The acceleration of an object as a function of time is given by a(t) = (1.00 m/s2)t2. If displacement of the object between time t = 1.00 s and time t = 2.00 s is 15.0 m, what is the velocity of the object at time t = 0.00 s?
Added by David D.
Step 1
00 s. We can do this by integrating the acceleration function over the time interval from t = 1.00 s to t = 2.00 s: v(2.00) - v(1.00) = ∫a(t)dt from t=1.00 to t=2.00 v(2.00) - v(1.00) = ∫(1.00 m/s2)t2 dt from t=1.00 to t=2.00 v(2.00) - v(1.00) = [(1/3)(2.00 m/s2)3 Show more…
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