The velocity of an object is given as a function of time by v = 4t − 3t2, where v is in m/s and
t is in seconds. Its average velocity over the interval from t = 0 to t = 2s:
A. is 0
B. is −2m/s
C. is 2m/s
D. is −4m/s
E. cannot be calculated unless the initial position is given
ans: A

Average velocity , v=024t-3t2 dtv=024t-3t2 dt =4t22-3t3302                                 =2t2-t302=2×22-23= 8-8 = 0Hence option (A) is true.

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