A woman can row a boat at 7.60 km/h in still water. (a) If she is crossing a river where the current is 3.80 km/h, in what direction must her boat be headed if she wants to reach a point directly opposite her starting point? Express your answer as an angle with respect to the line perpendicular to the river, positive if down the river. (b) If the river is 7.60 km wide, how long will she take to cross the river? (c) Suppose that instead of crossing the river she rows 3.80 km down the river and then back to her starting point. How long will she take? (d) How long will she take to row 3.80 km up the river and then back to her starting point? (e) In what direction should she head the boat if she wants to cross in the shortest possible time, and (f) what is that time?

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Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.