Distance-Time Graphs Investigation Starting Line 10 m 20 m 30 m 40 m There is a man standing at the starting line of a 40 m track. 30 20 10 0 1 2 3 4 c) 40 Distance from Starting Line (m) b) 40 Distance from Starting Line (m) a) Distance from Starting Line (m) 1. Determine what is happening to the man in each of the following graphs. 30 20 10 0 1 T ime (s) 30 20 10 1 2 3 4 20 10 1 20 10 2 2 3 4 1 3 4 i) 30 20 10 1 2 T ime (s) 3 4 30 20 10 1 2 3 4 3 4 T ime (s) 40 0 2 40 0 Distance from Starting Line (m) Distance from Starting Line (m) Distance from Starting Line (m) 30 T ime (s) 0 f) 30 0 h) 1 10 T ime (s) 40 0 20 T ime (s) 40 T ime (s) g) 4 Distance from Starting Line (m) e) 40 0 3 30 T ime (s) Distance from Starting Line (m) Distance from Starting Line (m) d) 2 40 3 4 40 30 20 10 0 1 2 T ime (s) Distance from Starting Line (m) b) 40 Distance from Starting Line (m) a) 30 20 10 0 1 2 3 4 c) 40 30 20 10 0 1 2 T ime (s) 3 Distance from Starting Line (m) 2. Predict what is happening in each of the following graphs. 40 30 20 10 4 0 1 T ime (s) 2 3 T ime (s) 3. Draw a graph to match each of the following descriptions. 30 20 10 0 1 2 T ime (s) 3 4 40 30 20 10 0 c) Noel starts at the 30 m mark and runs to the starting line. He then walks to the 10 m mark, but stops for a break in the middle. Distance from Starting Line (m) 40 b) Martina runs from the starting line to the 40 m mark and then back again. Distance from Starting Line (m) Distance from Starting Line (m) a) David stands still at the starting line for 2 seconds and the slowly walks forward. 1 2 T ime (s) 3 4 40 30 20 10 0 1 2 T ime (s) 3 4 4 Distance Time Graphs Fast Forward Distance Distance Slow Forward Distance Stopped T ime T ime Fast Backward Distance Distance Slow Backward T ime T ime T ime Distance from Home 1. Determine what is happening in each section of the following graph. T ime Distance from Home 2. The following graph shows Gretchen’s trip to the store. Write a story to describe her trip. T ime Distance from Start 3. Ed decides to go canoeing on the river. He leaves the dock and quickly paddles forward. He hits some rapids and his boat speeds up. Clear of the rapids, Ed decides to pull over to the bank and rest for a few minutes. Ed then turns around and slowly paddles back to the dock against the current. Draw a graph to show Ed’s trip. T ime 4. Matt and Christine decide to have a bicycle race. The graph below shows Matt and Christine’s distance traveled over time. 140 120 Distance (m) 100 80 60 40 20 0 0 3 6 9 Time (s) Matt a) At what time(s) is Matt ahead in the race? b) At what time(s) is Christine ahead in the race? c) Who reached the highest speed during the race? d) If the race was 90 m long, who won the race? e) If the race was 100 m long, who won the race? Christine 12 15