# Mechanics: 1-Dimensional Kinematics

We have 23 ready-to-use problem sets on the topic of 1-Dimensional Kinematics. The problems focus on the use of kinematic graphs and kinematic equations to analyze motion scenarios and determine values of displacement, velocity, acceleration, and time.

Click a link to open a publicly-available problem set.  If you are a Task Tracker student, open the assignment using the link on the Task Tracker assignment board.

Problem Set K1: Distance versus Displacement
Distinguish between and calculate the quantities distance and displacement for multi-stage (back-and-forth) motions. Includes 6 problems.

Problem Set K2: Distance-Speed-Time 1
Use the vave = d/t equation to solve straight-forward problems for average speed, distance, or time. Includes 8 problems.

Problem Set K3: Distance-Speed-Time 2
Use the vave = d/t equation to solve problems for average speed, distance, or time. Some problems may require unit conversions or multi-stage motions. Includes 6 problems.

Problem Set K4: Distance-Speed-Time 3
Use the vave = d/t equation to solve problems for average speed, distance, or time. Problems are more complex and will require unit conversions, good visualization skills, critical thinking and analysis. Includes 7 problems.

Problem Set K5: Distance-Speed-Time:  Red Car vs. Green Car
Use the vave = d/t equation and strong mathematical skills to solve a series of problems involving two objects. Includes 6 complex problems.

Problem Set K6: Acceleration 1
Use the aave = ∆v/∆t equation to solve straight-forward problems involving a calculation of acceleration. Includes 6 problems.

Problem Set K7: Acceleration 2
Use the aave = ∆v/∆t equation to solve less-than-routine problems. Includes 7 problems.

Problem Set K8: Position-Time Graphs 1
Use slope calculations to determine the speed or velocity of an object at a specified time. Includes 8 problems.

Problem Set K9: Position-Time Graphs 2
Analyze a position-time graph of a multi-stage motion in order to determine distances, displacements, speeds, and velocities. Includes 4 multi-part problems (20 parts in all).

Problem Set K10: Velocity-Time Graphs 1
Use a velocity-time graph to determine an object's acceleration at indicated times. Includes 8 problems.

Problem Set K11: Velocity-Time Graphs 2
Use a velocity-time graph to determine an object's displacement at indicated times and during indicated time periods. Includes 10 problems.

Problem Set K12: Velocity-Time Graph Challenges
Use a velocity-time to analyze complex, multi-stage motions in order to determine time, velocity, acceleration, and displacement. Includes 3 problems.

Problem Set K13: Kinematic Equations 1
Use the four kinematic equations to solve for distance, time, speed, and acceleration. Includes 7 problems.

Problem Set K14: Kinematic Equations 2
Use the four kinematic equations to solve for distance, time, speed, and acceleration. Includes 7 problems.

Problem Set K15: Kinematic Equations 3
Use the four kinematic equations to solve for distance, time, speed, and acceleration. Includes 7 problems.

Problem Set K16: Kinematic Equations 4
Use the four kinematic equations to solve for distance, time, speed, and acceleration. Includes 7 problems.

Problem Set K17: Kinematic Equations 5
Besides the use of kinematic equations, these 7 problems require careful reading, keen attention to units, analysis of multi-stage motions, multi-object comparisons, and complicated algebraic manipulations. Includes 7 problems.

Problem Set K18: Kinematic Equations 6
Besides the use of kinematic equations, these 7 problems require careful reading, keen attention to units, analysis of multi-stage motions, multi-object comparisons, and complicated algebraic manipulations. Includes 7 problems.

Problem Set K19: Free Fall 1
Use kinematic equations or free fall concepts to calculate times to rise and fall, falling speeds after a specified time, falling distances, and more. The problems are carefully scaffolded and assume a free-fall acceleration of 10 m/s/s. Many will find that the math is head-math and the problems are calculator-free.  Includes 14 problems.

Problem Set K20: Free Fall 2
Use kinematic equations to calculate speeds, times and distances for objects that are free falling downward from an elevated position. Includes 7 problems.

Problem Set K21: Free Fall 3
Use kinematic equations to calculate speeds, times and distances for up-and-down free fall motion. Includes 7 problems.

Problem Set K22: Free Fall 4
Use kinematic equations to calculate speeds, times and distances for up-and-down free fall motion. Includes 8 problems.

Problem Set K23: Rocket Science
Analyze single-stage and two-stage rockets to determine times, speeds, heights, and more. Includes 4 problems.