Find the velocity function and the position function

Reference no: EM131012368

1. A population of bacteria grows at rate N'(t) = 20e^0.05t after t hours, under ideal conditions. There are initially 10 bacteria present.

(a) Find N(t) for t ≥ 0.

(b) How many hours does it take for the population to reach 1 million?

2. Suppose the acceleration of an object traveling in one-dimension is given by a(t) = -4 m/s². Assuming the object was initially traveling at 150 m/s and s(0) = 0, find the velocity function v(t) and the position function s(t) for t ≥ 0.

Reference no: EM131012368

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