1) Draw a line that represents the speeds given.
- For 100 km/h: Draw a straight line with a positive slope on the distance-time graph where time is in hours. The line should rise 100 units in distance for every 1 unit of time (hour).
- For 2 m/s: Draw a straight line with a positive slope on the distance-time graph where time is in seconds. The line should rise 2 units in distance for every 1 unit of time (second).
- For 15 mph: Draw a straight line with a positive slope on the distance-time graph where time is in hours. The line should rise 15 units in distance for every 1 unit of time (hour).
2) A car travels 30 miles for 30 minutes. The car then stops at a service station for 10 minutes. The car continues for another 20 minutes at a constant speed of 45 mph. Draw the distance-time graph for the car.
- From 0 to 30 minutes: Draw a straight line with a positive slope representing 30 miles in 30 minutes (0.5 hours). The speed is 60 mph.
- From 30 to 40 minutes: Draw a horizontal line at 30 miles, indicating the car is stopped.
- From 40 to 60 minutes: Draw a straight line with a positive slope representing 45 mph. In 20 minutes (1/3 hour), the car travels 15 miles. The line should rise from 30 miles to 45 miles over this period.
3) A girl walks at a steady speed of 1.5 m/s for 20 seconds. She stops for 15 seconds. She then walks back to the start at 2 m/s. Draw the distance-time graph for the girl.
- From 0 to 20 seconds: Draw a straight line with a positive slope representing 1.5 m/s. The distance increases by 30 meters (1.5 m/s * 20 s).
- From 20 to 35 seconds: Draw a horizontal line at 30 meters, indicating the girl is stopped.
- From 35 to 45 seconds: Draw a straight line with a negative slope representing 2 m/s. The distance decreases from 30 meters to 0 meters in 15 seconds.
4) A car drives for 1.5 hours at a steady speed of 60 mph, then stops for 30 minutes. The car then drives back to where it started at 45 mph. Draw the distance-time graph.
- From 0 to 1.5 hours: Draw a straight line with a positive slope representing 60 mph. The distance increases by 90 miles (60 mph * 1.5 h).
- From 1.5 to 2 hours: Draw a horizontal line at 90 miles, indicating the car is stopped.
- From 2 to 4 hours: Draw a straight line with a negative slope representing 45 mph. The distance decreases from 90 miles to 0 miles in 2 hours (90 miles / 45 mph = 2 hours).
Parent Tip: Review the logic above to help your child master the concept of velocity time graphs worksheets.
