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# When velocity is changing what is happening to the slope on a position versus time graph?

Updated: 6/20/2024

Wiki User

13y ago

That slope is the 'speed' of the motion. If the slope is changing, then the speed

is changing. That's 'accelerated' motion.

(It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated'

motion. 'Acceleration' does NOT mean 'speeding up'.)

Wiki User

10y ago

2mo ago

When velocity is changing, the slope of the position versus time graph represents the velocity at that particular moment. The slope becomes steeper when velocity is increasing and shallower when velocity is decreasing. A horizontal line indicates zero velocity.

Wiki User

13y ago

The slope of the position/time graph is the magnitude of velocity, i.e. speed.

It doesn't tell you anything about the direction of velocity. If the direction of

velocity is changing, the slope of the graph doesn't necessarily change.

If the magnitude of velocity (speed) changes, then the slope of the graph changes.

If speeding up, the slope of the graph increases, and the graph curves upward.

If slowing down, the slope of the graph decreases, and the graph curves downward.

Wiki User

12y ago

The slope of a position/time graph is the speed (magnitude of velocity).

If the graph's slope is changing, that means the speed is changing, and

that would be accelerated motion.