motion, speed, velocity power point pres

motion, speed, velocity

1. YEAR 7 - MATH Speed, Dista n ce a n d Time Manipulating the Formula of Speed, Distance and Time Defining speed, distance and time Solving worded problems How are the three related? Producing a table of values INSPIRED BY

2. Let’s defi n e speed, dista n ce a n d time: Speed tells us how fast something is travelling. The greater the value, the faster it’s going. Time is the period it takes to travel a certain distance. Common units of measurement: kilometres per hour (kph) and miles per hour (mph) Distance is the amount of space between two points that an object covers as it moves. Common units of measurement: kilometres (km) or miles (mi) Common units of measurement: hours (h), minutes (min) or seconds (s)

3. How are speed, dista n ce a n d time related? You can find the speed of an object if you know the distance it travelled and the time elapsed to travel the distance. Speed = Distance Time THE FORMULA

4. Cfheck your u n dersta n di n g! Speed = Distance Time THE FORMULA How fast? How long? How far? Speed Distance Time MATCH THE FOLLOWING: From the formula, how do we solve for distance? From the formula, how do we solve for time?

5. Check your u n dersta n di n g! Speed = Distance Time How fast? How long? How far? Speed Time Distance ANSWER KEY Distance = Speed × Time Distance Time = Speed THE FORMULA MATCH THE FOLLOWING:

6. Solvi n g Worded Problems Remember to convert 1h 30 minutes into one unit before calculating! 1 h 30 min = 1.5 h Ava ran from Sunfolk to South Trove in 1 h 30 min. If Ava has an average speed of 9.33 km/h, how far was she able to travel? Ava ran a distance of 14 km from Sunfolk to South Trove. Since we’re looking for distance, we’ll use this formula: Distance = Speed × Time Substitute the given values: Distance = 9.33 kph × 1.5 h Solve: Distance = 13.99 ≈ 14 km

7. Solvi n g Worded Problems If a car travels 400m in 20 seconds how fast is it going? You arrive in my class 45 seconds after leaving math which is 90 meters away. How fast did you travel? How long will it take for a bug to travel 5 meters across the floor if it travels at 1 m/s? An athlete threw a flying disk 139 meters through the air in a competition. While in flight, the disk traveled at an average speed of 13.0 m/s. How long did the disk remain in the air? How far can you get away from your little brother with the squirt gun filled with paint if you can travel at 3 m/s and you have 15 seconds before he sees you?

8. Solvi n g Worded Problems You need to get to class, 200 meters away, and you can only walk in the hallways at about 1.5 m/s. (if you run any faster, you’ll be caught for running). How much time will it take to get to your class? If you shout into the Grand Canyon, your voice travels at the speed of sound (340 m/s) to the bottom of the canyon and back, and you hear an echo. How deep is the Grand Canyon at a spot where you can hear your echo 5.2 seconds after you shout? How long will a bug travel 5 meters across the floor if it travels at 1 m/s? It takes Serina 0.25 hours to drive to school. Her route is 16 km long. What is Serina’s average speed on her drive to school? A plane travels 395,000 meters in 9000 seconds. What was its speed?

9. Summary Speed tells us how fast something is travelling. The greater the value, the faster it’s going. Distance is the amount of space between two points that an object covers as it moves. Time is the period it takes to travel a certain distance. Speed = Distance Time Distance = Speed × Time Time = Distance Speed