# Kinematics in Two Dimension

Student Learning Objectives
Lessons / Lecture Notes
Important Equations
Example Problems
Applets and Animations
Videos

Student Learning Objectives

• To understand displacement, velocity, and acceleration in two dimensions.
• To understand projectile motion.
• To solve quantitative kinematics problems in two dimensions and to interpret the results.

Lessons / Lecture Notes

The Physics Classroom (conceptual)

PY105 Notes from Boston University (algebra-based):

Introductory physics notes from University of Winnipeg (algebra-based):

HyperPhysics (calculus-based)

PHY2048 notes from Florida Atlantic University (calculus-based):

PHY2043 notes from Florida Atlantic University (calculus-based)

General Physics I notes from ETSU (calculus-based)

Important Equations

Example Problems

Problem 1
A golf ball rolls off a horizontal cliff with an initial speed of 11.4 m/s. The ball falls a vertical distance of 15.5 m into a lake below. (a) How much time does the ball spend in the air? (b) How far from the edge of the cliff does the ball land? (c) What is the speed v of the ball just before it strikes the water? (Solutions)

Problem2
A rocket is fired at a speed of 75.0 m/s from ground level, at an angle of 60.0o above the horizontal. The rocket is fired toward an 11.0 m high wall, which is located 27.0 m away. By how much does the rocket clear the top of the wall? (Solutions)

Applets and Animations

 Motion in 2D Try the new "Ladybug Motion 2D" simulation for the latest updated version. Learn about position, velocity, and acceleration vectors. Move the ball with the mouse or let the simulation move the ball in four types of motion (2 types of linear, simple harmonic, circle). Lady Bug Motion 2D Learn about position, velocity and acceleration vectors. Move the ladybug by setting the position, velocity or acceleration, and see how the vectors change. Choose linear, circular or elliptical motion, and record and playback the motion to analyze the behavior. Dropping Two Balls Two balls falling near the Earth's surface under the influence of gravity. Projectile Motion Firing a projectile when air resistance is negligible. The initial height and angle may be adjusted. Projectile Motion Blast a Buick out of a cannon! Learn about projectile motion by firing various objects. Set the angle, initial speed, and mass. Add air resistance. Make a game out of this simulation by trying to hit a target. Projectile Motion I This applet allows you to investigate projectile motion. The user can control the initial height, projection angle and launch speed. Monkey Hunter An animation of the classic lecture demonstration.

Videos

 Download video (4.3 Mb) Watch Streaming Very cool video of a man trusting in the laws of physics. Unfortunately, this video is a fake. Read more how the video was made by clicking here.