Kinematics in Two Dimensions
Ignore the effect of air resistance when analyzing projectile motion.
Velocity vectors
- Calculate the horizontal and vertical components of the velocity vector when the magnitude and direction of the velocity are known.
- Calculate the magnitude and direction of the velocity vector if the horizontal and verticalvelocity components of the velocity are known.
- Given a graph of the horizontal and vertical positions, determine the direction of the velocity vector and acceleration vector at any specified location.
Fundamental Concepts of Projectile Motion (while a projectile is in the air)
- Describe the magnitude and direction of the acceleration during projectile motion.
- Describe the magnitude and direction of the velocity change each second.
- For each quantity listed below, state whether that quantity stays the same or changes. If the stays the same, explain why. If it changes, explain how much and in what direction it changes each second and explain why it changes.
- velocity vector's horizontal component
- velocity vector's vertical component
- acceleration vector
Applying the Fundamental Concepts (while a projectile is in the air)
- Consider a projectile with an initial velocity direction that is horizontal.
- If the initial velocity is known:
- Calculate the time to reach a specified position.
- Calculate the magnitude and direction of the velocity at a specified time.
- Calculate the horizontal and vertical positions at a specified time.
- Calculate the time to reach a specified horizontal or vertical position..
- If the horizontal and vertical positions are known:
- Calculate the time to reach the known position.
- Calculate the initial velocity magnitude.
- Consider a projectile with a known initial velocity magnitude and direction.
- At the point of highest vertical position (highest elevation):
- State the magnitude of the vertical velocity component.
- Calculate the time.
- Calculate the horizontal and vertical positions.
- Calculate the magnitude and direction of the velocity vector.
- At a specified horizontal position:
- Calculate time.
- Calculate the vertical position.
- Calculate the magnitude and direction of the velocity vector.
- At a specified vertical position:
- Calculate time.
- Calculate the horizontal position.
- Calculate the magnitude and direction of the velocity vector.
College Physics I / Page 1 of 1 / © 2010 Paul Koblas