# Logarithmic Function

A spacecraft is approaching a space station that is orbiting Earth. When the craft is 1000 km from the space station, reverse thrusters must be applied to begin braking. The time, t, in hours, required to reach a distance, d, in km, from the space station while the thrusters are being fired can be modelled by t=log_0.5(d/1000). The docking sequence can be initalized once the craft is within 10 km of the station's docking bay.

a) how long after the reverse thrusters are first fired should docking procedures begin.

I don't need help with this one.

b) What are the domain and range of this function and what do these represent?

I need help with this.
I am not sure if my graph of this function looks right because I don't have graphing software or a calculator. If someone could show me a picture of it that, I would appreciate it. But otherwise, could you just explain to me why the domain and range are what they are.

The domain is supposed to be 0<d< or = 1000
but why isn't it 10<d< or = 1000
Doesnt it say in the question that "the docking sequence can be initialized once the craft is within 10 km of the station's docking bay", hence the 10 and not 0 in the domain?????

1. 👍
2. 👎
3. 👁
1. You continue to approach the station and brake after your sequence begins at 10 km. The craft does not stop until d = 0

1. 👍
2. 👎

## Similar Questions

1. ### math

the international space station orbits 350 km above earth's surface. earth's radius is about 6370 km.use the pythagorean theorem to find the distance from the space station to earth's horizon.

2. ### Science check answer quick!

I really do not understand Number 7 Which of these does Newton's law of universal gravitation imply? (Points : 1) The force of gravity between two objects is inversely proportional to the product of the two masses.

3. ### Algebra URGENT! Conic sections

A spacecraft is in a circular orbit 150 kilometers above Earth. Once it attains the velocity needed to escape the Earth's gravity, the spacecraft will follow a parabolic path with the center of Earth as focus. Suppose the

4. ### Physics

You are explaining why astronauts feel weightless while orbiting in the space shuttle. Your friends respond that they thought gravity was just a lot weaker up there. Convince them and yourself that it isn't so by calculating the

1. ### Physics

The De-orbit Burn The Shuttle must reduce its velocity at a pre-calculated point in its orbit in order to return to Earth. In order to reduce the velocity and change the orbit of the Shuttle, a maneuver called the de-orbit burn is

2. ### physics

If the average speed of an orbiting space shuttle is 19600 mi/h, determine the time required for it to circle the Earth. Make sure you consider the fact that the shuttle is orbiting about 200 mi above the Earth's surface, and

3. ### trig

A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.

4. ### physics

The Earth’s radius is about 6380 km. The space shuttle is orbiting about 275.0 km above Earth’s surface. If the average speed of the space shuttle is 23500 km/h, find the time required for it to circle Earth.

1. ### Physics 1

An astronaut in her space suit has a total mass of m1 = 76.9 kg, including suit and oxygen tank. Her tether line loses its attachment to her spacecraft while she's on a spacewalk. Initially at rest with respect to her spacecraft,

2. ### geometry

The Hubble Space Telescope is orbiting Earth 600 km above Earth's surface. Earth's radius is about 6370 km. Use the Pythagorean Theorem to find he distance a from the telescope to Earth's horizon. Round your answer to the nearest