Section 1: Measuring Motion Key Ideas How is a frame of reference used to describe motion? What is the difference between speed and velocity? What do you need to know to find the speed of an object? How can you study speed by using graphs? Observing Motion Visual Concept: Motion How do we know an object has moved???? motion: an object’s change in position relative to a reference point frame of reference: a object that we measure from. Observing Motion, continued • Distance: measures the path taken. • Displacement: is the change of an object’s position. – includes direction Speed and Velocity What is the difference between speed and velocity? Speed: how fast an object moves Speed examples: Velocity: the speed and the direction that the object moves. Velocity examples: Visual Concept: Speed Math Skills Speed SI unit for speed: (m/s) constant speed: equal distances in equal amounts of time Ø The cheetah, the fastest of land animals, can run a distance of 274 m in 8.65 s at its top speed. What is the cheetah’s top speed? instantaneous speed: the speed at a given time Math Skills: Speed • The various types of tree sloths share the honor of being the slowest moving mammals. An average tree sloth moves with a speed of 0.743 m/s. How long does it take a sloth moving at this speed to travel 22.30 m? And Another example Polar bears are extremely good swimmers and can travel as long as 10 hours without resting. If a polar bear is swimming with an average speed of 2.6 m/s, how far will it have traveled after 10.0 hours? Visual Concept: Velocity Visual Concept: Speed and Velocity Right and up (+) and Down and left (-) Math Skills: Velocity The fastest crossing of the Atlantic Ocean by an ocean liner was made on July 7, 1952. The ship, the SS United States, traveled 4,727 km east by northeast in 82.0 hours. Assume that the ship had traveled the same speed, but directly east. What would the velocity of the SS United States be in kilometers per hour? Math Skills: Velocity The longest stretch of straight railroad tracks lies across the desolate Nullarbor Plain, between the Australian cities of Adelaide and Perth. The tracks extend a distance of 478 km without a curve. How long would it take a train, moving at a constant speed of 97.0 km/h, to travel this length of track? Graphing Motion How can you study speed by using graphs? distance on the y-axis time on the x-axis. The slope of a distance vs. time graph equals speed. Math Skills: Velocity The typical snail doesn’t cover very much ground even when it is moving at its maximum speed, which is 0.000833 m/min. How far will a snail travel if it moves at its top speed for 45 minutes? Homework Section Review 11.1 Graphing Skills Calculating Slope: Distance time graphs Calculating Slope Slope of line A? A B Slope of line B? Homework • Graphing Motion Activity