The equation of a parabola is y = ax2 + bx + c, where a, b, and c are constants. The x- and y-coordinates of a projectile launched from the origin as a function of time are given by x = v0xt and y = v0yt - ½gt2, where v0xand v0y are the components of the initial velocity. (a) Eliminate t from these two equations and show that the path of a projectile is a parabola and has the form y = ax + bx2. (b) What are the values of a, b, and c for the projectile?

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Projectile Motion