∮
6 ptsCalculus BC · FRQ Trainer
Free-response 1 of 2 · Unit 8: Applications of Integration / Motion
Prompt
A particle moves along the x-axis with velocity v(t) = t² − 6t + 8 m/s for 0 ≤ t ≤ 5; x(0) = 3 m. (a) Find the acceleration at t = 1. (b) Find all times the particle changes direction, with justification. (c) Find the total distance traveled on [0, 5]. (d) Find the position at t = 5.
Keep writing to unlock scoring (0/120)
Write your response first — then grade it with AI or self-score against the rubric.