EasyCurves in space

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §12.2 Plane Motion: Projectiles and Cycloids, #5 · Multivariable Calculus · Curves in space

(a) Eliminate … from … to find the … equation of the…

(a) Eliminate $t$ from $x = t, y = t - \frac{1}{2} t^{2}$ to find the $x y$ equation of the path. At what $x$ is $y = 0$ ?
(b) Do the same for any $v_{0}$ and $α$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §12.2 Plane Motion: Projectiles and Cycloids, #5

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