# What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 12-3t# from #t in [0, 4]#?

The average speed is

The speed is the integral of the acceleration

Therefore,

So,

The average speed is

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The average speed of the object over the time interval [0, 4] is 8 units per time.

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