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Speed, Distance, Time

Speed, Distance, Time. Warm UP. How far do you live from school? How long does it take you to get to school? Calculate your average speed from home to school. Distance. How FAR an object moves Units of distance: m: meter km: kilometer mi: miles. Time.

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Speed, Distance, Time

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  1. Speed, Distance, Time

  2. Warm UP How far do you live from school? How long does it take you to get to school? Calculate your average speed from home to school.

  3. Distance • How FAR an object moves • Units of distance: m: meter km: kilometer mi: miles

  4. Time • How LONG it takes for an object to move a certain distance • Units of time: s: second min: minute hr: hour

  5. Speed/Velocity • How FAST an object moves • Formula: speed = distance/time • Units of speed: mi/hr: mile per hour m/s: meter per second km/hr: kilometer per hour

  6. Example Victoria: Distance from school: 1 mile Time to get to school: 10 minutes Speed: speed = distance/time v = d/t = 1 mile / 10 min = 0.1 mi/min

  7. Formulas 1. speed = distance/time v = d/t 2. distance = speed x time d = v × t 3. time = distance/speed t = d/v

  8. Example 2 A car is moving at 50 mi/hr. How long does it take for this car to reach 400 miles? Given: speed = 50 mi/hr distance = 400 miles Find: time = ? t = d/v = 400 miles ÷ 50 mi/hr= 8 hrs

  9. Gerson’s Example Distance: 1 mile Departure time: 7:30am Arrival time: 8:00 am Time: 30 min = 0.5 hr Speed: v = d/t = 1 mile / 30 min = 0.03 mi/min v = 1 mile / 0.5 hr = 2 mi/hr

  10. HOMEWORK • Work on speed, distance, time problems on website (btmclc.org) • Don’t copy questions; show all your work

  11. Homework: Calculating Speed/Velocity • Florence Griffith-Joyner set the women’s world record for running 200.0 m in 1988. At the 1988 Summer Olympics in Seoul, South Korea, she completed the distance in 21.34 s. What was Florence Griffith-Joyner’s average speed? • 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? • In 1985, Matt Biondi set a record for the men’s 100 m freestyle event in swimming. It took him 49.17 s to swim the 50.0 m length of the pool and swim back. Assume that half of Biondi’s record time was spent traveling the length of the pool. What was his speed? • Find the velocity in meters per second of a swimmer who swims exactly 110 meters toward the shore in 55 seconds.

  12. Find the velocity in meters per second of a baseball thrown 38 meters from third base to first base in 1.7 seconds. • Calculate the distance in kilometers a cyclist would travel in 5.00 hours at an average velocity of 12.0 km/hr to the southwest. • Calculate the time in seconds an Olympic skier would take to finish a 2,600 meter race at an average velocity of 28 m/s downhill. • What is the speed in kilometers per hour of a train that travels 3,701 km in 87 hours? • What is the velocity in meters per second of a sailboat that travels 149 meters away from the shore in 16.8 seconds? • A baseball is pitched with a speed of 35.0 m/s. How long does it take the ball to travel 18.4 m from the pitcher’s mound to home plate?

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