Math(differential equations)

posted by .

An 8 lb weight stretches a spring 8 feet. The weight is moving through a surrounding medium that has a damping effect equal to the instantaneous velocity of the weight. Initially the weight is displaced 4 feet below the equilibrium position with a downward velocity of 2 ft/sec. Find the maximum vertical displacement.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. differential equation

    a four -pound weight stretches a spring 8 inches from its natural lenght . the weight is pulled downward an additional 6 inches and released with an initial upward velocity of 8 feet per second . find a formula for the position of …
  2. Physics

    A weight stretches one spring 3 in. and a second weight stretches another spring 9 in. If both weights are simultaneously pulled down 1 in. below their respective equilibrium positions and then released, find the first time after t …
  3. calculus

    Question 1: Experimentally it is found that a 6 kg weight stretches a certain spring 6 cm. If the weight is pulled 4 cm below the equilibrium position and released: a. Set up the differential equation and associated conditions describing …
  4. Math

    A plumber charges $45 for a service call, plus $70/h for her time. a. Find the cost of a two hour service call. b. How long was a services call that cost $150?
  5. Math

    The distance a spring stretches is directly proportional to the force applied to the spring. A 4-lb weight stretches a spring 20 in. A 16-lb weight stretches a spring 26 in. Find the length of the spring with no weight attached.
  6. Physics

    as the weight held by a spring increases, the length of the spring increases proportionally. Suppose a 2-lb weight stretches a spring to 15 in., and a 12-lb weight stretches the same spring to 20 in. What is the length of the spring …
  7. Math

    as the weight held by a spring increases, the length of the spring increase proportionally. suppose a 2-lb weight stretches a spring to 15 in., and a 12-lb weight stretches the same spring to 20 in. what is the length of the spring …
  8. College Algebra

    Hooke's Law states that the distance a spring stretches is directly proportional to the weight attached to the spring. If a 30-pound weight attached to the spring stretches the spring 8 inches, find how much weight is needed to stretch …
  9. Math

    The height (in feet) of a small weight oscillating at the end of a spring is h(t) = 0.5 cos(2t) where t is in seconds, 0 ≤ t ≤ 5. (This is calculus. Use radians!) (a)Calculate the weight’s average velocity over the time …
  10. math

    Experimentally it is found that a 6 kg weight stretches a certain spring 6 cm. If the weight is pulled 4 cm below the equilibrium position and released: a. Set up the differential equation and associated conditions describing the motion. …

More Similar Questions