Question

A missile's trajectory takes it to a maximum altitude of 1300Km.
If its launch speed is 5.9 Km/s, how fast is it moving at the peak of its trajectory?
answer is in Km

Answer 1

Odd missile. Most missiles launch at zero velocity, then internal chemical energy accelerates the missile for some time.

Here, it appears, there is no fuel in the missile.

KEatpeak+PEatpeak=KE at launch

1/2 mv^2+mgh=1/2 m 5900^2
solve for v (in m/s), then convert to km/s