Which of the following ideas is true about projectile motion with no air drag?

Question

BlackTom AI · Accepted Answer

The question asks about projectile motion in the absence of air drag, so we rely on the standard decomposition of motion into horizontal and vertical components.
First, note that with no air resistance, the horizontal motion is governed by constant velocity, since there is no horizontal force acting on the particle after launch. Therefore, the horizontal position changes linearly with time, independent of what happens vertically.
Next, consider the vertical motion: it is driven solely by gravity, causing a constant vertical acceleration downward. This vertical motion proceeds independently of the horizontal motion, so the vertical position depends on time through a quadratic relation due to acceleration.
Because the horizontal and vertical motions are governed by different, uncoupled equations (constant velocity in x and constant acceleration in y), the two components do not influence each other except through the initial launch conditions.
In light of these principles, the statement under consideration—'The horizontal motion is independent of the vertical motion'—accurately reflects the core idea of projectile motion without drag.
Regarding the empty set of answer options provided: since no alternatives are listed to compare against, there is no additional reasoning to contrast; the stated true principle remains the fundamental takeaway for such a system. If any other options were present, we would evaluate each for whether it correctly reflects the separation of horizontal and vertical dynamics, or whether it incorrectly implies coupling or introduces extraneous factors.

SPHY001 Practice Quiz - Unit 03 | LA043

Which of the following ideas is true about projectile motion with no air drag?

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