Motion in one dimension is all about tracking how objects...
AP Physics 1115 views·Updated Aug 2, 2026·2 pagesDescribe
priscilla@cilla
1
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Describing Motion
When tracking motion along a single dimension, we use sign conventions to describe direction. For horizontal motion, positive velocity (Vx > 0) means moving right, while negative velocity (Vx < 0) means moving left. Similarly, for vertical motion, positive velocity (Vy > 0) means moving up, while negative velocity (Vy < 0) means moving down.
Position graphs show us where an object is at different times. The slope of a position graph tells us the velocity. Steeper slopes mean faster motion, while flatter slopes indicate slower motion. When a slope increases (gets steeper), the object is speeding up; when it decreases (gets flatter), the object is slowing down.
To interpret position graphs, follow three steps: first, determine position at a specific time by reading the y-axis; second, calculate velocity by finding the slope (Δx/Δt); third, determine direction of motion from the sign of the slope (positive = right/up, negative = left/down).
💡 Remember: When analyzing motion graphs, the shape matters! A straight line means constant velocity, while curves indicate changing speeds.
2
of 2
Uniform Motion and Instantaneous Velocity
For uniform motion (constant velocity), we can use three key equations: Vx = (xf - xi)/(tf - ti) to find velocity, xf = xi + VxΔt to calculate final position, and Δx = VxΔt to determine displacement. These formulas help you predict where an object will be after moving at a constant speed.
Instantaneous velocity tells us how fast something is moving at a specific moment in time. On a position graph, it's the slope of the tangent line at that point. When the slope is zero (a horizontal tangent), the velocity is zero—meaning the object has momentarily stopped.
When looking at velocity graphs instead of position graphs, the displacement equals the area under the velocity curve. For example, if velocity increases steadily (forming a triangle), the displacement equals the area of that triangle.
🔍 Quick Tip: In a position vs. time graph, curves mean acceleration is happening. The steeper the curve, the greater the acceleration!
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AP Physics 1115 views·Updated Aug 2, 2026·2 pagesDescribe
priscilla@cilla
Motion in one dimension is all about tracking how objects move along a straight line. Understanding how to interpret position graphs and calculate velocities will help you solve physics problems and predict object movements.
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of 2
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Describing Motion
When tracking motion along a single dimension, we use sign conventions to describe direction. For horizontal motion, positive velocity (Vx > 0) means moving right, while negative velocity (Vx < 0) means moving left. Similarly, for vertical motion, positive velocity (Vy > 0) means moving up, while negative velocity (Vy < 0) means moving down.
Position graphs show us where an object is at different times. The slope of a position graph tells us the velocity. Steeper slopes mean faster motion, while flatter slopes indicate slower motion. When a slope increases (gets steeper), the object is speeding up; when it decreases (gets flatter), the object is slowing down.
To interpret position graphs, follow three steps: first, determine position at a specific time by reading the y-axis; second, calculate velocity by finding the slope (Δx/Δt); third, determine direction of motion from the sign of the slope (positive = right/up, negative = left/down).
💡 Remember: When analyzing motion graphs, the shape matters! A straight line means constant velocity, while curves indicate changing speeds.
2
of 2Sign up to see the content. It's free!
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Uniform Motion and Instantaneous Velocity
For uniform motion (constant velocity), we can use three key equations: Vx = (xf - xi)/(tf - ti) to find velocity, xf = xi + VxΔt to calculate final position, and Δx = VxΔt to determine displacement. These formulas help you predict where an object will be after moving at a constant speed.
Instantaneous velocity tells us how fast something is moving at a specific moment in time. On a position graph, it's the slope of the tangent line at that point. When the slope is zero (a horizontal tangent), the velocity is zero—meaning the object has momentarily stopped.
When looking at velocity graphs instead of position graphs, the displacement equals the area under the velocity curve. For example, if velocity increases steadily (forming a triangle), the displacement equals the area of that triangle.
🔍 Quick Tip: In a position vs. time graph, curves mean acceleration is happening. The steeper the curve, the greater the acceleration!
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