# Maximum altitude of a rocket

## 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

Related Introductory Physics Homework Help News on Phys.org
rock.freak667
Homework Helper
Try equating KE of rocket = PE of rocket above the earth's surface.

CAF123
Gold Member
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 $h$ above its surface.