If you are only given the velocity of the particle, how can you determine the ra

Question

If you are only given the velocity of the particle, how can you determine the range of the possible heights? My example I've been trying to work on is a plane with a velocity of 150 knots that will drop a relief package. I have the variables h (height), theta, and velocity and I need to find the possible values that h could be. I have already calculated 150 knots to be 253 ft/s because I want my answer to be in feet, but from there I'm completely lost. How do I approach this? I don't know how to break the problem up into vertical and horizontal components if I barely have any information. 

Explanation / Answer

if we disregard drag, we get:

x=x0+v0xt+0.5axt2

y=y0+v0yt+0.5ayt2

where x0=0

y0=h

v0x=v

v0y=0

(in case there is no angle of release. if there is (we'll call it ) then:

v0x=v0cos

v0y=v0sin)

ax=0

ay=g

so we get:

x=v0cost

y=h+v0sint-0.5gt2

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