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Question
- ignoring air resistance, the shape of a projectiles trajectory is all or part of which geometric shape?
cone
square
parabola
circle
clear all
In projectile motion (ignoring air resistance), the horizontal motion is uniform (constant velocity) and vertical motion is uniformly accelerated (due to gravity). The equations of motion for horizontal (\(x = v_{0x}t\)) and vertical (\(y = v_{0y}t - \frac{1}{2}gt^2\)) can be combined to eliminate time \(t\), resulting in a quadratic equation in \(x\) and \(y\), which represents a parabola. A cone, square, or circle do not match the kinematic behavior of a projectile.
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Parabola (the option with "Parabola" text)