NYC FIRST
Velocity Arena
Graphs
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Concept 6 of 8

Graphs: Plot Your Bot's Performance

Points on a grid. Lines tell a story.

5
5
0 min
At t = 0, distance = 0 cm
GRAPH
Y-axis ↑
Distance (cm)
X-axis →
Time (min)

A graph is a picture of data. The x-axis shows time, and the y-axis shows distance.

x2, y30

Each point is a measurement. The point (2, 30) means at minute 2, the bot traveled 30 cm.

(0, 0)
(1, 8)
(2, 15)
(3, 21)

More points tell the full story. Plot one point per minute to see the bot's journey.

Connect the dots — you get a line. The line shows how the bot performs over time.

STEEP
Fast bot
GENTLE
Slow bot

The shape tells you what happened. A steep line = fast bot. A gentle line = slow bot.

Find x
👇
→
Go up
👆
→
Go across to y
👈

Read the graph: find x, go up to the line, then go across to read y.

Speed
5
x
Time
4 min
x
Endurance / 10
1.0
Formula:
Distance = Speed x Time x (Endurance / 10) = 5 x 4 x 1.0

A bot has Speed = 5 and Endurance = 10. At t = 4 minutes, what is the distance?

cm