A projectile is fired horizontally with a velocity u so that it's trajectory of a parabola also often a expression for it time of flight and horizontal range
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Parabola Equation
The general equation of a parabola is: y = a(x-h)2 + k or x = a(y-k)2 +h, where (h,k) denotes the vertex. The standard equation of a regular parabola is y2 = 4ax.
Explanation:
How to find a parabola's equation using its Vertex Form
Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola's equation in the form: y=a(x−h)2+k. ...
Step 2: find the value of the coefficient a by substituting the coordinates of point P into the equation written in step 1 and solving for a.
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