plzz answer it fast it's urgent....
Answers
Answer:
Explanation:
Hey there !
Solution:
Since the man needs to swim straight towards the bank, we can say that the vector must be perpendicular to the bank.
So the speed of the stream is 3 km/hr and the person has to go straight towards the bank. Hence the person must be swimming diagonally to make a straight path.
So if we imagine the thing to be right angle triangle, the hypotenuse would be the swimmer's direction and the base would be the river's velocity and direction.
So Applying Pythagoras Theorem we get,
3² + x² = 5²
=> x² = 5² - 3²
=> x² = 25 - 9
=> x² = 16
=> x = √16 = 4 m/s
Hence the swimmer would go at a velocity of 4 m/s in a perpendicular path from the other bank.
So the question also inquires for time.
We know that, Time = Distance / Speed
=> Distance = 1 km = 1000 m
Distance is converted to meters as the speed is in meter per second.
=> Time = 1000 m / 4 m/s
=> Time = 250 seconds or 4 minutes and 10 seconds.
Hope my answer helped !
Refer to the attachment for diagram !
In the diagram,
Vm = Velocity of man
Vr = Velocity of river
V = Resultant Velocity
Answer:
your answer is in the attached file