March 24, 2017

Post a New Question

Posted by on Friday, April 26, 2013 at 1:04am.

An observer is located on the ground 6 kilometers from the point where a space shuttle is launched (vertically). When the shuttle is 8 kilometers high, it is travelling at 500 kilometers per hour. Determine, for that moment, the rate at which the distance between the observer and the shuttle is changing.

  • math - , Friday, April 26, 2013 at 10:55am

    draw a diagram. The distance from the observer to the shuttle when the height is y, is

    d^2 = 6^2 + y^2

    2d dd/dt = 2y dy/dt

    when y=8, d=10 so

    20 dd/dt = 2(8)(500)
    dd/dt = 400 km/hr

Answer This Question

First Name:
School Subject:

Related Questions

More Related Questions

Post a New Question