Resultant Velocity and River Current

The video tutorial covers a physics problem from a June 2012 exam, focusing on a boat crossing a river with a current. It explains how to calculate the time required for the boat to cross the river using velocity and distance. The tutorial also demonstrates how to construct velocity vectors and calculate the resultant velocity both mathematically and graphically using the Pythagorean theorem and vector diagrams.

What is the velocity of the river's current?

• 4 m/s to the South

• 3 m/s to the North

• 2 m/s to the East

• 1 m/s to the West

How far is the boat from the north riverbank?

• 100 meters

• 75 meters

• 60 meters

• 50 meters

What is the formula used to calculate the time required for the boat to cross the river?

• Time = Distance x Velocity

• Time = Velocity x Distance

• Time = Distance / Velocity

• Time = Velocity / Distance

What is the time taken for the boat to cross the river?

• 30 seconds

• 25 seconds

• 20 seconds

• 15 seconds

What scale is used to draw the river's velocity vector?

• 1 cm = 0.5 m/s

• 1 cm = 0.25 m/s

• 1 cm = 1 m/s

• 1 cm = 2 m/s

How long should the vector representing the river's velocity be drawn?

• 5 cm

• 4 cm

• 3 cm

• 2 cm

Which theorem is used to calculate the resultant velocity of the boat?

• Pythagorean theorem

• Newton's theorem

• Archimedes' theorem

• Einstein's theorem

What is the resultant velocity of the boat?

• 2.5 m/s

• 3.0 m/s

• 3.6 m/s

• 4.0 m/s

What method is used to graphically find the resultant velocity?

• Parallelogram method

• Triangle method

• Rectangle method

• Circle method

What is the importance of drawing an arrow on a velocity vector?

• To indicate the direction

• To show the magnitude

• To show the scale

• To indicate the start point