For seconds, a particle has velocity meters per second. Calculate the particle’s net…

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

For 0≤t≤60\le t\le 6 seconds, a particle has velocity v(t)=2sin⁡(πt3)v(t)=2\sin\left(\dfrac{\pi t}{3}\right) meters per second. Calculate the particle’s net displacement and its total distance traveled on this interval, giving exact values.

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