Relate velocity, displacement and time for motion with constant velocity.
Calculate the component of a vector along a specified
axis,
or resolve a vector into components along two specified mutually
perpendicular axes.
Add vectors in order to find the net displacement of a
particle that undergoes successive straight-line displacements.
Subtract displacement vectors in order to find the location of one particle relative to another, or calculate the average velocity of a particle.
Add or subtract velocity vectors in order to calculate the velocity change or average acceleration of a particle, or the velocity of one particle relative to another.
Student should understand the motion of projectiles in a uniform gravitational field so they can:
Write down expressions for the horizontal and vertical components of velocity and position as functions of time, and sketch or identify graphs of these components.
Use these expressions in analyzing the motion of a projectile that is projected above level ground with a specified initial velocity.
Relate the radius of the circle and the speed or rate of revolution of the particle to the magnitude of the centripetal acceleration.
Describe the direction of the particle's velocity and acceleration at any instant during the motion. (Velocity is tangent to the circle and acceleration is toward the center of the circle.)
Determine the components of the velocity and acceleration vectors at any instant, and sketch or identify graphs of these quantities.