A person rows his boat in stream with a speed of 2.0 m/s.Water in the stream is flowing perpendicular to the direction of flow,find graphically his resultant velocity.
wouldn't this be a right triangle? Ever here of c^2=a^2 + b^2 ? That once was taught in high schools.
Ac2=AB2+BC2
To find the resultant velocity graphically, we can use a technique called vector addition. In this case, we need to add the velocity of the boat (2.0 m/s) with the velocity of the stream (perpendicular to the boat's direction).
Step 1: Draw a vector to represent the velocity of the boat. Since the boat's speed is 2.0 m/s, draw an arrow pointing in the direction of the boat's motion and label it as 2.0 m/s.
Step 2: Draw another vector to represent the velocity of the stream. In this case, the stream flows perpendicular to the direction of the boat. Since the problem does not provide the speed of the stream, assume it is 1.0 m/s for now. Draw an arrow perpendicular to the boat's direction and label it as 1.0 m/s.
Step 3: Add the two vectors geometrically. To do this, place the tail of the stream's velocity vector at the tip of the boat's velocity vector. The resulting vector, starting from the tail of the boat's vector and ending at the tip of the stream's vector, represents the resultant velocity.
Step 4: Measure the length and direction of the resultant vector. The length of the resultant vector represents the magnitude of the resultant velocity, while the direction gives us the direction of the resultant velocity.
Step 5: If you want to find the exact value of the resultant velocity, you may use the Pythagorean theorem. First, find the magnitude of each vector using their lengths. Then, use the Pythagorean theorem to find the length of the resultant vector. Finally, use trigonometry to find the direction of the resultant vector.
Note: The above steps describe a graphical method for finding the resultant velocity. To find the exact values, you may need additional information such as the angle between the boat's velocity and the stream's velocity.