Logarithmic Function

posted by .

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?????

  • Logarithmic Function -

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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    A team is chosen to design an orbiting space station that is shaped like a wheel 5o meters in diameter with is mass of 4*10^5 kg contained in the rim portion of the wheel. The space station will rotate at a rate such that a person …
  2. Physics

    A space station is shaped like a ring and rotates to simulate gravity. If the radius of the space station is 120 m, at what frequency must it rotate so that it simulates Earth's gravity?
  3. Science

    video clips from the International Space Station, the astronauts are seen floating around as if there is no force of gravity holding them to the floor. The truth is that the space station is orbiting Earth at a height of only about …
  4. Physics

    I have a question about the International Space Station-Its been orbiting earth at 350km-If the radius of the earth is 6,370 km, what is the period of orbit for the Space Station?
  5. Physics-Please help

    I have a question about the International Space Station-Its been orbiting earth at 350km-If the radius of the earth is 6,370 km, what is the period of orbit for the Space Station?
  6. physics

    Marks: 2 The time taken by the space craft moving at a speed equal to half the velocity of light to go from star A to star B is 2 years as calculated at the Earth station. Which of the following is correct for the time measured by …
  7. physics

    Marks: 2 The time taken by the space craft moving at a speed equal to half the velocity of light to go from star A to star B is 2 years as calculated at the Earth station. Which of the following is correct for the time measured by …
  8. Physics

    You have been sent in a small spacecraft to rendezvous with a space station that is in a low circular Earth orbit, say, with a radius of 6,720 km, approximately that of the orbit of the International Space Station. Due to mishandling …
  9. Science/Physics

    An astronaut is about 20 m from her space station when the rocket thrusters run out of fuel. If she is carrying a few tools and can remove the rocket thruster, what should she do to get back to the space station?
  10. Science

    Karen is studying types of spacecraft. Which of these spacecraft can people use to travel to and from orbits close to Earth?

More Similar Questions