Velocity Review • 1. What is the difference between speed and velocity? • 2. Write down an example of speed and an example of velocity. Even More Practice • A plane is flying from Atlanta to San Diego at 520 mph west. It encounters wind from the jet stream moving at 30 mph east. What is the planes resultant velocity? • What about if the plane were headed east from San Diego to Atlanta instead? Bellringer • Give an example of an object in freefall. 3.3 Acceleration and direction • Remember..a change in velocity occurs whenever there is a change in speed, direction, or both. 3.3 Acceleration • Acceleration is the rate at which velocity changes. (How quickly an object changes speed or direction) 3.3 Speed and acceleration • Speed and acceleration are not the same thing. • Acceleration is the change in speed divided by the change in time. Acceleration Calculations If you start from a standstill and are going 5 meters per second at the end of 5 seconds, what is your rate of acceleration? Explain why each of the following is an example of acceleration…. • • • • A plane taking off Stopping at a corner Jogging on a track Driving around a corner • • • • Increase in speed Decrease in speed Change in direction Change in direction 3.3 Acceleration and motion graphs • A speed vs. time graph is useful for showing how the speed of a moving object changes over time. • If the line on the graph is horizontal, then the car is moving at a There is no change in speed constant speed. so there is no acceleration. 3.3 Acceleration and motion graphs • Like velocity, acceleration can be positive or negative. • Positive acceleration adds more speed each second. Speed is increasing at the same rate. 3.3 Acceleration and motion graphs • Negative acceleration subtracts some speed each second, so things get slower. • People sometimes use the word deceleration to describe slowing down. Speed is decreasing at the same rate. Graphing Acceleration • Between which 2 points do you find: 1. Negative acceleration? 2. Positive acceleration? 3. Steady speed? Try this one… • A coconut falls from the top of a tree and reaches a velocity of 19.6 m/s when it hits the ground. It takes 2 seconds to reach the ground. What is the coconut’s acceleration? (remember to include units and direction in your answer) Solution • a = (v2-v1) = t What force is causing the coconut to fall downward? Solution • a = (v2-v1) = t What force is causing the coconut to fall downward? GRAVITY 3.3 Free fall • An object is in free fall if it is accelerating due to the force of gravity and no other forces are acting on it. • Objects in free fall on Earth accelerate downward. 3.3 Free fall • Falling objects increase their speed by 9.8 m/s every second, or 9.8 m/s2 • The letter “g” is used for acceleration due to gravity. 3.3 Acceleration and direction • Acceleration occurs whenever there is a change in speed, direction, or both. 3.3 Acceleration and direction • A car driving around a curve at a constant speed is accelerating because its direction is changing. 3.3 Curved motion • A soccer ball is an example of a projectile. • A projectile is an object that is moving forward AND is also under the influence of gravity. 3.3 Curved motion • Circular motion is another type of curved motion. • An object in circular motion has a velocity vector that constantly changes direction. Section Review – page 73 • 3, 4, 5 • 7, 8, 9