Maximum distance An object moves on a line with velocity v(t)= 10/(t + l)2 mi/hr for t ≥ 0. What is the maximum distance the object can travel?

Problem 45E

Maximum distance An object moves on a line with velocity v(t)= 10/(t + l)2 mi/hr for t ≥ 0. What is the maximum distance the object can travel?

Here v=

Velocity is nothing but change in distance with respect to time

So to find the maximum distance we integrate on both sides

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