Q17 A river is 0.76 km wide. The banks are straight and parallel. The current is...
M10. A river is 1.0 km wide, and flows at 10 km/h. Points A and B are on opposite banks, directly across from each other, while point C is 1.0 km upstream from A. A motorboat which can move at 25 km/h in still water travels from A to B, then from B to C. What is the minimum possible time for this trip? (7.64 min)
A toy boat is released at point A into a river 0.1 km wide. The boat propels itself at a constant 2 km/hr in a direction perpendicular to the shore. The velocity (in KM/Hr) of the current in the river is given by the equation V_C = 200(y-10y^2) where y is the distance from the shore at A (in km). What distance x is the boat downstream when it reaches the other side of the river? Dynamics problem - This...
3 400 29. Water traveling along a straight portion of a river normally flows fastest in the middle, and the speed slows to almost zero at the banks. Consider a long straight stretch of river flowing north, with parallel banks 40 m apart. If the maxi- mum water speed is 3 m/s, we can use a quadratic function as a basic model for the rate of water flow x units from the west bank: f(x) x(40 – x). (a) A...
A 260 -m-wide river has a uniform flow speed of 1.5 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.6 m/s with respect to the water. There is a clearing on the north bank 66 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 210 -m-wide river has a uniform flow speed of 0.72 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 6.0 m/s with respect to the water. There is a clearing on the north bank 71 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 330-m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.1 m/s with respect to the water. There isa clearing on the north bank 45 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the...
A 130 -m-wide river has a uniform flow speed of 1.1 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.1 m/s with respect to the water. There is a clearing on the north bank 42 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative...
A 380-m-wide river has a uniform flow speed of 0.59 m/s through a jungle and toward the east.An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 3.4 m/s with respect to the water. There is a clearing on the north bank 28 m upstream from a point directly opposite the clearing on the south bank. (a) At what angle, measured relative to the...
A fisherman wishes to cross the river 1 km in width in which the current is 5 km/h toward the north. The fisherman is on the West Bank. His boat is propelled with a speed of 4 km/h relative to the water. (A) in what direction should he had in order to make the Crossing in the minimum time?(b) how long will the Crossing take?(c) determine the velocity of the boat with respect to a stationary observer.(d) determine the final...
Please thoroughly explain, especially the angle part.
Thanks!
A 290 -m-wide river has a uniform flow speed of 0.95 m/s through a jungle and toward the east. An explorer wishes to leave a small clearing on the south bank and cross the river in a powerboat that moves at a constant speed of 7.6 m/s with respect to the water There is a clearing on the north bank 64 m upstream from a point directly opposite the clearing on the...