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Speed measures how fast position changes. distance. Speed. =. time. distance. Speed . Speed is how fast positions change with time. 00:00. 00:02. Speed . A measure of how fast something moves through a particular distance over a definite time period. You try.
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distance Speed = time distance Speed Speed is how fast positions change with time 00:00 00:02
Speed • A measure of how fast something moves through a particular distance over a definite time period.
You try • Suppose a race is 50 m and it takes an athlete 15 seconds to run it. Is that enough information to calculate the runner’s speed? • Think-pair-share (2 minutes) • YES, the formula for speed = distance time
Average speed • Imagine taking a road trip with your friends or family. When you travel in your car do you stay at a constant speed? THIS IS YOUR AVERAGE SPEED
Average speed • Usually objects do not travel at a constant speed. • Do you run at a constant pace when you run for a mile in PE class? • Think about when you are riding somewhere and you hit traffic. • It is more useful to calculate an objects average speed using the following equation:
Average speed example • Think about when you meet your friends at the movies • You say “I’ll meet you there in 20 minutes.” • Are you traveling at a constant rate for 20 minutes? • No, instead we average the speed. We went 5 miles in 20 minutes so what is my average speed to meet your friends at the movies? • .25miles/minute
Average vs. Instantaneous speed • During a typical trip to school, your car will undergo a series of changes in its speed. If you were to inspect the speedometer readings at regular intervals, you would notice that it changes often • The speedometer of a car reveals information about the instantaneous speed of your car. • Instantaneous speed- speed at a particular instant in time. (NOT AVERAGE SPEED)
Average vs. Instantaneous Speed • Average speed • Measure of distance traveled in a given period of time. • Ratio: distance per time
Average vs. Instantaneous speed • Suppose that during your trip to school you traveled a distance of 5 miles and the trip lasted 0.2 hours (12 minutes) • What is your average speed? • Average speed= 5 miles/0.2 hours= 25mph • What is your instantaneous speed? • Speed at the particular moment you looked at the speedometer
Formulas • Speed= Distance/time • How would average speed differ? • Average speed = Total Distance/Total Time
Problem 1: • If your great aunt Betty traveled 2500miles from LA to New York in 4 hours, what is the average speed of the airplane?
Problem 2: • It takes you 9 minutes to run 1 mile. • What is your average speed in miles per minute? • In miles per hour? • .11 miles/minute • 6.67 miles/hour