A particle moves according to the following parametric descriptions

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

Problem

A particle moves according to the following parametric descriptions. Segment 1 (0≤t≤1):  x=2t,  y=3t(0 \le t \le 1): \; x = 2t, \; y = 3t Segment 2 (1≤t≤2):  x=2,  y=3+4(t−1)(1 \le t \le 2): \; x = 2, \; y = 3 + 4(t-1) Calculate the total distance the particle travels from t=0t = 0 to t=2t = 2.

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