Math:Trig.!!!!

posted by .

You (safely) bungee jump from a 200-feet tall bridge in your town. Your distance above the water's surface depends on the time since you jumped. Sketch a reasonable graph.

  • Math:Trig.!!!! -

    at the beginning, till some time a,

    h(t) = 200 - 16t^2

    due to free-fall. When h(t) reaches 200 - max cord extension, the springy characteristics of the cord enter in. If the cord could rebound 100%, the wave would have a constant amplitude.

    for t>a,

    h(t) = b - c*cos(k(t-a))

    which allows for an offset cosine wave, starting at its minimum.

    However, the amplitude dampens exponentially, so the curve for t>a would more likely be something like

    h(t) = b - c*cos(k1(t-a))*e^(-k2*(t-a))

    So, a parabola to start with, then a damped cosine wave.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics - bungee jumping

    In a head dip bungee jump from abridge over a river, the bungee cord is fastened to the jumpers ankles. The jumper then steps off and falls towards the river until the cord becomes taut. At that point, the cord begins to slow the jumper's …
  2. Physics- bungee jump

    A tall bald student (height 2.1 meters and mass 91.0 kg) decides to bungee jump off a bridge 36.7 meters above the river. The bungee cord is 25.3 meters long as measured from the attachment at the bridge to the foot of the jumper. …
  3. College Physics

    6. A tall bald student (height 2.1 meters and mass 93.1 kg) decides to try bungee jumping from a bridge. The bridge is 36.7 meters above the river and the "bungee" is 25.3 meters long as measured from the attachment of the bridge to …
  4. physics

    A 300 lb bungee jumper wants to jump from the top of a 230 ft high bridge and be able to just touch the water below (Part A figure) . Given that the bungee cord has a spring constant of 11.1 lb/ft, what should the bungee cord's relaxed …
  5. Math

    1. You (safely) bungee jump from a 200-feet tall bridge in your town. Your distance above the water's surface depends on the time since you jumped. Sketch a reasonable graph.
  6. Physics

    A bungee jumper (m = 66.00 kg) tied to a 39.00 m cord, leaps off a 69.00 m tall bridge. He falls to 5.00 m above the water before the bungee cord pulls him back up. What size impulse is exerted on the bungee jumper while the cord stretches?
  7. Physics Classical Mechanics

    A bungee jumper jumps (with no initial speed) from a tall bridge attached to a light elastic cord (bungee cord) of unstretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from hitting …
  8. science

    A bungee jumper jumps (with no initial speed) from a tall bridge attached to a light elastic cord (bungee cord) of unstretched length L. The cord first straightens and then extends as the jumper falls. This prevents her from hitting …
  9. Math

    A bungee jumper falls from a bridge 300 feet above ground. Her height above ground after t seconds is given by the equation h=16t^2+300 where h is the height of the jumper in feet and t is the time in seconds after she jumps. Approximately …
  10. physics

    A bungee jumper of mass 75 kg uses a bungee cord with a relaxedlength of 50 m and jumps from a bridge that is 170 m above the ground. What elastic force constant is necessary for the bungee cord in order for him to jump safely. I have …

More Similar Questions