A boat sails along the shore. To an observer, the boat appears to move at a speed of 11 m/s, and a man on the boat walking forward appears to have a speed of 12.4 m/s. How long does it take the man to move 6 m relative to the boat?

Answers

Answer 1

Answer:

You first subtract the speed at which the man is moving (11 m/s) from the rate the boat is moving (12.4 m/s). Which equals 1.4, then divide it by 6 meters, as the man is moving relative to the boat.

It therefore equals 4.29 s

Answer 2

Answer:

Answer:

4.29 s

Explanation:

Apex

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What fundamental force is responsible for the settling of Earth's layers?

Answers

Answer: gravity

Explanation: Despite being the weakest force, gravity works across infinite distances, making it responsible for the formation of the universe's structure.

Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time. At a certain instant of time, the sides of the cube are 7 in. long and increasing at the rate of 0.2 in./s. How fast is the volume of the cube changing (in cu in/s) at that instant of time?

Answers

The volume of the cube is changing at the rate of 29.4 in³/s.

Time derivative:

The rate of change of the sides of the cube is 0.2 in/s, which can be mathematically represented as :

$(dx)/(dt)=0.2 \;in/s$

Now the volume of the cube is given by:

V = x³

If we take the time derivative of the above equation then it gives the rate of change of volume with time, so:

$(dV)/(dt)= (d)/(dt)x^3\n\n (dV)/(dt)= 3x^2(dx)/(dt)$

At the instant x = 7 in, the rate of change of volume will be:

$(dV)/(dt)= 3*7^2*0.2\;in^3/s\n\n(dV)/(dt)=29.4\;in^3/s$

So the volume is changing at 29.4 cubic inches per second.

Learn more about differential equation:

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Answer:

Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.

Explanation:

Formula

$(dx^n)/(dx) =nx^(n-1)$

Cube :

The volume of a cube is = $side^3$

The side of length is x in.

Then volume of the cube is (V) = $x^3$

∴ V = $x^3$

Differentiate with respect to t

$(d)/(dt)(V)=(d)/(dt) (x^3)$

$\Rightarrow (dV)/(dt) =3x^2(dx)/(dt)$ ....(1)

Given that the side of the cube is increasing at the rate of 0.2 in/s.

i.e $(dx)/(dt) = 0.2$ in/s.

And the sides of the cube are 7 in i.e x= 7 in

Putting $(dx)/(dt) = 0.2$ and x= 7 in equation (1)

$\therefore (dV)/(dt) =3 * 7^2 * 0.2$ cube in./s

=29.4 cube in./s

Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.

The energy is water but i wanf to know how does it affect the enviorment?

Answers

It affects the environment because more animals and plants will grow. Down side is if there are bugs or insects that need water to live, if there's more water than more bugs. If bugs also feed on plants there could be an over population.

The index of refraction of a material medium must be less than 1 true or flase

Answers

That statement is flase. The index of refraction
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Which of the following happens in a heat pump?a. the compressor increases the pressure and temperature pf the refrigerant

b. the compressor blows cold refrigerant into the room

c none of the above

Answers

option c. none of the above

The heat pump is like an air conditioning unit. There is an air compressor inside it,the function is to convert power (using electric, diesel, gasoline) into potential energy stored in pressurized air (compressed air).By any means and methods, the prs

A bottle lying on the windowsill falls off and takes 4.95 seconds to reach the ground. The distance from the windowsill to the ground is 120.00 meters. Find the time the bottle would take to land if it were to fall the same distance on the moon instead of Earth.

Answers

The time of the bottle would take to land if it were to fall the same distance on the moon instead of Earth is 12.12 seconds.

To find the Time, the given values are,

A bottle lying on the windowsill fall = 4.95 seconds

The distance of the object to the ground = 120 meters

What is the distance of the object?

The distance d an object falls under the influence of gravity is determined by the equation

D = (1/2) (g) (t²)

where,

D - Distance

g - acceleration of gravity

t²- square of the falling time

In the equation,

Multiply each side by 2 : 2 D = gt²

Divide each side by ' g ' : 2 D/g = t²

Square root each side: t = √ (2D/g)

Gravity on the surface of the moon is roughly 1/6 the value

of gravity on the surface of the Earth.

So we expect ' t ' to increase by √6 = 2.45 times.

It would take the same bottle (2.45 x 4.95) = 12.12 seconds

to roll off the same window sill and fall 120 meters down to the surface of the Earth.

Thus, the time of the bottle would take to land if it were to fall the same distance on the moon instead of Earth is 12.12 seconds.

Learn more about object fall due to the gravity,

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The distance an object falls from rest through gravity is

   D = (1/2) (g) (t²)

Distance = (1/2 acceleration of gravity) x (square of the falling time)

We want to see how the time will be affected
if ' D ' doesn't change but ' g ' does.
So I'm going to start by rearranging the equation
to solve for ' t '.

D = (1/2) (g) (t²)

Multiply each side by 2 :    2 D =      g t²

Divide each side by ' g ' : 2 D/g = t²

Square root each side: t = √ (2D/g)

Looking at the equation now, we can see what happens
to ' t ' when only ' g ' changes:

-- ' g ' is in the denominator; so bigger 'g' ==> shorter 't'
         and smaller 'g' ==> longer 't' .

-- They don't change by the same factor, because 1/g is inside
the square root. So 't' changes the same amount as √1/g does.

Gravity on the surface of the moon is roughly 1/6 the value
of gravity on the surface of the Earth.

So we expect ' t ' to increase by √6 = 2.45 times.

It would take the same bottle (2.45 x 4.95) = 12.12 seconds
to roll off the same window sill and fall 120 meters down to the
surface of the Moon.

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