Presentation on theme: "Drawing Velocity Time Graphs from Position Time Graphs"— Presentation transcript:
1 Drawing Velocity Time Graphs from Position Time Graphs Uniform and Non-Uniform Motion
2 Think about…Sketch a position-time graph of each object listed below. Describe its slope as positive or negative, and as constant, increasing, or decreasing.A) a stone at restB) a jogger moving steadily to the rightC) a bicycle moving to the left and slowing downD) a rocket moving up at an increasing speedE) a stone falling freely with increasing speedF) a parachutist drifting down at a steady speed
3 Non-Uniform Motion An object does not always move at a constant speed. You may speed up or slow down.Non-uniform motion, when graphed, appears as a curve not a straight line.
4 Instantaneous Velocity When you are driving on the highway and you look down at your speedometer, you are traveling at + 55 km/h. At that instant in time, + 55 km/h is your instantaneous velocity.For uniform motion, your instantaneous velocity is the same as you average velocity.For non-uniform motion, your instantaneous velocity changes.
5 Finding Instantaneous Velocity from a Graph (Uniform Motion) To find instantaneous velocity on a uniform position-time graph, just find the average velocity for the given segment.
6 Finding Instantaneous Velocity from a Graph (Non-Uniform Motion) To find instantaneous velocity on a non-uniform position-time graph, draw a line that is tangent to the curve at that point.The slope is the instantaneous velocity (take the two points on the tangent from each side of the point).