Distance(m) Time(sec) 1. Does this graph represent constant or changing speed?How do u know
10 20 2. Find the average speed
20 40
35 70
65 130
85 170
100 200
answer?
1. To determine whether the graph represents constant or changing speed, we need to examine the relationship between the distance and the time.
- Constant speed: If the speed is constant, the distance covered will increase at a steady rate as time progresses. This means that the ratio of distance to time will remain constant throughout.
- Changing speed: If the speed is changing, the distance covered will not increase at a steady rate. The ratio of distance to time will vary as time progresses.
Looking at the graph provided, let's examine the ratio of distance to time for each data point:
For the first data point (10m, 20s), the ratio of distance to time is 10m / 20s = 0.5m/s.
For the next data point (20m, 40s), the ratio of distance to time is 20m / 40s = 0.5m/s.
For the third data point (35m, 70s), the ratio of distance to time is 35m / 70s = 0.5m/s.
For the fourth data point (65m, 130s), the ratio of distance to time is 65m / 130s = 0.5m/s.
For the fifth data point (85m, 170s), the ratio of distance to time is 85m / 170s = 0.5m/s.
For the sixth data point (100m, 200s), the ratio of distance to time is 100m / 200s = 0.5m/s.
Since the ratio of distance to time is constant and equal to 0.5m/s for all the data points, we can conclude that the graph represents a constant speed.
2. To find the average speed, we can use the formula:
Average Speed = Total Distance / Total Time
Total Distance = Sum of all the distances = 10m + 20m + 35m + 65m + 85m + 100m = 315m
Total Time = Sum of all the times = 20s + 40s + 70s + 130s + 170s + 200s = 630s
Average Speed = 315m / 630s = 0.5m/s
Therefore, the average speed is 0.5m/s.