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A ball is thrown horizontally from the top of a cliff with initial speed v_{0} (at t = 0). At any moment, its direction of motion makes an angle θ to the horizontal. Derive a formula for θ as a function of time, t, as the ball follows a projectile path.

Projectile Motion: Horizontal & Negative Launch

Projectile Motion: Horizontal & Negative Launch

Projectile Motion: Horizontal & Negative Launch

Projectile Motion: Horizontal & Negative Launch

Projectile Motion: Horizontal & Negative Launch