A particle travels along a straight line with a velocity of v(t) = 3e^(-t/2)sin(2t) meters per second. What is the total distance, in meters, traveled by the particle during the time 0 ≤ t ≤ 2 seconds? Answers: (A) 0.835 (B) 1.850 (C) 2.055 (D) 2.261 (E) 7.025 Please help!!!

Question

A particle travels along a straight line with a velocity of v(t) = 3e^(-t/2)sin(2t) meters per second. What is the total distance, in meters, traveled by the particle during the time 0 ≤ t ≤ 2 seconds?    Answers: (A) 0.835   (B) 1.850   (C) 2.055   (D) 2.261   (E) 7.025   Please help!!!

anonymous · Answer

$$d(t)=\int_{t_{o}}^{t}|v(t)|dt$$