Diameter 139,820 km Density 1326 kg/m3 Gravity 24.79 m/s2 Mass (1024kg) : 1898 Escape Velocity (km/s):59.5 When a meteorite strikes the surface of Jupiter , the debris follows parabolic trajectories as it falls back to the surface. The size of the debris field surrounding the crater can be estimated by solving a quadratic equation to determine the properties of the average trajectory of the debris. The equation that approximates the average particle trajectory is given by: H(x)=x−(g/2V2)x2 H(x) is a function defined where x is your independent variable, representing Distance in meters from the impact site, and H is your dependent variable, indicating Height in meters, so after a particle has moved x meters from the impact, it would be H meters above the surface V represents the velocity (m/s) of the meteorite impacting the Planetary Body g represents the gravity on your Planetary Body, written in m/s2. How many solutions do you receive? What do the two solutions mean with respect to your Planetary Body? How might you find out how much distance your particle has traveled when your average particle reaches the maximum height of its journey, and what is that distance (in meters) and what is the height (in meters)? What is the blast radius on your Planetary Body?

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  • Diameter 139,820 km
  • Density 1326 kg/m3
  • Gravity 24.79 m/s2
  • Mass (1024kg) : 1898
  • Escape Velocity (km/s):59.5
  • When a meteorite strikes the surface of Jupiter , the debris follows parabolic trajectories as it falls back to the surface. The size of the debris field surrounding the crater can be estimated by solving a quadratic equation to determine the properties of the average trajectory of the debris.

    The equation that approximates the average particle trajectory is given by:

    H(x)=x−(g/2V2)x2

  • H(x) is a function defined where x is your independent variable, representing Distance in meters from the impact site, and H is your dependent variable, indicating Height in meters, so after a particle has moved x meters from the impact, it would be H meters above the surface
  • V represents the velocity (m/s) of the meteorite impacting the Planetary Body
  • g represents the gravity on your Planetary Body, written in m/s2. How many solutions do you receive? What do the two solutions mean with respect to your Planetary Body? How might you find out how much distance your particle has traveled when your average particle reaches the maximum height of its journey, and what is that distance (in meters) and what is the height (in meters)? What is the blast radius on your Planetary Body?
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