Engr 213

1) Suppose that a body moves through a resisting medium with resistance "- proportional to its velocity v, so that velocity of Vo is observed at location x0 -kv. It is known that a body's initial a. Estimate the body's velocity and the position at any time t>0 b. Conclude that the body travels only a finite distance and determine that distance 2) A motorboat is moving at 15 m/s when its engine suddenly quits, and that 10 s later the boat has slowed to 8 m/s. Assume, as in Problem 1 above, that the resistance it encounters while coasting is proportional to its velocity. Estimate the distance traveled by the boat after its engine failure 3) Consider a body that moves horizontally through a medium whose resistance is proportional to the square of the velocity v, sothatk2. It is known that a body's initial velocity of vo is observed at location xo a. Estimate the body's velocity and the position at any time t>0 b. Comment on the difference between this type of medium and the one in Problem1