Maximum altitude of a rocket

  • #1

Homework Statement



A rocket of mass 1.5 x 10^6 kg is launched upward from the surface of the Earth (mass ME = 5.97 x 10^24 kg, radius RE = 6.38 x 10^6 m) with a speed of 0.5 x 10^4 m/s. The rocket will reach a maximum altitude above the surface of the Earth of


Homework Equations


I thought I can solve it with the basic kinematic equations
v^2=v0^2+2*a*delta(x)

The Attempt at a Solution


the right answer is 6.061*10^6m (according to the online quiz)
but I can't reach that conclusion using the equation

I'm not using the earth's radius or mass

enlighten me plz
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
Try equating KE of rocket = PE of rocket above the earth's surface.
 
  • #3
CAF123
Gold Member
2,914
88
You cannot assume a constant acceleration here. Equate the kinetic energy of the rocket at the surface of the earth with it's potential energy at a height [itex] h [/itex] above its surface.
 

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