Boat Velocity and River Flow Analysis

The video tutorial explains how a motorboat crosses a river with a northerly velocity of 2 m/s while the river flows eastwards at 1.5 m/s. It demonstrates how to determine the boat's resultant velocity using a graphical method. The process involves drawing vectors to scale, adding them head to tail, and measuring the resultant vector. The tutorial concludes by confirming the resultant velocity using both graphical and mathematical methods, such as Pythagoras' theorem.

What is the initial velocity of the motorboat as it crosses the river?

• 1 m/s north

• 1.5 m/s east

• 2 m/s north

• 2.5 m/s east

In which direction is the river flowing, and at what speed?

• East at 1.5 m/s

• South at 2 m/s

• North at 1.5 m/s

• West at 2 m/s

What is the purpose of using a scale in the graphical method?

• To convert real-life distances to diagram distances

• To calculate the time taken to cross the river

• To measure the weight of the boat

• To determine the color of the vectors

How should vectors be added graphically?

• Head to tail

• Randomly

• Head to head

• Tail to tail

What is the length of the line representing the river's velocity in the scale diagram?

• 10 cm

• 15 cm

• 20 cm

• 25 cm

What is the resultant velocity of the boat according to the graphical method?

• 3 m/s

• 2.5 m/s

• 2 m/s

• 1.5 m/s

What shape is formed by the vectors and the resultant velocity in the diagram?

• Square

• Circle

• Right-angled triangle

• Pentagon

What mathematical theorem can be used as an alternative to the graphical method?

• Pythagoras' theorem

• Newton's laws

• Einstein's theory

• Archimedes' principle

What is the final resultant velocity of the boat in m/s?

• 1 m/s

• 2 m/s

• 3 m/s

• 2.5 m/s

What is the angle of the boat's resultant path relative to its initial direction?

• Unknown

• 90 degrees

• 60 degrees

• 45 degrees