160 likes | 356 Views
Motion Notes. Overview. Mechanics – 2 parts. Kinematics Characteristics of motion Dynamics Causes of motion. Kinematics. Imagine a three legged stool and each leg is a fundamental parameter of motion: Position (distance/location) Time Speed. Kinematics – Position.
E N D
Motion Notes Overview
Mechanics – 2 parts • Kinematics • Characteristics of motion • Dynamics • Causes of motion
Kinematics • Imagine a three legged stool and each leg is a fundamental parameter of motion: • Position (distance/location) • Time • Speed
Kinematics – Position • Position (linear measure) • Where an object is located at specific point in time • Units of meters • Can be described in terms of: • Distance (scalar) • measure from one position to another • Displacement (vector) • measure from one position to another in a direction • distance from the start point to the finish point in a straight line, in a certain direction Stop here
Kinematics - Speed • Definition • Rate of change of position • Average Speed (scalar) = distance traveled time taken to travel the distance • Velocity (vector) = displacement time taken • When traveling in a straight line, speed and velocity have the same magnitude. • vav = d/t • Units: meters/second (m/s) • Distance is to speed (both scalar quantities) as displacement is to velocity (both vector quantities).
Example – speed • Usain “Lightning” Bolt won the World Track & Field 100m sprint in 9.58 seconds. What was his average speed in m/s? • Solve: avg speed = distance/time • Speed (v) = 100/9.58 = 10.438 m/s
Example - segments • A traveler uses a cab to travel east for 1000 m @ 25 m/s then north for 1700 m @ 10 m/s. How long is the trip? • Solution: break the trip into segments and use d = v*t or t = d/v to find the segment times – then add. • Seg 1: t = 1000/25 = 40 seconds • Seg 2: t = 1700/10 = 170 seconds • Total time = 40 + 170 = 210 seconds.Stop
http://www.physicsclassroom.com/Class/1DKin/U1L1c.cfm see teachers tab
Kinematics - Acceleration • How do you pass a car on I-81? • Definition • Rate of change of velocity • a = v/t, or • a = (vf – v0)/t, where • vf = final (ending) velocity • v0 = initial (starting) velocity • t = time taken for the velocity to change • units: meters/sec/sec, or meters/sec2 (m/s2) • VECTOR! • Average speed (alternative formula) • Vav = (v0 + vf)/2
Example - acceleration • A funny car accelerates from zero to 300 mph (135 m/s) in 5 seconds. What is its acceleration? • Solve: acceleration = (vf– vo)/t • a = (135 - 0)/5 • a = 27 m/s/s • a = 27 m/s2 • g-forces?STOP
Kinematics – Graphs (Distance vs Time) • slope = velocity or speed of the object • Steep (left) slope = higher speed • Zero slope (flat line) = object stationary • Slope can be + or – indicating motion direction
Kinematics – Graphs (Velocity vs time) • slope is acceleration • Steep (left) slope = higheraccel’n • Zero slope (flat line) = zero accel’n or the object is moving at constant speed • Slope can be + or – indicating speed direction STOP
Practice - Handouts • H/O Interpretation of Motion Graphs • D-T & V-T • H/O d-t & v-t graph worksheet • D-T & V-T • H/O Position Time • D-T & V-T