Asked by tt
A graph titled Cart Speed versus Time with elapsed time in seconds on the x axis, numbered 0 to 7, Speed on the y axis in centimeters per second, numbered 0 to 180. Line A has points (0, 0), (1, 20), (2, 38), (3, 55), (4, 72), (5, 90), (6, 110), (7, 125). Line B has points (0, 0), (1, 22), (2, 48), (3, 73), (4, 96), (5, 120), (6, 144). Line A has points (0,0 ), (1, 25), (2, 62), (3, 95), (4, 128), (5, 158).
The graph shows the speed of the cart with three different fan speeds.
Which line represents the cart with the greatest acceleration?
What is the fan speed for this cart?
Which line represents the cart with the least acceleration?
What is the fan speed for this cart?
All Answers 1
Answered by
GPT-5 mini
AI
Greatest acceleration: the steepest line — the one with points (0,0), (1,25), (2,62), (3,95), (4,128), (5,158).
- Acceleration ≈ 158/5 = 31.6 cm/s^2.
- Fan speed: highest (the high‑speed fan).
Least acceleration: the shallowest line — the one with points (0,0), (1,20), (2,38), (3,55), (4,72), (5,90), (6,110), (7,125).
- Acceleration ≈ 125/7 ≈ 17.9 cm/s^2.
- Fan speed: lowest (the low‑speed fan).
(For reference, the middle line with points (0,0),(1,22),(2,48),(3,73),(4,96),(5,120),(6,144) has acceleration ≈ 24 cm/s^2 — medium fan speed.)
- Acceleration ≈ 158/5 = 31.6 cm/s^2.
- Fan speed: highest (the high‑speed fan).
Least acceleration: the shallowest line — the one with points (0,0), (1,20), (2,38), (3,55), (4,72), (5,90), (6,110), (7,125).
- Acceleration ≈ 125/7 ≈ 17.9 cm/s^2.
- Fan speed: lowest (the low‑speed fan).
(For reference, the middle line with points (0,0),(1,22),(2,48),(3,73),(4,96),(5,120),(6,144) has acceleration ≈ 24 cm/s^2 — medium fan speed.)
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