Find the minimum initial speed of a projectile in order for it to reach a height of 2039 km above the surface of the earth.

1 answer

2039 km = 2039000
NOTE: Projectile motion signifies an x and y displacement, but let us assume this pertains to the freefall laws of motion.
Top of the trajectory: Vf = 0

Vf^2 = Vo^2 + 2gy

0 = Vo^2 + 2(-9.81 m/s^2)(2039000 m)
V0^2 = 4.00052*10^7 m^2/s^2
Vo = 6324.97 m/s