Graph Relationships Semester 1
The slope of the momentum vs. time graph is equal to
Force
The area under the curve of the net external force vs. time graph is equal to
Impulse (change in momentum)
The slope of the velocity vs. time graph is equal to
acceleration
The net force vs. time graph is the same shape as the
acceleration vs. time graph
The area under the velocity vs. time curve is equal to the
change in position (displacement)
The area under the acceleration vs. time graph is equal to the
change in velocity
The total mechanical energy graph is
constant
The total mechanical energy graph represents the sum of the
kinetic energy vs. time graph and the potential energy vs. time graph
Net force is equal to
mass x acceleration
Potential energy is equal to
mass x gravity x height (mgy)
Momentum is equal to
mass x velocity
The potential energy vs. time graph is the same shape as the
position vs. time graph
The slope of the position vs. time graph is equal to
velocity
The gram of momentum vs. time the same shape as the
velocity vs. time graph
The kinetic energy vs. time graph is related to the
velocity vs. time graph
Kinetic energy is equal to
1/2mv²