The acceleration function (in m / s2) and the initial velocity are given for a particle moving along a line. Find the velocity at time t and the distance traveled during the given time interval. 
Definitions:
Producer Surplus
The discrepancy between the price at which sellers are prepared to offer a product and the actual selling price they obtain.
Market Failure
The failure of a market to be efficient; when the individual pursuit of self-interest leads to bad results for society as a whole.
Market Power
The ability of a producer to raise prices.
Externalities
External benefits and external costs.
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