# 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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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

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

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

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

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

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