Physics

Physics

Problem

What does a positive slope on a position–time (x–t) graph indicate about the motion of a particle? a) The particle has a constant positive acceleration. b) The particle is moving with negative velocity. c) The particle is moving with positive velocity. d) The particle’s speed is increasing with time.
Intuitive explanation

A positive slope on an xx–tt graph tells you the particle is moving in the positive direction—its position is increasing over time. The steeper that slope, the faster it's moving, since slope represents the rate of change of position, which is velocity. Think of it as: if the line tilts upward to the right, the object is marching forward.

Intuitive explanation

A positive slope on an xx–tt graph tells you the particle is moving in the positive direction—its position is increasing over time. The steeper that slope, the faster it's moving, since slope represents the rate of change of position, which is velocity. Think of it as: if the line tilts upward to the right, the object is marching forward.

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