# Mechanics: Vectors and Projectiles

We have 17 ready-to-use problem sets on the topic of Vectors and Projectiles. These problem sets focus the use of vector principles and kinematic equations to mathematically describe the motion of objects moving in two dimensions.

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Problem Set VP1 - Relative Motion 1
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 6 problems.

Problem Set VP2 - Relative Motion 2
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.

Problem Set VP3 - Resolving Vectors into Components 1
Given the magnitude and direction of a vector, determine the magnitude and direction of its components. Includes 6 problems.

Problem Set VP4 - Resolving Vectors into Components 2
Given the magnitude and direction of a vector, determine the magnitude and direction of its components. Includes 5 problems.

Problem Set VP5 - Adding Two Perpendicular Vectors
Use Pythagorean theorem and trigonometric functions to determine the magnitude and direction of the resultant formed from the addition of two perpendicular vectors. Includes 6 problems.

Problem Set VP6 - Adding Three or More Perpendicular Vectors
Use Pythagorean theorem and trigonometric functions to determine the magnitude and direction of the resultant formed from the addition of two perpendicular vectors. Includes 7 problems.

Problem Set VP7 - Adding Non-Perpendicular Vectors using Component Analysis 1
Use the method of component analysis to determine the resultant of two or more non-perpendicular vectors. Includes 6 problems.

Problem Set VP8 - Adding Non-Perpendicular Vectors using Component Analysis 2
Use the method of component analysis to determine the resultant of two or more non-perpendicular vectors. Includes 7 problems.

Problem Set VP9 - Relative Motion in Two Dimensions
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. Includes 5 problems.

Problem Set VP10 - River Boat Problems
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. Includes 5 problems.

Problem Set VP11 - Trajectory Analysis
Analyze the trajectory of horizontally- and angle-launched projectiles to determine their horizontal and vertical speeds and velocities at 1-second intervals of time. Includes 5 problems.

Problem Set VP12 - Horizontally-Launched Projectiles 1
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.

Problem Set VP13 - Horizontally-Launched Projectiles 2
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.

Problem Set VP14 - Horizontally-Launched Projectiles 3
Solve a horizontally-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.

Problem Set VP15 - Angle-Launched Projectiles 1
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.

Problem Set VP16 - Angle-Launched Projectiles 2
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.

Problem Set VP17 - Angle-Launched Projectiles 3
Solve an angle-launched projectile problem for quantities such as time, displacement, speed, and more . Includes 7 problems.