The problem that follow involve straight-line motion. The time t is in seconds unless othe...

The problem that follow involve straight-line motion. The time t is in seconds unless otherwise stated.

Problem

An engineer designing a system to control a router for a machining process models the system so that the router’s acceleration (in in/s2) during an interval of lime is given by a = –0.4v, where v is the velocity of the router in in/s. When t = 0, the position is s = 0 and the velocity is v = 2 in/s. What is the position at t = 3 s?