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Problem 20 - Entrance Test

A particle moves along the x-axis with velocity v(t)=6t-3t² m/s. At t = 0 it is at x = 0. Where is it at t = 2 s (in meters)?

Correct: B

x(t)=∫v dt=3t²-t³+C. C=0. At t=2: x=3·4-8=12-8=4 m.