* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Motion in a Line
Newton's theorem of revolving orbits wikipedia , lookup
Specific impulse wikipedia , lookup
Analytical mechanics wikipedia , lookup
Coriolis force wikipedia , lookup
Fictitious force wikipedia , lookup
Derivations of the Lorentz transformations wikipedia , lookup
Length contraction wikipedia , lookup
Faster-than-light wikipedia , lookup
Jerk (physics) wikipedia , lookup
Brownian motion wikipedia , lookup
Seismometer wikipedia , lookup
Classical mechanics wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Hunting oscillation wikipedia , lookup
Velocity-addition formula wikipedia , lookup
Classical central-force problem wikipedia , lookup
Newton's laws of motion wikipedia , lookup
Centripetal force wikipedia , lookup
Physics-Motion in a line Dr. J Seale Objectives Describe motion in a straight line. Define the equations of motion in terms of displacement, velocity, and acceleration. Demonstrate the ability to solve problems in physics relation to the motion of an object. What is Motion Mechanics: study of the motion of an objects, and the related concepts of force and energy. Kinematics: motion of objects. Dynamics: deals with force and why objects move. Translational motion We will begin with the motion of an object in a straight line without rotation. motion is along the same line. all parts of the object move together at the same velocity. Distance/Displacement Distance refers to how far an object has traveled. (Scaler) Displacement refers to the change in position of an object (Vector). Final position X2 Initial Position X1 Displacement ΔX = (X2 - X1) Speed/Velocity Speed refers to how far an object travels in a given amount of time. (distance/time) Average velocity refers to the change in position over a change in time. Average Velocity = displacement/elapsed time Vave = ΔX/ Δt Instantaneous velocity is average velocity during a instant. v = lim (Δt -> 0) ΔX/Δt acceleration Acceleration refers to the change in velocity with respect to time. Positive acceleration is in the same direction as the motion. a = Δv / Δt Units are m/s2 Distance, velocity and Acceleration We now know that: Displacement Δx = (x2 - x1) v = Δx/ Δt = (x2 - x1) / Δt a = Δv / Δt = (v2 - v1) / Δt Also: Δx = ½ at2 Equations of Motion Using the appropriate math (algebra and calculus) and assuming x0 and v0 are are initial position and velocity: x = x0 + vt x = x0 + v0t + ½ at2 v = v0 + at v2 = v02 + 2a(x - x0)