PHYS 0110 Lecture Notes - Lecture 3: Projectile Motion, Y Force, Free Body Diagram
Document Summary
1d - straight line (forward and backward) 2d - x and y plane (forward/backward; up/down) snail crawling. 3d - x, y, and z planes (forward/backward; up/down; in/out) butterfly flying. Velocity in two dimensions: velocity is v = vxx-hat + vvy-hat; for position . Example: given x- and y-hat components of position and velocity. Use x(t) = x0 + vxt and y(t) = y0 + vyt. Acceleration in two dimensions: acceleration is a = axx-hat + ayy-hat so . Example: given initial position and velocity and acceleration and time; find new position. X(t) = x0 + v0xt + ( )axt2. Projectile: anything that is thrown; anything thrown near the earth"s surface will feel the earth"s pull. Air affects trajectory of object a little bit. If air resistance is neglected, the motion of a projectile is the superposition of these independent motions: A horizontal motion with constant velocity, which is the initial horizontal velocity, v0x = v0cos( )0.
