.
B. The frequency decreases and the wavelength increases.
C. The frequency stays the same and the wavelength increases.
D.The frequency stays the same and the wavelength decreases.
E. Neither the frequency nor the wavelength is affected.

Answers

Answer:

The frequency stays the same and the wavelength decreases.

Explanation:

When sound wave enters a new medium where sound travels faster, its frequency will remain same because it depends only on the source.

The relation between wavelength and speed is inverse, it means when the speed of sound increases, its wavelength will decrease.

So, the frequency stays the same and the wavelength decreases. Hence, the correct option is (d).

23 POINTS!! will get brainiest

What is the relationship between temperature range and proximity to the coast?

Answers

Answer:I think it’s because both can provide heat and cold

Explanation:

These steps are involved in the production of work by a four-stroke heat engine. Place the steps in the correct order. Piston moves up, compressing gas and causing gas to increase its temperature: Piston moves up, pushing burned gases through exhaust valve: 1 Spark plug fires, causing combustion as gas is still compressed; increase in energy from combustion pushes piston down: Piston moves down, allowing fuel-air mixture to enter intake valve:

Answers

Answer:

correct order 2,4,3,1

Explanation: correct on edge

What happens when someone lets go of the button on an electric doorbell?

The electromagnet gets stronger.

The circuit is broken and the electromagnet turns off.

The current moving through the circuit changes direction.

The metal striker hits the bell.​

Answers

Answer:

The current moving through tha circuit changes direction.

Explanation:

hope this helps

The electromagnet is activated. It causes a buzzer to go off. The hammer strikes the bars which creates sound. When you let go, it will stop making a sound by the circuit stop flowing.

What is electromagnet ?

"Electromagnet, device consisting of a core of magnetic material surrounded by a coil through which an electric current is passed to magnetize the core. An electromagnet is used wherever controllable magnets are required, as in contrivances in which the magnetic flux is to be varied, reversed, or switched on and off."

What is Circuit ?

"A circuit is a complete circular path that electricity flows through. A simple circuit consists of a current source, conductors and a load. The term circuit can be used in a general sense to refer to any fixed path that electricity, data or a signal can travel through."

Know more about electromagnet here

https://brainly.com/question/3427992?

#SPJ2

A ball of clay is thrown at a wall at a velocity of 28.0 m/s. After it hits the wall, it
takes 0.020 s to stop. What is the acceleration of the clay when it hits the wall?

Answers

Answer:

Explanation:

1400 m/s2

The acceleration of the ball when it hits the vertical wall is -1,400 m/s²

The given expression:

velocity of the ball, v = 28 m/s

time of  motion of the ball, t = 0.02 s

To find:

the acceleration of the ball when it hits the vertical wall.

The acceleration of the ball is calculated as follows:

[tex]acceleration = \frac{\Delta velocity}{\Delta time} = \frac{Final \ velocity\ - \ initial \ velocity }{time} \\\\final \ velocity \ of \ the \ ball \ when \ it \ hits \ the \ wall = 0\\\\acceleration = \frac{0 - 28}{0.02} \\\\acceleration = - \ 1,400 \ m/s^2[/tex]

Thus, the acceleration of the ball when it hits the vertical wall is -1,400 m/s²

Learn more here: https://brainly.com/question/14109204

_________ is the distance an object travels per unit of time.
(5 Points)
speed
displacement
velocity
rate

Answers

Explanation:

Speed is the distance an object travel per unit of time

A horse pulls a wagon with 2000N of at constant velocity. What is the friction acting on the wagon?
0N
1000N
1500N
2000N

Answers

Answer:

f = 0 N

Explanation:

It is given that,

A horse pulls a wagon with 2000N of at constant velocity.

We need to find the friction acting on the wagon.

As the wagon is pulled with a constant velocity. If its velocity is constant, it means its acceleration is 0. As a result friction force is 0.

Hence, the correct option is (a).

When two objects collide is the momentum before equal to the momentum after the collision? What happens to the individual carts momentum in terms of momentum before and after collision?

Answers

Answer:

a collision occuring between two objects in an isolated system, the total momentum of the two objects after the collision. That is, the momentum lost by object 1 is equal to the momentum gained by object 2.

thank you.

a 6.5 kg box is pulled across a floor by a horizontal 12.0 N tension force. If there is a 5 N friction exerted on the box, what is its acceleration

Answers

Explanation:

Fnet = 12.0N - 5.0N = 7.0N

a = Fnet/m = 7.0N/6.5kg = 1.07m/s².

A block of wood of length L = 21.0 cm, width w = 9.53 cm, and height h = 5.92 cm is just barely immersed in water by placing a mass m on the top of the block. The density of the wood is rho = 0.390 g/cm^3. The value of m is:______

a. 0.72 kg
b. 1.2 kg
c. 1.6 kg
d. 7.1 kg
e. 0.36 kg

Answers

Answer:

0.462kg

Explanation:

Density = Mass/Volume

Given

Density of the wood = 0.390 g/cm^3

Volume of the wood = Length * Width * Height

Volume = 21 * 9.53 * 5.92

Volume = 1,184.7696cm³

Get the mass m;

mass = density * volume

mass = 0.390 * 1,184.7696

mass = 462.060144g

The mass in kg is 0.462kg

Aner shopping. It took Jacob 18 seconds to push his shopping cart to his car. He was moving at 2 meters per second. His daughter walked beside the cart for one-third of the time it took Jacob to reach his car. How far did Jacob's cart move while his daughter was walking beside Write your answer as a whole number meters​

Answers

Answer:

I am going to answer you just wait a little bit.

which nervous system includes the spinal cord
A. Sympathetic
B. autonomic
C. Central
D. Somatic

Answers

Answer:

the central nervous system

Answer: C. central

Explanation:

when an object (like a ball) falls, some of its _____ energy changes to _____ energy, due to the law of conservation of energy
a.) kinetic, potential
b.) kinetic, motion
c.) potential, kinetic
d.) motion, potential

Answers

Answer:

c ) potential your welcome hehe

True or False: Solids always have a higher density than liquids and gases.

Answers

Answer:

TRUE THE ANSWER IS TRUE

the answer is true. solids always have a higher density than liquids and gases.

:)
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