PHYS 1A Chapter Notes - Chapter 3: Acceleration, Circular Motion, Projectile Motion
Document Summary
3. 1 the position, velocity, and acceleration vectors: position vector (r) R = rf - ri: average velocity: vavg = r/ t. Average velocity is a vector quantity in the direction of r; it is independent of the path between 2 points: instantaneous velocity: v = lim ( t->0) r/ t = dr/dt. Speed: magnitude of instantaneous velocity: average acceleration: aavg = v/ t. Average acceleration is the ratio of a vector quantity v and scalar quantity t, so it is a vector quantity in the same direction as v: instantaneous acceleration: a = lim ( t->0) v/ t = dv/dt. Acceleration can change when: the magnitude of the velocity vector changes the direction of the velocity vector changes. Velocity: v = dr/dt = vxi + vyj: at constant acceleration: Rf = ri + vit + at2 xf = xi + vxit + axt2 yf = yi + vyit + ayt2.
