Distance-Time Graphs Recap Walk quickly away from the motion detector Distance Walk slowly away from the motion detector Distance Distance Stop Time Time Time Walk quickly towards the motion detector Distance Distance Walk slowly towards the motion detector Time Distance Describe what is happening in each section of the following graph: Time Time Calculating Speed Speed = _________________ = ______ 1. For the following graph, calculate the rate of change of each section. 10 Distance (m) 8 6 C 4 D B A 2 0 0 2 4 6 8 10 12 14 Time (s) Section Speed Work A B C D 2. Describe the movements in the following graph. Make specific reference to distance, time, speed, and direction. 10 Distance (m) 8 A C 6 B 4 D 2 0 0 2 4 6 8 10 12 14 Tim e (s) Section A B C D Description Calculations 3. The following graph describes Marissa’s drive to work. 20 18 Distance from Home (km) 16 14 12 10 8 6 4 2 0 0 5 10 15 20 25 Time (min) a) Determine the total amount of time that she spent stopped during her trip. b) What percent of her total time did she spend stopped? c) After 10 minutes, how far is she from her house? d) At what time is she 7 km from her house? e) Determine her maximum speed during the trip. f) Determine her minimum speed during the trip. Distance Time Graph Practice 1. Describe the movements in the following graph using rate of change. Make specific reference to distance, time, speed, and direction. 100 90 80 Distance (km) 70 D 60 50 40 C B 30 20 A 10 0 0 5 10 15 20 25 Time (h) Section A B C D Description Calculations 2. The following graph describes Chris’s rock climbing trip. 20 18 Height above the ground (m) 16 14 12 10 8 6 4 2 0 0 5 10 15 20 Tim e (m in) a) How much time in total does he spend stopped? b) Give one reason why he might have stopped. c) What percent of the total time does he spend climbing up? d) At what time(s) was he 18 m above the ground? e) Calculate his slowest climbing speed. f) Calculate the speed at which he fell down. 3. The following graph shows Anna’s freefall while skydiving. Describe her skydiving trip. Make specific reference to distance, time, speed, and direction. 12 Height above the ground (km) 10 8 6 4 2 0 0 5 10 15 20 25 30 35 40 45 50 55 60 Tim e (sec) Section Description Calculations A B C ANSWERS 1] A: Moved 20 km forward in 5 hours at a speed of 4 km/h, B: Moved 10 km forward in 5 hours at a speed of 2 km/h, C: Stopped for 10 hours, D: Moved 70 km forward in 5 hours at a speed of 14 km/h 2a] 7 min 2b] He stopped to rest 2c] 60% 2d] 15 min and 17.1 min 2e] 0.5 m/min 2f] –10 m/min 3] A: She is waiting on the plane for 10 sec at a height of 10 km, B: She falls 9 km downwards in 15 seconds at a speed of –0.6 km/s, c: She opens her parachute and falls 1 km downward in 35 seconds at a speed of 0.03 km/s