# Kinematics and graph

A common way of testing kinematics qualitatively is to present you with a graph plotting position vs. The phrase constant velocity indicates a motion with a 0 acceleration. The acceleration of the object during the last 5 seconds can be calculated using the following kinematic equation. The displacement of the object during the entire 10 seconds can also be calculated using kinematic equations. Since these 10 seconds include two distinctly different acceleration intervals, the calculations for each interval must be done separately.

## Kinematic Equations and Graphs

This is shown below. The analysis of this simple motion illustrates the value of these two representations of motion - velocity-time graph and kinematic equations. Each representation can be utilized to extract numerical information about unknown motion quantities for any given motion.

The examples below provide useful opportunity for those requiring additional practice. Check Your Understanding 1.

## Kinematics (velocity & acceleration graphs)

Rennata Gas is driving through town at Eventually Rennata comes to a complete stop. Represent Rennata's accelerated motion by sketching a velocity-time graph. Use the velocity-time graph to determine this distance. Use kinematic equations to calculate the distance that Rennata travels while decelerating.

See Graph and Answer 2. Otto Emissions is driving his car at Otto accelerates at 2. Otto then maintains a constant velocity for Represent the 15 seconds of Otto Emission's motion by sketching a velocity-time graph. Use the graph to determine the distance that Otto traveled during the entire 15 seconds.

Finally, break the motion into its two segments and use kinematic equations to calculate the total distance traveled during the entire 15 seconds. Luke accelerates with a constant downward acceleration of Sketch a velocity-time graph for the first 8 seconds of Luke's motion.

Use kinematic equations to determine the time required for Luke Autbeloe to drop back to the original height of the cliff. Indicate this time on the graph. See Graph and Answer 4.

Chuck Wagon travels with a constant velocity of 0. Chuck then decelerates at. Sketch a velocity-time graph for Chuck Wagon's motion.

## In this Chapter

Use the velocity-time graph to determine the total distance traveled by Chuck Wagon during the 12 minutes of motion.Kinematics and Graphs: Students’ Difﬁculties and CBLs Patricia Hale n a typical course that covers the concepts of func-tions and graphs, the teacher might use a graph to.

A common way of testing kinematics qualitatively is to present you with a graph plotting position vs. time, velocity vs. time, or acceleration vs. time and to ask you questions about the motion of the object represented by the graph.

Kinematic Equations Kinematic Equations and Problem-Solving Kinematic Equations and Free Fall Sample Problems and Solutions Kinematic Equations and Graphs Lesson 4 of this unit at The Physics Classroom focused on the use of velocity-time graphs to describe the motion of objects.

In that Lesson, it. Kinematics and Graphs: Students’ Difﬁculties and CBLs Patricia Hale n a typical course that covers the concepts of func-tions and graphs, the teacher might use a graph to represent the acceleration of a moving object. After drawing a simple graph for an object with constant.

A common way of testing kinematics qualitatively is to present you with a graph plotting position vs. time, velocity vs. time, or acceleration vs. time and to ask you questions about the motion of the object represented by the graph. Kinematic Equations Kinematic Equations and Problem-Solving Kinematic Equations and Free Fall Sample Problems and Solutions Kinematic Equations and Graphs Lesson 4 of this unit at The Physics Classroom focused on the use of velocity-time graphs to describe the motion of .