Two astronauts are 2.30 m apart in their spaceship. One speaks to the other. The conversation is transmitted to earth via electromagnetic waves. The time it takes for sound waves to travel at 343 m/s through the air between the astronauts equals the time it takes for the electromagnetic waves to travel to the earth. How far away from the earth is the spaceship

d = 2,011,661.81 m

The distance of the spaceship from the earth is d = 2,011,661.81 m

Explanation:

Let t1 represent the time taken for sound to travel between the astronaut and t2 the the time taken for electromagnetic waves to travel from the spaceship to earth.

Given;

t1 = t2

t1 = distance apart/speed of sound in air

t1 = 2.30/343 = 0.0067055 seconds

t2 = t1 = 0.0067055 seconds

Speed of electromagnetic waves v2 = 3.0 × 10^8 m/s

Distance of the spaceship from the earth is d;

d = speed v2 × time t2

d = 3.0 × 10^8 m/s × 0.0067055 s

d = 2,011,661.81 m

The distance of the spaceship from the earth is d = 2,011,661.81 m

waste

explanation:

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .