Aboat that travels 3.00 m/s relative to the water is crossing a river that is 1.00 km wide. the destination on the far side of the river is 0.500 km downstream from the starting point. (a) if the river current is 2.00 m/s, in what direction should the boat be pointed in order to reach the destination? (b) how much time will the trip take?

a) 10.29° upstream

b) t=338.7s

Explanation:

If the river is 1km wide and the destination point is 0.5km away downstream, then the angle and distance the the boat has to travel is:

The realitve velocity of the boat respect to the water is:

 where β is the angle it has to be pointed at.

From the relative mvement equations:

 where

From this equation we get one equation per the x-axis and another for the y-axis. If we square each of them and add them together, we will get 2 equations:

 Solving for V:

V = 3.3m/s   and   V=-1.514m/s   Replacing this value into one of our previous x or y-axis equations:

The amount of time:

b would be the answer

the temperature and the pressure affect solubility. temperature affects by changing the properties of the solvent. the increase in pressure increases solubility, the decrease in pressure decreases solubility.