Vectors and Projectiles
We have 17 ready-to-use problem sets on the topic of Vectors and Projectiles, along with many review sets comprised of the problems in these sets (CP = Conceptual Physics, HP = Honors Physics).
These problem sets focus the use of vector principles and kinematic equations to mathematically describe the motion of objects moving in two dimensions.
Problem Sets
Set VP1 - Relative Motion 1
6 Problems - Medium Difficulty
Determine the velocity of an object with respect to an observer if the object is moving along a medium that moves relative to the observer.
Set VP2 - Relative Motion 2
5 Problems - Medium Difficulty
Determine the velocity of an object with respect to an observer if the object is moving along a medium that moves relative to the observer. Includes 5 problems.
Set VP3 - Resolving Vectors into Components 1
6 Problems - Medium Difficulty
Given the magnitude and direction of a vector, determine the magnitude and direction of its components.
Set VP4 - Resolving Vectors into Components 2
5 Problems - Medium Difficulty
Given the magnitude and direction of a vector, determine the magnitude and direction of its components.
Set VP5 - Adding Two Perpendicular Vectors
6 Problems - Medium Difficulty
Use Pythagorean theorem and trigonometric functions to determine the magnitude and direction of the resultant formed from the addition of two perpendicular vectors.
Set VP6 - Adding Three or More Perpendicular Vectors
7 Problems - Medium Difficulty
Set VP7 - Adding Non-Perpendicular Vectors using Component Analysis 1
6 Problems - Hard Difficulty
Set VP8 - Adding Non-Perpendicular Vectors using Component Analysis 2
7 Problems - Hard Difficulty
Set VP9 - Relative Motion in Two Dimensions
5 Problems - Medium Difficulty
Determine the velocity of an object with respect to an observer if the object is moving at an angle to the motion of a medium that moves relative to the observer.
Set VP10 - River Boat Problems
5 Problems - Medium Difficulty
Analyze the motion of a boat that heads straight across a river that moves relative to the shore; determine the resultant velocity, the time to cross the river, and the distance traveled downstream.
Set VP11 - Trajectory Analysis
4 Problems - Very Easy Difficulty
Analyze the trajectory of horizontally- and angle-launched projectiles to determine their horizontal and vertical speeds and velocities at 1-second intervals of time.
Set VP12 - Horizontally-Launched Projectiles 1
7 Problems - Medium Difficulty
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more.
Set VP13 - Horizontally-Launched Projectiles 2
7 Problems - Medium Difficulty
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more.
Set VP14 - Horizontally-Launched Projectiles 3
7 Problems - Hard Difficulty
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more.
Set VP15 - Angle-Launched Projectiles 1
7 Problems - Medium Difficulty
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more.
Set VP16 - Angle-Launched Projectiles 2
7 Problems - Hard Difficulty
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more.
Set VP17 - Angle-Launched Projectiles 3
7 Problems - Very Hard Difficulty
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more.
Summary Sets
These activities are combinations of the above Problem Sets, used primarily for Lesson Plans activities and Review
Projectiles 1: Up and Down Mathematics (CP)
6 Problems - Very Easy Difficulty
Use Free Fall concepts and/or Desmos graphs to solve the following problems.
Vectors and Projectiles 1: Adding Vectors
6 Problems - Medium Difficulty
Use Pythagorean theorem, SOH CAH TOA, and a head-to-tail vector addition diagram to solve the following right-angle vector addition problems.
Vectors and Projectiles 1: Adding Right Angle Vectors (HP)
6 Problems - Medium Difficulty
Use Pythagorean theorem, SOH CAH TOA, and a head-to-tail vector addition diagram to solve the following right-angle vector addition problems.
Projectiles 2: Projectile Data and Diagrams (CP)
4 Problems - Very Easy Difficulty
Use projectile motion concepts and/or Desmos graphs to solve the following problems.
Vectors and Projectiles 2: Component Addition
2 Problems - Hard Difficulty
Use principles of component addition of vectors with the Pythagorean theorem and SOH CAH TOA to solve the following vector addition problems.
Vectors and Projectiles 2: Component Addition (HP)
4 Problems - Hard Difficulty
Use principles of component addition of vectors with the Pythagorean theorem and SOH CAH TOA to solve the following vector addition problems.
Vectors and Projectiles 3: Component Addition
4 Problems - Hard Difficulty
Use principles of component addition of vectors with the Pythagorean theorem and SOH CAH TOA to solve the following vector addition problems.
Vectors and Projectiles 3: Component Addition (HP)
5 Problems - Very Hard Difficulty
Use principles of component addition of vectors with the Pythagorean theorem and SOH CAH TOA to solve the following vector addition problems.
Vectors and Projectiles 4: Relative Velocity/Riverboat Problems
5 Problems - Medium Difficulty
Use relative velocity concepts, Pythagorean theorem, SOH CAH TOA and the average speed equation to solve the following problems.
Vectors and Projectiles 4: Relative Velocity/Riverboat Problems (HP)
3 Problems - Medium Difficulty
Use relative velocity concepts, Pythagorean theorem, SOH CAH TOA and the average speed equation to solve the following problems.
Vectors and Projectiles 5: Horizontally Launched Projectiles
3 Problems - Easy Difficulty
Use concepts of projectile motion to solve the following problems.
Vectors and Projectiles 5: Horizontally Launched Projectiles (HP)
8 Problems - Medium Difficulty
Use concepts of projectile motion and kinematic equations to solve the following problems.
Vectors and Projectiles 6: HLP Problems
6 Problems - Medium Difficulty
Use projectile motion concepts and kinematic equations (projectile equations) to solve the following problems.
Vectors and Projectiles 6: Angle-Launched Projectiles (HP)
6 Problems - Medium Difficulty
Use concepts of projectile motion and kinematic equations to solve the following problems.
Vectors and Projectiles 7: ALP Problems
3 Problems - Easy Difficulty
Use projectile motion concepts and kinematic equations (projectile equations) to solve the following problems.
Vectors and Projectiles 7: Assorted Projectile Problems (HP)
6 Problems - Hard Difficulty
Use concepts of projectile motion and kinematic equations to solve the following problems.
Vectors and Projectiles 8: ALP Problems
4 Problems - Hard Difficulty
Use projectile motion concepts and kinematic equations (projectile equations) to solve the following problems.
Vectors and Projectiles 8: Assorted Projectile Problems (HP)
8 Problems - Hard Difficulty
Use concepts of projectile motion and kinematic equations to solve the following problems.
Vectors and Projectiles 9: Unit Review
17 Problems - Medium Difficulty
The following problems span the entire Vectors and Projectiles unit and serve as a review of the mathematics of the unit.