Velocity and Position by Integration. Non-constant Acceleration Example.

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Presentation transcript:

Velocity and Position by Integration

Non-constant Acceleration Example

Chapter 2 Summary Motion Along a Straight Line

Chapter 3 Outline Motion in Two or Three Dimensions Position and velocity vectors Acceleration vectors Parallel and perpendicular components Projectile motion Uniform circular motion Relative velocity

Position Vector

Velocity Vector

Acceleration Vector

Parallel and Perpendicular Components of Acceleration

Projectile Motion Any body that is given an initial velocity and follows a path determined solely by the effects of gravity and air resistance is a projectile. The path the projectile follows is its trajectory. Initially, we will consider the simplest model in which we neglect the effects of air resistance, and the curvature of the earth.

Projectile Motion

Trajectory Shape

Projectile Motion Example #1

Projectile Motion Example #2