# What is the average speed of an object that is moving at #8 m/s# at #t=0# and accelerates at a rate of #a(t) =5-2t# on #t in [0,3]#?

12.5

Integrate the acceleration to get the velocity as a function of time.

Integrate the velocity to get the displacement as a function of time.

Divide this by the time (3 seconds) to get the average velocity.

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The average speed is 11.5 m/s.

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