A journey consists of three consecutive segments described below

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

A journey consists of three consecutive segments described below. Segment A (0≤t≤10 \le t \le 1): x=3tx = 3t, y=0y = 0 Segment B (1≤t≤21 \le t \le 2): x=3+3cos⁡(π(t−1))x = 3 + 3\cos\bigl(\pi (t-1)\bigr), y=3sin⁡(π(t−1))y = 3\sin\bigl(\pi (t-1)\bigr) Segment C (2≤t≤32 \le t \le 3): x=3−3(t−2)x = 3 - 3(t-2), y=0y = 0 Determine the length of Segment B only.

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