Lindsey rode her moped to the store and her distance and time were recorded. The data shows her distance increased linearly from 0 to 20 seconds, indicating she traveled at a constant speed. From 100 to 140 seconds her distance remained constant at 200 meters, meaning her speed was zero. From 180 to 240 seconds her distance increased linearly again, suggesting constant speed. The graph and calculations would show Lindsey's changing speed and acceleration over time based on the distance and time data collected.

1. Distance-Time Graph
Problem 1
Lindsey rode her moped to the petrol station to buy some Ribena. Use the following data
to construct a distance-time graph.
Time (Seconds) Distance (Meters) Speed (m/s) Acceleration (m/s2)
0 0
20 20
40 50
60 100
80 160
100 200
120 200
140 200
160 275
180 300
200 350
220 400
240 450
1. What do you notice about Lindsey’s speed from 0-9 seconds?
2. What can you say about Lindsey’s speed from 100-140 seconds?
3. What can you say about Lindsey’s speed from 180-240 seconds?
4. Calculate Lindsey’s average speed from 0- 80 seconds.
5. Calculate Lindsey’s average speed from 180-240 seconds.
Problem 2
Calculate Lindsey’s instantaneous speed for each time.
Problem 3
Using Lindsey’s instantaneous speed, construct a speed-time graph. Then calculate
Lindsey’s acceleration for each time.