Phy1.1.1
Describe graphically the velocity of an object as the rate of change of position; distinguish between constant, average, and instantaneous velocity.
analyze position versus time graphs of an object moving with a constant velocity:
recognize a linear relationship provided be a best fit line where velocity is the slop of the line.
apply the slope-intercept equation, y = mx + b, to derive the relationship for final position.
Analyze position versus time graphs of an object moving with constant acceleration:
compare the graph of an object moving at constant velocity;
recognize the shape of the curve as parabolic indicating that position is proportional to the square of the time;
relate the concept of instantaneous velocity to the slope of a tangent line.
Describe graphically the acceleration of an object as the rate of change of velocity.
Analyze velocity versus time graphs of an object moving with a constant acceleration;
recognize the slop of the line as the acceleration;
recognize that the displacement during any time period is equal to the area under the graph;
develop the relationships for objects moving at constant acceleration (such as rolling down an inclined plane or falling toward the Earth);
Analyze position vs. time, velocity vs. time, and acceleration vs. time graphs of objects in motion; identify the motion as constant velocity or accelerating based on the shape of the graph; interpret the graph in order to quantitatively describe the motion.