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Maximum Speed from Velocity Graph
The object attains its maximum speed when t=
Need a hint?
Speed is the absolute value of velocity.
Correct answer
D. 3
Solution
The graph shows velocity, not speed. The speed is |v(t)|. The largest magnitude of velocity shown occurs at t=3, where v=-10. The speed there is 10, which is greater than the speed at the other listed times.
Detailed solution
Although the velocity is negative at t=3, the speed is positive and equals the magnitude of velocity.
Common mistake
A common mistake is choosing where velocity is greatest rather than where speed is greatest.
Trap logic
The trap is ignoring negative velocity values when comparing speed.
What this reveals
If this was difficult, it may reveal weakness in particle motion vocabulary.
StudyGlitch notes
This AP Calculus AB applications question tests velocity and speed interpretation.
For particle motion, remember that speed is |v|.
Look for the point farthest from the t-axis.
This week’s question is more than a score.
A wrong answer usually points to a pattern: slow recognition, a trap choice, weak setup, or pressure under time. Use this challenge as a signal, then connect it to your diagnostic, practice history, and weekly StudyGlitch progress.