A rocket is fired horizontally from a plane Its horizontal distance x and vertical distance y from the point at which it was fired are given by x v 0 t and y 1 2 gt 2 , where v 0 is the initial velocity of the rocket, t is the time, and g is the acceleration due to gravity Express y as a function of x and show that it is the equation of a parabola

Question: A rocket is fired horizontally from a plane. Its horizontal distance x and vertical distance y from the point at which it was fired are

A rocket is fired horizontally from a plane. Its horizontal distance x and vertical distance y from the point at which it was fired are given by x = v₀t and y = 1/2 gt², where v₀ is the initial velocity of the rocket, t is the time, and g is the acceleration due to gravity. Express y as a function of x and show that it is the equation of a parabola.

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