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 Homework Statement
 Defiance Drake, Space Adventurer, desperately needs to reach a cargo vessel 100m away, or run out of air and die in deep space. For our purposes, there are two relevant directions, the direction Defiance is traveling in (the xdirection, at 1 m/s), and direction of the cargo ship's motion, which is perpendicular to her motion (ydirection, 10 m/s). Defiance uses her jet boots, choosing to accelerate directly in the xdirection at 0.25g (she starts at (x=100,y=0)). If the cargo vessel is 25 m long, and its nose cone starts at x=0,y=0, will Defiance reach the ship or miss? If she misses, how should she have chosen her path (assume she cannot exceed 1 g)?
 Homework Equations

V(t)=Vo+AoT
X(t)=VoT+1/2AoT
0.25g converts into 2.45m/s^2
V(t)=Vo+AoT
1=0+2.45T
T=1/2.45
T=0.4s
X(t)=VoT+1/2AoT
X(t)=100+0+1/2(2.45)(0.4)^2
X(t)=100.196m
I dont know if this is the right methodology or how to move on from here
V(t)=Vo+AoT
1=0+2.45T
T=1/2.45
T=0.4s
X(t)=VoT+1/2AoT
X(t)=100+0+1/2(2.45)(0.4)^2
X(t)=100.196m
I dont know if this is the right methodology or how to move on from here