The acceleration on a falling tennis ball is not constant due to air resistance.  The time dependent acceleration is g*e^-bt, where b is some constant related to the drag coefficient of friction in air and mass of the ball. What is the velocity of the ball at time t, assuming it starts from rest at t=0?

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The acceleration on a falling tennis ball is not constant due to air resistance. 

The time dependent acceleration is g*e^-bt, where b is some constant related to the drag coefficient of friction in air and mass of the ball.

What is the velocity of the ball at time t, assuming it starts from rest at t=0?

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