Advanced Maths (Vectors) AQA Level
posted by Jat
A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the river.
a) If the boat leaves A and steer towards B, at what speed it will travel and at what point it will reach the opposite bank?
b) If the boat needs to travel towards B, in which direction it should be steered and the speed at which it will travel?

Jat
a)by Phythagorous
c^2 =a^2 + b^2
= 5^2+ 2^2=25+4=29
c=5.38m/s
b)sin (theta)=2/5
theta = sin^1 (2/5)
theta=23.57 degree
Respond to this Question
Similar Questions

physics
A boat crosses a river, which is 60 meters wide in 15 seconds. Upon crossing, the boat, which had headed straight across the river, ended up 20 meters downstream. A). What was the speed of the boat in still water? 
physics
A boat propelled so as to travel with a speed of 0.50m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross … 
physics
River A & B flow into river C. River A is 40 ft wide and is flowing at an average of 2.47 mph. River B is 25 ft wide and has a flow rate of 1125 cubic feet per second. Assume all rivers have a uniform depth of 15 ft. If river C is … 
Advanced Maths (Vectors) AQA Level, please help?
A boat which can travel at 5m/s in still water is crossing a river 200 m wide.the rate of the flow of the river is 2 m/s assumed uniform at every point in the river. Point A and B are directly opposite to each other across the river. … 
physics
A 410mwide river has a uniform flow speed of 2.0 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 7.9 m/s … 
Physics
A boat sets off perpendicular to the bank, to cross a river width of 250m. The speed of the boat in still water is 3.20ms1, however there is a current downstream at 1.20ms1, which puss the boat sideways. a) Find the resultant velocity … 
Physics
A boat propelled so as to travel with a speed of 0.5m/s in still water, moves directly (in a straight line) across a river that is 60m wide. The river flows with a speed of 0.30m/s. How long in seconds does it take the boat to cross … 
Physics
A river flows at a speed of 4.60 m/s. A boat, capable of moving with a speed of 5.80 m/s in still water is rowed across the river at an angle of 53.0° to the river flow. Calculate the resultant velocity with which the boat moves and … 
physics
A boater wants to head straight across a river that has a current of 3 km/hr. If the top speed of the boat in still water is 4 km/hr. 1.find the direction the boat must travel into the current to go straight across the river? 
English
1. He is in the river. [For example, half of his body is in the water. Or he is swimming in the river. He may be enjoying scubdiving in the river.] 2. He is on the river. [He is rowing a boat on the river. He is floating down on a …