A cyclist and a runner have a race. The distance-time graph for the race is shown below

i) When the race started, a walker set off at a steady speed of 2m/s. Draw a line on the graph

to show the distance the walker covers in the first 15 seconds. Use a ruler.

ii) Calculate how many seconds it will take for the walker to walk 100m

Answers

Answer 1

According to the data, the line showing the relationship between time and distance of the walker is the purple line on the graph.

How to graph the distance traveled by the walker?

A graph can be defined as an instance in which the data and the numerical value will be presented in a graphic form. This will be based on the numerical values. This can include lines, dots, and bars to represent the data.

In order to graph the distance that the walker travels over time we must take into account the speed at which he walks. In this case it maintains a constant speed of 2m/s. This means that the coordinates in the plane of this displacement are:

(0, 0)

(1, 2)

(2, 4)

(3, 6)

(4, 8)

(5, 10)

(6, 12)

(7, 14)

(8, 16)

(9, 18)

(10, 20)

(11, 22)

(12, 24)

(13, 26)

(14, 28)

(15, 30)

According to the above, the coordinate information matches the track information and the end point of this displacement would be (15, 30).

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