A rocket is placed a known distance from a target, and travels towards to target at a constant velocity V. The rocket never loses sight of the target. Wind blows strictly upwards with a constant wind speed W. Using differential equations, model the trajectory that the rocket makes while traveling towards the target. (Assume rocket mass is constant, air resistance, and other factor are constant; the ONLY FACTORS acting on the rocket are its speed and the wind speed.

ROCKET MOTION PROBLEM A ROCKET IS PLACED A DISTANCE "L FROM A TARGET. THE ROCKET'S TIP IS ALWAYS POINTING TOWARDS THE TARGET WITH A CONSTANT VELOCITY V. THE HIND ALSO BLOWS UPWARD WITH A CONSTANT WIND SPEED, BUT SINCE V > W, THE ROCKET WILL REACH THE TARGET . GIVEN ANY VALVES LIKE L = 500km, V= 400 km/ hr, W = 10km/hr, Is IT POSSIBLE TO OBTAIN THE TRAJECTORY THE ROCKET MAKES WHILE TRAVELLING TOWARDS THE TARGET ? W - wind speed V Target Rocket